[HN Gopher] How far could a spaceship go if we never ran out of ...
       ___________________________________________________________________
        
       How far could a spaceship go if we never ran out of thrust? (2020)
        
       Author : ec109685
       Score  : 268 points
       Date   : 2021-08-10 06:52 UTC (16 hours ago)
        
 (HTM) web link (www.forbes.com)
 (TXT) w3m dump (www.forbes.com)
        
       | wildmanx wrote:
       | "If we never ran out of thrust, we could hypothetically reach
       | anywhere in the Universe that a photon emitted today could
       | reach."
       | 
       | versus
       | 
       | "I am a Ph.D. astrophysicist"
       | 
       | I'm confused.
       | 
       | In other words: How is he planning to catch up to a photon?
        
         | maweki wrote:
         | Not catching up. But reaching the destination. That's limited
         | though, as space expands. And any place is reachable that the
         | photon is able to reach as these parts* are not expanding
         | faster than the speed of light.
         | 
         | * The whole space between start and destination, of course
        
       | dghf wrote:
       | One thing I've never been quite clear on:
       | 
       | > If it weren't for Einstein's relativity, you might think that,
       | with each second that passes by, you'd simply increase your speed
       | by another 9.8 m/s. If you started off at rest, it would only
       | take you a little less than a year -- about 354 days -- to reach
       | the speed of light: 299,792,458 m/s. Of course, that's a physical
       | impossibility, as no massive object can ever reach, much less
       | exceed, the speed of light.
       | 
       | > The way this would play out, in practice, is that your speed
       | would increase by 9.8 m/s with each second that goes by, at
       | least, initially.
       | 
       | From the point of view of an external observer, this seems clear
       | enough: the ship's acceleration would reduce, at first gradually,
       | then ever more sharply as its velocity approached _c_.
       | 
       | But what about from the point of view of the ship's crew? Would
       | they also measure a drop in acceleration -- e.g., would they
       | weigh less?
       | 
       | Or would it be that they would measure the same acceleration, but
       | the final picosecond (according to their clock), which would
       | without relativity push their velocity to and past _c_ , instead
       | stretches out infinitely, thanks to ever-increasing time
       | dilatation?
        
         | cout wrote:
         | As I understand, the crew would not notice any difference,
         | since time is slowed in their frame of reference relative to
         | that of an observer.
        
         | ruszki wrote:
         | The crew would feel as they accelerate by a constant 9.8 m/s^2.
         | They would not feel any slow down in time. For an external
         | observer, the crew would never reach speed of light, but they
         | would close the gap continuously.
        
           | JohnPrine wrote:
           | so after 354 days would the crew believe they had exceeded
           | the speed of light?
        
             | dghf wrote:
             | I _think_ they would never reach the end of the 354th day,
             | because they 'd be caught in something akin to Zeno's
             | Paradox: the closer they got to _c_ , the more time would
             | slow down for them.
             | 
             | You could draw up a table mapping shipboard times to Earth
             | times: the length of time passing on Earth between each
             | onboard second/millisecond/microsecond etc. would get
             | longer and longer, with the final moment at which the ship
             | achieves _c_ never actually arriving.
             | 
             | ETA: basically what @ninkendo said (but they said it
             | better, and first).
        
             | ninkendo wrote:
             | If you could somehow indefinitely maintain 9.8m/s^2
             | acceleration, as you get really really close to c, your
             | definition of a "second" becomes so long that it basically
             | goes to infinity (time starts to travel infinitely slow for
             | you.) Maintaining 9.8m/s^2 at such velocities starts to
             | require infinite energy. If you were somehow able to reach
             | c, your internal clock would be so slow (and the rest of
             | the universe would be going by so quickly) that would
             | experience the end of the universe essentially
             | instantaneously.
             | 
             | So the practical answer to what the crew would experience
             | on the 355th day of 1G acceleration is: "That's
             | impossible." The energy requirements approach infinity, and
             | so does the speed of time for the rest of the universe
             | they'd see out their window.
        
               | JohnPrine wrote:
               | thats so cool!
        
               | stickfigure wrote:
               | This description doesn't seem quite right to me. The laws
               | of physics work the same in all reference frames, so from
               | the frame of the crew, day 355 would simply be yet
               | another day of 1G acceleration. At least inside the
               | spacecraft, they would notice no difference from day 354
               | (or any other previous day).
               | 
               | When they look out the windows, they will see odd things
               | with respect to the apparent speed of other visible
               | objects (including they never get farther/closer at a
               | rate faster than C). But there's nothing theoretical that
               | prevents you from continuing to accelerate at 1G forever.
               | 
               | Edit: I guess what I don't like about your description is
               | that you mix reference frames. A spaceship can maintain
               | 9.8m/s^2 (from its perspective) infinitely with constant
               | energy expenditure. Energy expenditure rises
               | asymptotically only if you require constant acceleration
               | of the spaceship from Earth's perspective. But that's a
               | peculiar way of framing it.
        
               | swamp40 wrote:
               | Curious what the "end of the universe" looks like from a
               | photon's POV?
        
             | stickfigure wrote:
             | No. The earth (or whatever origin) would still appear to be
             | moving away at something less than C.
        
       | [deleted]
        
       | adrianN wrote:
       | The social effects of relativistic time dilation are an important
       | topic in "The Forever War".
        
         | neartheplain wrote:
         | Fantastic sci-fi novel with continuing modern relevance. Often
         | interpreted as metaphor for the author's experience in the
         | Vietnam War, and his return to American society after what felt
         | like a period of otherworldy time-dilation.
         | 
         | The graphic novel version is great too, if you can find a copy:
         | 
         | https://en.wikipedia.org/wiki/The_Forever_War_(comics)
        
       | quickthrower2 wrote:
       | I never knew you could get that far in that amount of time
       | (experienced by passengers) with just 1g of force so it's
       | thoroughly interesting and in some sense everything is quite
       | close: as long as you are OK with a one way ticket.
        
         | londons_explore wrote:
         | A one way ticket with no messages back to/from home.
        
           | mattowen_uk wrote:
           | For such a long trip, the only logical ship type would be a
           | self-sustaining generational colony ship full of hundreds of
           | people. The concept of 'home' would quickly shift from being
           | the Earth to being your ship, so staying in contact with your
           | origin planet would become irrelevant.
        
             | quickthrower2 wrote:
             | Might be why the simulator is the most important technology
             | in star trek, to keep people sane, connect with nature etc.
        
               | [deleted]
        
               | jonplackett wrote:
               | The thing they never address - booking slots. That
               | simulator would _never_ be available!
        
               | Spare_account wrote:
               | Presumably a bunch of people could book sessions in one
               | simulator at the same time and simulate multiple
               | simulators inside the simulation, massively increasing
               | the capacity of the top-level simulator.
        
               | jonplackett wrote:
               | Haha! That's like wishing for more wishes. Definitely not
               | allowed.
        
               | mjevans wrote:
               | We the viewers follow high ranking officers on a capitol
               | starship. Surely this cushy position comes with a well
               | equipped post on a vessel that has a good number of such
               | units. Enough so that Voyager had the meme of holographic
               | crewmembers. I don't know if RedDwarf (Rimmer) or some
               | other scifi show got there first.
        
               | jonplackett wrote:
               | trust the internet to have already calculated the answer
               | to this question (you can have 10.8 hours per month = 30
               | minutes a day - not bad!)
               | 
               | https://www.reddit.com/r/startrek/comments/3aajfy/how_muc
               | h_h...
        
               | nsxwolf wrote:
               | If it's anything like VR, a bunch of the people on the
               | ship would lose interest and rarely use it, leaving lots
               | more time for the devotees.
        
             | Dylan16807 wrote:
             | Why do you need a self-sustaining generational colony ship
             | to go 30 years? Especially in the space future when we
             | should be able to slow aging down at least a moderate
             | amount.
        
               | DonHopkins wrote:
               | In space, they just call the "space future" the "future".
               | ;)
        
           | senectus1 wrote:
           | after the last year I imagine quite a few people would put
           | their hand up for that.
           | 
           | but also, what about deceleration?
           | 
           | You gotta stop some time to smell the roses... so would you
           | cut that acceleration time in half to decelerate?
        
         | simiones wrote:
         | It's important to note though that this kind of ship is still
         | impossible as far as I remember - even with matter/antimatter
         | reactions (which theoretically gives you E = mc^2 energy, the
         | maximum possible per kg), you can't get enough energy to
         | accelerate to the mass of the fuel to 1g, nevermind the rest of
         | the ship, for the duration required for interstellar travel.
        
           | grey413 wrote:
           | The amount of energy required for fast interstellar travel is
           | mind-boggling. People do not comprehend the scale. Even with
           | ridiculous things like massless fuel it would take multiple
           | times the entire yearly energy expenditure of the earth for
           | an ISS sized ship to travel 10 light years before the
           | passengers died of old age.
        
         | CodeGlitch wrote:
         | Also why stop at 1g? People could be trained to live in 1.2 or
         | even 1.5g.
        
       | wuliwong wrote:
       | This video from the "Cool Worlds" youtube channel is a fun walk
       | through this idea.
       | 
       | https://www.youtube.com/watch?v=b_TkFhj9mgk
        
       | rbanffy wrote:
       | Interesting to note that when you are travelling close to c, even
       | intergalactic vacuum requires a lot of mass ahead of you so the
       | ship is not vaporised.
       | 
       | Remember that when you are travelling to that galaxy 18 billion
       | light years away, you'll hit every photon it sent our way over 18
       | billion years in just about 45 years.
        
         | remcob wrote:
         | Could that radiative energy be turned into propulsion, at least
         | theoretically?
        
           | marcyb5st wrote:
           | Yes, but photons carry momentum even if they are massless,
           | and you can't convert more than 100% of that momentum to
           | energy for propulsion. So, if you achieve perfect efficiency,
           | you can avoid them from slowing you down and still have to
           | rely on internal energy sources to accelerate you .
        
             | TeMPOraL wrote:
             | I'm guessing you could at least use them to:
             | 
             | - Maneuver, like a sailboat.
             | 
             | - Decelerate. Shut off your thrust and dump the light-
             | absorbing covers to reveal mirrors, for 2x the
             | deceleration. Photobraking?
        
               | marcyb5st wrote:
               | True and true, especially the decelerating part. Akin of
               | what a light-sail would do.
        
               | holoduke wrote:
               | Can during deacceleration all energy be absorbed and used
               | for accelerating at a later moment?
        
               | marcyb5st wrote:
               | Mmmh, I don't think so. At least efficiently. You might
               | be able to decelerate emitting photons in front of you
               | but they would escape to infinity unless you put them in
               | orbit around a black hole. In that case perhaps.
               | 
               | If we will ever have the technology to instead create
               | proper massive particles at scale you could eject those
               | in orbit around some other massive object and then re-
               | steal their angular momentum to accelerate yourself. But
               | that I believe would be an extremely lossy process so you
               | would lose most of the energy.
        
         | bobsmooth wrote:
         | I always knew intergalactic hydrogen might be a problem but I
         | never considered the effect of travelling really fast on photon
         | absorption.
        
           | rbanffy wrote:
           | The hydrogen may be a problem well before the light or CBR
           | become another.
        
           | dvdkhlng wrote:
           | If you travel close to C, those photons will be blue-shifted
           | into (depending on velocity) very energetic photons (x-ray,
           | gamma spectrum) that may be rather difficult to shield
           | against.
        
             | Koshkin wrote:
             | > _close to C_
             | 
             | As a programmer, this gave me this warm feeling...
        
               | weregiraffe wrote:
               | But when you accelerate even more, it will be C++.
        
               | hateful wrote:
               | Special Relativity states that it's time that changes,
               | not the speed of light. C is constant regardless of your
               | reference frame. So, it's still C, but instead, it will
               | take a lot longer to complete your project. You're
               | definitely going to miss your deadline.
        
         | xwdv wrote:
         | If you happened to be a civilization that lived at the very
         | edge of the universe, such that every star was in one direction
         | and there was only black emptiness in the other, could you the
         | accelerate indefinitely into the blackness without worrying
         | about having mass to shield you?
        
           | [deleted]
        
         | MichaelZuo wrote:
         | Yes, shielding would be even more difficult at those speeds
         | than 'unlimited thrust'.
        
         | jsilence wrote:
         | Nah, just put a solar panel at the front of the ship. Free
         | energy!!
        
           | nindalf wrote:
           | And use that energy to sustain the acceleration. Sounds like
           | a perpetual motion machine!
        
             | anchpop wrote:
             | Unfortunately the photons hitting the solar panel at the
             | front of your spaceship will slow you down by at least as
             | much as you could turn them into thrust by shooting them
             | out behind you (conservation of momentum) :(
        
               | FeepingCreature wrote:
               | Could you collect photons from all around you and
               | accelerate them out the back? There's no reason you have
               | to place the solar panel at the front.
               | 
               | Force would be negligible of course. But if you are in
               | space, you are surrounded by energy in the form of
               | starlight; it would be weird if that energy could not be
               | used for work.
        
               | dogma1138 wrote:
               | No, "collecting" photons transfers momentum so at best if
               | you have 100% conversion rate you won't slow down, so you
               | need a separate source for acceleration.
               | 
               | Whilst photons hit your ship from all direction the
               | photons incoming from the direction of travel would be
               | shifted towards higher frequencies so their momentum
               | would be higher than the photons hitting the ship from
               | the opposite direction so unless there is a sufficient
               | difference in the number of photons hitting you from the
               | back to compensate for it you would still not be able to
               | extract energy to move.
               | 
               | This means that even say a solar sail has a limit on
               | acceleration at a certain speed the photons hitting the
               | front of the sail would be blue shifted enough to
               | counteract the acceleration of photons hitting you from
               | the back, even if you convert them to useful energy it
               | wouldn't matter since you'll reach equilibrium.
        
               | [deleted]
        
               | notimpotent wrote:
               | Sorry for my ignorance, but if photons do not have mass,
               | how do them impacting the solar panel have any effect on
               | the ship's velocity?
        
               | kibwen wrote:
               | Photons don't have mass, but they do have momentum, which
               | is the reason that solar sails work.
        
               | salawat wrote:
               | Radiation pressure. Remember, solar sails are a thing. At
               | some point, you're blazing through spacetime so fast all
               | that energy you're trying to share the same physical
               | location with is impacting and ablating your hull
               | material.
               | 
               | Relative velocity is a hell of a drug.
        
               | pja wrote:
               | Photons do have mass, because energy has mass & photons
               | carry energy. They have no rest mass, which is why they
               | are usually described as massless, but this isn't the
               | whole story!
        
               | Diggsey wrote:
               | What we call "mass" is actually "rest mass" - ie. the
               | mass when the thing is not moving. Photons don't have
               | rest mass because they don't rest.
               | 
               | What photons _do_ have is momentum, and so due to
               | conservation of momentum, hitting a photon will slow you
               | down.
        
             | jsilence wrote:
             | To boldly go where no one has gone before!
        
               | Koshkin wrote:
               | Or, simply move your frame of reference.
        
               | jsilence wrote:
               | Why does the road cross the chicken?
        
               | euroderf wrote:
               | To boldly reframe your frame of reference where no man
               | has reframed that frame of reference before! (cue
               | music...)
        
             | spaetzleesser wrote:
             | I remember reading about a design that basically works like
             | this. It's sucks up all the atoms in front of the ship and
             | uses them for acceleration. I think there is also a book
             | about this where such a ship has a problem which doesn't
             | allow it to slow down. So they just keep accelerating. Wish
             | I could remember the name.
        
               | kadoban wrote:
               | You're likely talking about a Bussard ramjet. The book
               | should be Tau Zero.
        
               | kanisae wrote:
               | You are thinking of Tau Zero by Poul Anderson. It's well
               | worth reading even though the cosmology is dated.
        
             | ramraj07 wrote:
             | You need mass to accelerate. Not just electricity.
        
               | netjiro wrote:
               | > You need mass to accelerate.
               | 
               | * momentum , impulse , force
        
               | cygx wrote:
               | https://en.wikipedia.org/wiki/Photon_rocket
        
               | a_t48 wrote:
               | Just turn the energy into mass, duh.
        
         | wcoenen wrote:
         | Even ignoring galaxies, there's also the cosmic microwave
         | background.
         | 
         | It turns out that there is a rest frame in which this
         | background looks the same in all directions. But if you keep
         | accelerating in one direction, the CMB coming from there will
         | keep blueshifting: from microwave to IR, to visible, and
         | eventually hard gamma radiation.
        
           | eru wrote:
           | > It turns out that there is a rest frame in which this
           | background looks the same in all directions.
           | 
           | I was really surprised when I heard this for the first time a
           | while ago. Because it means that our universe does have a
           | _preferred_ frame.
        
             | chii wrote:
             | it's not really preferred in the sense that it's the
             | correct one - just one which has some sentimental meaning
             | to humans' interpretation.
        
               | eru wrote:
               | Well, 'preferred' as in 'different from all the others in
               | a way even aliens would recognise' (ie in accordance with
               | https://en.wikipedia.org/wiki/Copernican_principle ).
        
               | TeMPOraL wrote:
               | Aka. a Schelling point.
               | 
               | https://en.wikipedia.org/wiki/Focal_point_(game_theory)
        
               | eru wrote:
               | Well, it can serve as a Schelling point. But it's
               | interesting, even without any game theory.
        
           | nabla9 wrote:
           | CMB rest frame is important and special unique frame to use
           | as a reference.
           | 
           | Relativity means that there are no special frames where the
           | laws of physics are different.
        
             | ithkuil wrote:
             | the CMB is a bit mind bending; it's related to the question
             | "if the universe is expanding, in the past it was smaller
             | and smaller; so where is the center?"
             | 
             | Good read where you'll also learn about the "The Surface of
             | Last Screaming":
             | 
             | https://ned.ipac.caltech.edu/level5/March03/Lineweaver/Line
             | w...
        
               | cout wrote:
               | I understand how there can be no center if the universe
               | has positive curvature. But if the universe is saddle-
               | shaped and non-infinite, surely there has to be a center?
        
               | feoren wrote:
               | Rather than think "surface of a balloon inflating", think
               | "surface of an (infinite?) rubber sheet being uniformly
               | stretched". It does intuitively seem like if there is 0
               | curvature and no "center", then the universe must be
               | infinite though ...
        
               | effie wrote:
               | I think not; consider pseudosphere, there is no obvious
               | center. Its embedding in 3D space has infinite dimensions
               | but the object itself has finite surface area.
               | 
               | https://en.wikipedia.org/wiki/Pseudosphere
               | 
               | If you mean object with finite dimensions and negative
               | curvature and no center, there seems to be such a thing,
               | see Fig. n066200e:
               | 
               | https://encyclopediaofmath.org/wiki/Negative_curvature,_s
               | urf...
               | 
               | EDIT
               | 
               | Rozendorn's idea seems to be still an open question:
               | 
               | https://mathoverflow.net/questions/52851/the-geometry-of-
               | nad...
        
         | littlestymaar wrote:
         | It's even worse than this:
         | 
         | - all those photons are blue-shifted and becomes hard gamma
         | rays.
         | 
         | - once you get close enough from _c_ , all the stars in the
         | universe appear to be either right in front of you, or right
         | behind you, which means you get hit not only by gamma photons
         | coming from the galaxy you're aiming at, but gamma photons
         | coming from half the universe!
        
           | IX-103 wrote:
           | once you get close enough from c, all the stars in the
           | universe appear to be either right in front of you, or right
           | behind you
           | 
           | That's not really right. There is a distortion where things
           | appear more in front of you than they are at the time you see
           | them, but that's only because they were at that angle, but by
           | the time the light gets to you they're not where they appear.
           | 
           | Also there's nothing that would shift light to appear behind
           | you other than your movement away from objects that you have
           | passed.
        
             | yread wrote:
             | the photons from stars behind you are still faster than you
             | so they catch up with you
        
           | hinkley wrote:
           | I think this is why the Alcubierre drive will become critical
           | even at well below light speed. Assuming I understand the
           | physics correctly, the bubble of space around the ship is not
           | moving (very fast) relative to the ship and so moving at
           | fractional c will see an increase in flux but not the blue
           | shift. You're still hitting every spec of dust in your path,
           | but not turn the entire cone of the universe in front of you
           | into gamma rays.
           | 
           | At some point the warp drive might be cheaper than the
           | shielding.
        
             | marcyb5st wrote:
             | If an alcubierre drive can be created,even inside the
             | bubble of normal space time you would probably die. This is
             | because of the Unrue radiation that is created by
             | compressing the space time in front of you. Also, it seems
             | that even with the best theoretical approach you still need
             | the mass equivalent of Jupiter in exotic matter to make it
             | work for a small ship :/ Spacetime is extremely resistant
             | to compression/expansion.
        
           | rakoo wrote:
           | > once you get close enough from c, all the stars in the
           | universe appear to be either right in front of you, or right
           | behind you,
           | 
           | I don't understand that one, could you please expand on how
           | it works ?
        
             | jandrese wrote:
             | Think of it like walking in a rainstorm. Walk at a slow
             | pace and most of the rain hits your head, but if you're
             | moving very fast all of the rain will seem to be coming
             | from the front because you are running into it instead of
             | it running into you.
        
             | minitoar wrote:
             | I don't have an intuitive explanation but this is why
             | https://en.m.wikipedia.org/wiki/Aberration_(astronomy)
        
             | hinkley wrote:
             | Blue shift (aka increased apparent frequency) is caused by
             | the velocity between you and the source, not the velocity
             | of the source. That is how the speed of light works in
             | General Relativity. If you move toward a photon is doesn't
             | get faster, it gets higher frequency. If that's in the
             | visible range it shifts toward the blue end of the
             | spectrum.
             | 
             | If you move fast enough, all of the ultraviolet light
             | coming from behind you becomes visible light. A little
             | faster and all of the ultraviolet light in front of you
             | becomes X-rays. And all of the hard x-rays become gamma
             | rays.
        
             | scotty79 wrote:
             | Even if the photon is coming from the side, just slightly
             | ahead of you, you are ramming into it at near lightspeed.
             | You can't add up speeds in newtonian way so energy goes
             | (for you) into blueshift.
        
             | chadcmulligan wrote:
             | If you travel very close to c (relative to everything else)
             | then due to length contraction everything else in the
             | universe is 0 metres away. Likewise time appears stopped on
             | everything else moving close to c relative to you, due to
             | time dilation. (Is this right? I've never thought of it
             | this way before).
        
       | kazinator wrote:
       | If you use as much thrust as you can, you can get wherever you
       | are going in less time in the moving frame of reference. So that
       | it to say, the difference between going say, 0.99C and 0.9999C is
       | not that significant from the outside frame of reference, being
       | just 1%, the difference in how much time slows down inside the
       | ship is large.
        
       | londons_explore wrote:
       | Say you take the one-way ticket to travel to a far off galaxy at
       | 1g acceleration to go mine space-diamonds...
       | 
       | What when someone else in a few hundred earth years invents the
       | 1.1g rocket to go mine those same space diamonds? They will
       | arrive millions of (local) years before you. By the time you
       | arrive, the space diamonds will be all mined and you'll be seen
       | as a cave man.
       | 
       | That reason alone means it's never worth departing on a long
       | journey, because someone else always has an incentive to overtake
       | you and get there millions of years sooner.
        
         | vidarh wrote:
         | Quite a few scifi stories have explored the idea of someone
         | leapfrogged that way. I think it'd be a major concern of
         | sending someone that way.
         | 
         | [For one light take on this, the original Marvel "Guardians of
         | the Galaxy" (the year 3000 versions) have Vance Astro, Major
         | Victory, go on a 1000 year journey to Alpha Centauri, only to
         | find other humans got there centuries earlier and were waiting
         | for his arrival]
        
         | est31 wrote:
         | Currently we are in a phase of rapid scientific progress, but
         | there is no law that this will continue forever. One day we'll
         | hit diminishing returns and instead of discovering new things,
         | science will be about applying the knowledge discovered in the
         | past correctly, as well as not losing it. Thankfully we are
         | still far away from this.
        
         | withinboredom wrote:
         | Not only that, but whatever star the space diamonds are
         | orbiting probably won't be there any more.
        
         | mewpmewp2 wrote:
         | It would be quite a fun expedition though, knowing that when
         | you reach your destination there could already be many others
         | who have reached that point so you can see how everything has
         | advanced. Assuming your goals are oriented more towards
         | curiosity rather than making money.
         | 
         | You sacrifice 30 years to see what someone potentially achieved
         | within 1 million years. I'm sure there would be people willing
         | to do that.
         | 
         | Let's say I'm an uber billionaire (trillionaire in the future),
         | aged 45, I might think that I have tried already everything
         | there's to try on earth and want to see the future. I would
         | build a ship with more than enough entertainment for following
         | 30 years and invite bunch of other people and just start with
         | the journey.
         | 
         | Maybe I could even leave some money behind for other groups to
         | keep building better solutions that would reach the destination
         | much sooner so they can already start building out the
         | destination and have millions of years of time to do that
         | before I reach there.
         | 
         | It would be an enormous risk of course, but it could also pay
         | off very well if for example you still own a large proportion
         | of the business you leave behind to build the following
         | spaceships and if it ever should reach the destination was
         | still legally upholding the ownership you have. In fact in this
         | case you could be magnitudes more richer in the new location
         | when you arrive as compared to when you left 30 years ago in
         | your time.
         | 
         | Or if something like cryogenic freeze is possible, you could
         | also do that for some of the years if you ever got bored in the
         | ship.
        
         | neartheplain wrote:
         | That's also a common Star Trek plot point. Many episodes
         | involve the Enterprise catching up to a ship launched from
         | Earth in the pre-warp era, typically an early colony or
         | exploration vessel. The most of famous of these might be Khan
         | Noonien Singh's "Botany Bay:"
         | 
         | https://memory-alpha.fandom.com/wiki/SS_Botany_Bay
        
         | adrianN wrote:
         | Aha, but if everyone thinks that way you will actually be the
         | only one _daring enough_ to embark on that journey and have all
         | the space diamonds for yourself!
        
         | topynate wrote:
         | > They will arrive millions of (local) years before you.
         | 
         | No they won't - in the frame of reference of the galaxy, both
         | you and your pursuer will spend most of the journey traveling
         | at very close to the speed of light. The difference won't be
         | enough to catch up.
         | 
         | Put another way, in the frame of reference of the galaxy, you
         | get to Andromeda (2.5 million light-years away) only about two
         | years later than light would. Your pursuer, traveling at 1.1 g,
         | would get there about a year and 9 months after light. So
         | anyone chasing you would have to take off within about three
         | months - and after a year, _nothing_ could catch you.
         | 
         | This arrival time delay relative to light is pretty much
         | constant (for fixed g) for any distance over about 1000 light
         | years. For this reason, sci-fi authors who want ships to be
         | overtaken by later models either slow the old ships down to
         | much less than light-speed (i.e. generation ships) or introduce
         | FTL travel.
        
         | ehnto wrote:
         | By that reasoning, no-one ever leaves. If no-one had ever left,
         | you may as well have left and be there already.
         | 
         | I think the reason to leave will have to be something other
         | than space-diamonds, or other monetary needs. More like
         | planetary conquest and scientific advancement.
        
         | jusssi wrote:
         | In addition, something approacing from opposite direction might
         | _already be there_ when you decide to launch, digging away at
         | the diamonds. Or a local star might have gone nova and
         | vaporized the whole diamond field.
        
         | RavlaAlvar wrote:
         | Or someone who invented a device that can fold space time.
        
       | Robotbeat wrote:
       | Can someone calculate at which point a 100 ton spacecraft
       | accelerating at a constant 1gee (local) would have a total
       | kinetic energy exceeding the mass energy of the entire
       | (observable... as in, within our light cone) universe?
        
         | scotty79 wrote:
         | I'm not sure but I think that with constant acceletation, your
         | kinetc energy raises with time squared. And the whole c speed
         | limit just affects how kinetic energy relates to speed.
        
       | LeoPanthera wrote:
       | This concept is explored in the second sequel to "2001: A Space
       | Odyssey", "2061", albeit without approaching relativistic speeds.
       | 
       | Clarke explores the idea that in a future where fusion reactors
       | can be built, a spacecraft can have a fusion-powered motor for
       | which the fuel is simply water. In the book, a spacecraft travels
       | from Earth (or maybe Mars, it's been a while since I read it) to
       | Jupiter, and does it the "brute force" way by simply pointing at
       | Jupiter and thrusting at 1G until they are half way there, and
       | then turning around and slowing down at 1G until they arrive.
       | 
       | This has the bonus side effect of allowing the spacecraft to have
       | normal gravity inside it.
        
       | FartyMcFarter wrote:
       | Forbes's UI is infuriating.
        
       | dehrmann wrote:
       | > When we take a look at conventional rockets that we launch from
       | Earth, it surprises most people to learn that they barely
       | accelerate more rapidly than gravity accelerates us here on
       | Earth.
       | 
       | This is actually pretty obvious when you look at a launch and how
       | slowly it accelerates.
        
       | bencollier49 wrote:
       | "spacecrafts" - urgh! Who wrote this?
        
         | [deleted]
        
       | jillesvangurp wrote:
       | Relativistic speeds are a plot point in Andy Weir's recent book
       | "The Hail Mary Project". You might know him from the Martian a
       | few years ago.
       | 
       | Scott Manly did a Youtube episode on all sorts of weird
       | propulsion mechanisms that people have come up with over the
       | years a few months ago:
       | https://www.youtube.com/watch?v=QEZv_OXA_NI. There are some
       | interesting concepts in there. Including the anti matter based
       | concept discussed in the article. Particularly fusion looks like
       | it might get us some interesting amounts of delta v.
        
         | JoachimS wrote:
         | > Relativistic speeds are a plot point in Andy Weir's recent
         | book "The Hail Mary Project". You might know him from the
         | Martian a few years ago.
         | 
         | Just read the book and can highly recommend it. One of the good
         | thing about it is that the main protagonists are nice, curious
         | and friendly. No backstabbing, suprise turns of evilness to
         | create suspense. A pleasant read.
        
           | stavros wrote:
           | > No backstabbing, suprise turns of evilness to create
           | suspense.
           | 
           | Spoiler alert, kind of.
        
             | apocalyptic0n3 wrote:
             | In their defense, it turned out to be the right thing to
             | do.
        
           | pomian wrote:
           | All of Andy Weir's books are really good. There is even a
           | surprising one that's fun. Also recommend Saturn Run, by John
           | Sandford, while we are on this topic.
        
             | cecilpl2 wrote:
             | I never miss an opportunity to plug my favorite Andy Weir
             | short story - The Egg. It's very short and very good.
             | 
             | http://www.galactanet.com/oneoff/theegg_mod.html
        
               | stavros wrote:
               | And in Kurzgesagt video form:
               | https://www.youtube.com/watch?v=h6fcK_fRYaI
        
               | [deleted]
        
             | stavros wrote:
             | > There is even a surprising one that's fun.
             | 
             | Which one do you mean? I didn't like Artemis that much.
        
               | spullara wrote:
               | I loved the Martian and Project: Hail Mary but Artemis
               | was a disappointment.
        
           | vagrantJin wrote:
           | Can confirm, it is a really good read. I especially liked
           | that the protagonist really does things a normal person would
           | do despite the extraordinary circumstances. I wish hollywood
           | could take notes.
        
             | bgroat wrote:
             | A normal *smart* person. Which is even more rare.
             | 
             | The chapter where he deduces where he's from based on what
             | units he uses when he thinks about distance is incredible.
        
               | UI_at_80x24 wrote:
               | As a Canadian living close to the US border, that section
               | was relatable. Using both units (metric and imperial)
               | depending on scale has always felt unique to my
               | geography/age.
        
               | bgroat wrote:
               | I'm also Canadian and thought the very same thing!
               | 
               | I also really liked how he dialed in: - Okay, so I use X
               | unit when I thing of A, and Y Unit when I think of B....
               | But what kind of person am I that I know those values off
               | the top of my head?
        
               | vagrantJin wrote:
               | Haha. Yeah the early chapters really set a brilliant
               | tone. I thought the smart bit was implied. I would think
               | if we were going to send someone to another star system
               | to research how to stop our species from dying out - we'd
               | send someone of the intellectual elite at the very least,
               | "kicking and screaming"
               | 
               | What a brilliant book.
        
               | bgroat wrote:
               | You're absolutely right from a narrative sense.
               | 
               | I meant that writing a believable normal person is hard.
               | Most people are normal.
               | 
               | But writing a smart person is hard, because you often
               | just have to have them solve problems faster/remember
               | more/have information that the reader doesn't.
               | 
               | Project Hail Mary did a wonderful job of showing that a
               | smart person doesn't necessarily think "The same, but
               | faster", but that they think differently and deliberately
        
             | nkrisc wrote:
             | It's why The Martian is one of my favorite movies (and
             | book, of course). No evil, conniving, contrived antagonist
             | designed to be hated. It's just everyone working together
             | against the most unforgiving antagonist of all: the
             | universe itself.
             | 
             | I don't want to watch movies or read books where people are
             | just awful to other people, I can open the newspaper on any
             | given day to find that.
        
               | howsaboutme wrote:
               | > No evil, conniving, contrived antagonist designed to be
               | hated. It's just everyone working together against the
               | most unforgiving antagonist of all: the universe itself.
               | 
               | Can I recommend then Becky Chamber's Wayfarer Series (4
               | books). What a refreshing change.
        
               | spiderice wrote:
               | > It's why The Martian is one of my favorite movies (and
               | book, of course)
               | 
               | It's funny because even though the book was so loved
               | because it was so rational, and human's actually acted
               | how humans would act in that situation, Hollywood STILL
               | couldn't resist making tweaking the end slightly to make
               | it over the top and impractical. Thus we ended up with
               | Mark Watney flying around like Iron man in space with a
               | hole is his space suit.
               | 
               | Still a great movie though. But a better book.
        
               | vagrantJin wrote:
               | The martian was a fun read and undoubtedly a classic. I
               | personally dont mind a well thought out antogonist who is
               | very human.
        
               | XorNot wrote:
               | Engineers with a lot of resources tend to be my favorite
               | villains. Anyone who genuinely, earnestly believes
               | they're going to solve a big problem and has just become
               | laser focused on that to the exclusion of all else:
               | that's a touchpoint I can relate to for a sympathetic
               | villain.
        
               | nkrisc wrote:
               | For that I just have to think back to every new-CTO lead
               | replatforming effort at any previous job. Ok, they
               | weren't evil, but the outcome was the same.
        
               | munificent wrote:
               | _> I don't want to watch movies or read books where
               | people are just awful to other people, I can open the
               | newspaper on any given day to find that._
               | 
               | I am 1000% with you on this. The success of The Sopranos,
               | Breaking Bad, and Game of Thrones are mystifying to me. I
               | get enough misery and awfulness from the news.
        
         | philipswood wrote:
         | Tau Zero by Poul Anderson also has a plot built around time
         | dilation.
        
       | jamesdmiller wrote:
       | Does the expansion of the universe reduce how much you have to
       | slow down if you wish to land on a very distant planet?
        
         | platz wrote:
         | no because expansion only happens on the largest scales
        
           | jamesdmiller wrote:
           | But if I travel for 45 years at 1-g doesn't the largest scale
           | of the universe become significant to my travels?
        
       | irrational wrote:
       | So, if you constantly accelerate for 45 years you will travel 18
       | billion light years to the edge of the observable universe. But,
       | if you continue for another 45 years you won't move beyond that
       | point? Or do you move beyond that point but don't reach anywhere,
       | it's all darkness? Or do you seem to stand still while the
       | observable universe behind you expands past you to where you can
       | no longer see it?
        
       | Koshkin wrote:
       | Sure, with the comfortable acceleration of _g_ during the first
       | half of the journey and decelerating during the rest of it, I
       | could arrive to, say, Andromeda galaxy in a few dozen years. The
       | biggest question, though, for me is: OK, I'm here, _now what_?
       | (Having a vivid imagination, as a child I once imagined myself
       | standing on the Moon's surface, looking at the distant Earth
       | shining just above the horizon and the eerie landscape below. The
       | first and the only thought I had at that moment was: "What the
       | hell am I doing here?")
        
         | praptak wrote:
         | Surely astronomers have a list of objects which are expected to
         | be interesting from a closer distance?
        
           | cmenge wrote:
           | I guess the point is: you can't really tell anyone about it,
           | because they have died tens of thousands of years ago. So
           | it's "bring your friends"?!
        
           | Koshkin wrote:
           | I doubt it; besides, astronomers love their telescopes!
        
         | scotty79 wrote:
         | > "What the hell am I doing here?"
         | 
         | I ask myself the same question whenever I leave my city.
         | 
         | I guess I'm not really a traveller person.
        
         | Torkel wrote:
         | The year is 1492. You're imagining standing on the shore of a
         | vast continent, unexplored by your people. The only
         | feeling/thought you have at that imagined moment is "What the
         | hell am I doing here?"
         | 
         | That is perfectly reasonable! But I hope you can appreciate
         | that the imagined feeling/thought is not shared by everyone.
        
           | stavros wrote:
           | That's not very comparable, because you could easily live a
           | very fulfilling life in a new continent (well, except
           | Australia, I guess?), but being on the surface of the moon
           | would be a constant struggle for survival.
        
             | rswail wrote:
             | You could live a very fulfilling life next to Sydney
             | Harbor, or Melbourne's Port Phillip Bay, or... well,
             | anywhere that people have lived in Australia for the past
             | 50,000+ years.
        
               | stavros wrote:
               | Yes, I realize there are people happily living in
               | Australia, that was the joke :(
        
             | Torkel wrote:
             | Explorers do not become explorers from a wish for "easily
             | living a very fulfilling life". There was nothing
             | guaranteed about the quality of life offered by the great
             | women and men who traveled the seas in ages past, and
             | indeed many of them perished.
        
             | jfrunyon wrote:
             | No, colonizing a new continent was not "easy". It, too, was
             | a constant struggle for survival. New pests, new climate,
             | new soil, new flora and fauna, communication (or battle)
             | with natives, etc.
        
               | stavros wrote:
               | At least it had air, though.
        
             | pavel_lishin wrote:
             | > _being on the surface of the moon would be a constant
             | struggle_
             | 
             | With today's technology, yes.
             | 
             | And as others pointed out, life on a new continent wasn't
             | all roses, either.
        
           | jasonwatkinspdx wrote:
           | These two situations are vastly different.
           | 
           | This is also a very eurocentric point of view that ignores
           | that people were already living in the Americas. What
           | happened in 1492 was not grand explorers finding undiscovered
           | country in the star trek sense. It was conquerers finding a
           | new land they were ignorant of rich with resources they could
           | take by force via superior military power.
        
       | sudhirj wrote:
       | The implications of time dilation when moving near c are also
       | explored in the Three Body Problem trilogy, and pushed to the
       | extreme as well. It's quite a mindfuck if you still have ties to
       | the place you're leaving, but interesting if you don't.
       | 
       | There's all the interesting idea of just accelerating forever,
       | till the end of the universe (which comes faster than you think
       | if you're going that fast).
        
         | simonh wrote:
         | We're really spoiled by modern rapid global travel. In the
         | 1930s half of my maternal grandmother's family emigrated to New
         | Zealand. I've only ever met two of those relatives once in the
         | 1990s, but before jet travel such contact was impractical for
         | most people. That's why whole family groups, or even
         | communities would move together.
        
       | edna314 wrote:
       | The time dilation aspect in space travel is the most neglected in
       | popular sci-fi. In many of these, there are intricate
       | installations of some sort cryogenic sleep devices because the
       | script authors assume that it takes you 150 years of travel at
       | light speed to get to a place that is 150 light years away.
        
         | jobigoud wrote:
         | > the script authors assume that it takes you 150 years of
         | travel at light speed to get to a place that is 150 light years
         | away
         | 
         | Or maybe they know you wouldn't travel at light speed in the
         | first place.
        
         | [deleted]
        
         | simonh wrote:
         | That's a very basic error, but I can't offhand remember coming
         | across a story where the author made this mistake. After all,
         | if the ship's top speed is even modestly below light speed the
         | journey really could take many decades. Can you give an
         | example?
        
           | edna314 wrote:
           | I wasn't referring to the author in the article, but rather
           | an unspecified collection of 'popular' SciFi, where this
           | aspect is not explained. It is true that, even if you reach
           | speeds of 0.5c you only get a ~15% time dilation.
        
             | TeMPOraL wrote:
             | Which is why most popular sci-fi franchises end up with
             | velocity caps, justified either in-universe or out-of-
             | universe. E.g. Star Trek sublight propulsion (impulse
             | engine) has been established indirectly and through "word
             | of God" to work with speeds up to ~1/3 c, which is not
             | enough for relativistic effects to cause a big impact. The
             | issue is conveniently omitted, because why travel fast
             | through "normal space" when you have easy access to warp
             | drive / jump drive / hyperdrive / wormholes, that gives you
             | FTL _and_ happens to drop you out into a convenient
             | reference frame? And all the interesting action happens
             | around planets anyway.
             | 
             | This omission makes it easy for the writers to introduce
             | relativity as a nerdy plot point. For example, StarGate:
             | Atlantis had an episode with a ship traveling absurdly
             | close to the speed of light, which was devised as a
             | convenient way to introduce characters that should've been
             | dead for many thousands of years.
        
         | CodeGlitch wrote:
         | Interstellar explores this idea really well. Also see Andy
         | Wiers' new book "Hail Mary", which I can thoroughly recommend.
         | In Hail Mary he doesn't use cryogenics but a different
         | mechanism.
        
           | nahuel0x wrote:
           | Interstellar merged relativity effects with emotional ones,
           | that's a brilliant literary stroke analogous to the ones from
           | the s.f. masters.
        
         | eesmith wrote:
         | ... what? It's been part of SF for decades.
         | 
         | The first three that come to mind are: Heinlein's "Time for the
         | Stars", Haldeman's "The Forever War", and Anderson's "Tau
         | Zero".
         | 
         | From those titles, a DDG search finds http://sf-
         | encyclopedia.com/entry/relativity listing more, also containing
         | the line "Very many sf stories use relativistic time dilation
         | for one-way Time Travel into the future."
        
           | akvadrako wrote:
           | There are very few sci-fi movies or books where relativity is
           | important and they treat it seriously. _Tau Zero_ is one, I
           | 'm not sure about _Time for the Stars_ , but _Forever War_
           | does have FTL.
           | 
           | I created a list of all these works I could find a few years
           | ago. Here is one link:
           | 
           | https://tvtropes.org/pmwiki/discussion.php?id=l6q90mvssgscsj.
           | ..
           | 
           | I think this is a complete list of the films and tv series:
           | - The Star Lost       - Pandorum       - Passengers (2016)
        
             | NateEag wrote:
             | Spider Robinson's "Variable Star" is not hard sci-fi, but
             | relativistic speeds and time dilation are relevant to the
             | plot.
        
             | eesmith wrote:
             | _Time for the Stars_ has FTL at the end. (Physical FTL,
             | that is. Telepathic FTL exists at the beginning.) But it 's
             | otherwise it's deliberately structured around the twin
             | paradox - the main character is even a twin.
             | 
             | Indeed, while I remembered the importance of time dialation
             | in _Forever War_ , I didn 't remember the FTL travel
             | between collapsars.
        
             | rsynnott wrote:
             | Virtually all of Larry Niven's novels that don't have FTL
             | touch on this. Also shows up in most of Alastair Reynolds'
             | novels, and in the Three Body Problem series.
        
               | akvadrako wrote:
               | I know of Niven's "The Legacy of Heorot", but it only
               | takes place on one planet.
               | 
               | Most of Alastair Reynold's novels have FTL - I only know
               | of one that counts, which is Pushing Ice.
               | 
               | The 3-body problem has FTL also.
        
               | grkvlt wrote:
               | alastair reynold's revelation space series certainly
               | doesn't have ftl, apart from maybe [jumper clowns spoiler
               | deleted]; the conjoiner drives use [science] to achieve
               | 1g acceleration to get to near light speed, and time
               | dilation is part of many of the plots.
        
               | rsynnott wrote:
               | > the conjoiner drives use [science] to achieve 1g
               | acceleration to get to near light speed
               | 
               | For [science] read [magic], more or less, but yeah. In
               | the very first stories they were Bussard ramjets, but
               | this got retconned out (and a Bussard ramjet actually
               | shows up in a later book as a failed experiment). In most
               | of the books they're more or less applied magic, though.
               | 
               | This, incidentally, seems to be a common theme, as later
               | discoveries tended to fall down on the side of Bussard
               | ramjets not working (due to insufficient density etc).
               | The last of Niven's Known Space books have some special
               | pleading for how the pilot has to carefully direct the
               | ramjet to get sufficient combustion volume, a detail that
               | was never present in the old ones.
        
               | eesmith wrote:
               | Niven's "A World Out of Time" is sublight, with time-
               | dilation.
        
               | rsynnott wrote:
               | > I know of Niven's "The Legacy of Heorot", but it only
               | takes place on one planet.
               | 
               | The chronologically earlier novels in his Known Space
               | universe (the Ringworld one) are mostly around near-c
               | Bussard ramjets.
               | 
               | > Most of Alastair Reynold's novels have FTL
               | 
               | Hmm, wait, which ones? Only one I can think of is House
               | of Suns, in a very restricted manner.
               | 
               | > The 3-body problem has FTL also.
               | 
               | It has FTL communications, but not travel.
        
               | akvadrako wrote:
               | FTL communications is not less problematic than travel.
        
           | edna314 wrote:
           | I'm sure it has been, but I'm mainly talking about popular
           | sci-fi movies. I'm sure you have at least one in mind where
           | they have these 'sleep' devices.
        
             | simonh wrote:
             | Having sleep pods and such isn't silly if the travel time
             | really is many years.
        
               | philipswood wrote:
               | Sleep pods are also not silly if you assume your speeds
               | aren't going to be a significant fraction of the speed of
               | light.
        
               | edna314 wrote:
               | I mean yes, but there is a rather specific window where
               | they make sense: at ~1-80% of c. Lower speeds it doesn't
               | make sense to engage in interstellar travel at all,
               | because even travelling 100s of years won't get you
               | anywhere. At higher speeds it doesn't make sense because
               | of time dilation.
        
               | rsynnott wrote:
               | But that's a... pretty important window. There are not-
               | completely-bonkers hypothetical spacecraft designs that
               | could get to, say, 0.2c. There's nothing particularly
               | plausible that could get to 0.99c.
        
             | eesmith wrote:
             | I'm not much into visual media, so I can only come up with
             | a few examples of 'sleep' devices:
             | 
             | Star Trek's "Space Seed" - 200 years in sublight stasis, no
             | mention of speed or distance. Could be 0.5c for all we
             | know. 100 ly at Enterprise's warp 6 cruising speed would
             | take about 4 months, which seems not unreasonable.
             | 
             | The movie "Alien" - stasis, but seemingly with FTL given
             | the times and distances involved.
             | (https://avp.fandom.com/wiki/LV-223 says it was a 2 year
             | voyage to the moon LV-223 in Prometheus.)
             | 
             | The TV series "Red Dwarf" - sublight, though it did break
             | the light barrier once. Science in general is only relevant
             | for comedic effect. https://www.ganymede.tv/2004/04/the-
             | science-of-red-dwarf/ .
             | 
             | None of these seem to be characterized as "it takes you 150
             | years of travel at light speed to get to a place that is
             | 150 light years away".
             | 
             | Which one am I missing?
        
               | edna314 wrote:
               | What came to my mind immediately was 'Passengers'. But,
               | reading up the plot on Wikipedia, it is possible that it
               | never actually was mentioned how far away the destination
               | was or how fast they were going. So, maybe it wasn't a
               | misconception on the sci-fi side, but on my side. For
               | sure, any light speed travel shouldn't take any time and
               | infinite amount of time should pass for the rest of the
               | universe.
        
               | eesmith wrote:
               | From Wikipedia, 60 light years and "a journey lasting 120
               | years".
               | 
               | It doesn't say if that's 120 ship years or Earth years.
               | I'll assume ship years as that makes the most sense in
               | context.
               | 
               | Assuming constant acceleration to the 1/2-way point,
               | flip, deceleration, and using http://www.projectrho.com/p
               | ublic_html/rocket/slowerlight3.ph... :                 T
               | = (c/a) * ArcCosh[a*d/(c^2) + 1] (given acceleration and
               | distance)            60 years = (c / a) * arccos(a * 30
               | ly / (c^2) + 1)       1893456000.0 = (3E8/a) * arccos(a *
               | 3.15576 + 1)
               | 
               | Using Wolfram Alpha to solve - https://www.wolframalpha.c
               | om/input/?i=1893456000.0+%3D+%283E...                 a =
               | 0.14748 m/s^2 or about 1.5% g
               | 
               | Time elapsed on Earth is only a bit longer than ship
               | time:                 t = (c/a) * Sinh[a*T/c] = 1.15 *
               | ship time ("proper time")
               | 
               | Final velocity at flip is:                 v = c *
               | Tanh[a*T/c] = 0.73 * speed of light
        
       | dctoedt wrote:
       | One of Heinlein's juvenile novels ( _Have Spacesuit, Will
       | Travel_?) describes TFA 's concept of accelerating at 1g until
       | the halfway mark, then doing a "skew flip maneuver" (I think that
       | was the phrase Heinlein used) to decelerate at 1g. [0]
       | 
       | [0] https://en-academic.com/dic.nsf/enwiki/2241027
        
       | hutzlibu wrote:
       | Slightly related:
       | 
       | I just discovered Andymon.
       | 
       | A 1982 sci-fi novel, where a interstellar spaceship reaches the
       | destination star, after travelling a very long, but unknown time
       | (part of the plot).
       | 
       | I do not want to spoiler too much, but it was written by a
       | academic physics/philosopher and his wife a mathematician. Deep
       | shit. Should be standard read in schools.
        
         | drittich wrote:
         | Do you know if there's an English translation?
        
           | hutzlibu wrote:
           | I assumed there is, but also could not find one right now.
           | Would be a shame, if there isn't.
        
         | vagrantJin wrote:
         | You over-estimate teenagers. But worst of all, you over-
         | estimate the department of education.
        
           | andrewflnr wrote:
           | Teenagers are idiots in many ways, but also hunger for real,
           | deep ideas. Maybe if they weren't so consistently
           | underestimated they would take things more seriously.
        
             | vagrantJin wrote:
             | I apologize, ofcourse they have a hunger for real,
             | meaningful and deep ideas but, they are still pretty dumb.
             | Not dumb as in lacking intellectual ability but dumb as in
             | willingly stupid. Thats the key. No shade but pop culture
             | is basically a "teen spirit" transformed into profit by BS
             | Inc.
             | 
             | And ofcourse the small issue of sex being 80% of what's on
             | their mind. Perfectly natural and healthy.
        
           | hutzlibu wrote:
           | I am not a fan of mandatory books, but I know I would have
           | loved to read and talk about this book in school. It covers
           | everything scientific, as well as philosophical existential
           | questions.
        
       | air7 wrote:
       | > "In fact, so long as you kept adhering to this plan, you could
       | choose any destination at all that's presently within 18 billion
       | light-years of us, and reach it after merely 45 years, max, had
       | passed. That ~18 billion light-year figure is the limit of the
       | reachable Universe, set by the expansion of the Universe and the
       | effects of dark energy. Everything beyond that point is currently
       | unreachable with our present understanding of physics"
       | 
       | What happens if I just keep going?
        
         | DarkWiiPlayer wrote:
         | The way I understand it is that it's not impossible to cover
         | the distance, but that by the time you do, the distance between
         | your starting point and your destination will have (at least)
         | doubled due to the expansion of space.
         | 
         | So you're still as far away from your destination as in the
         | beginning (or even further), but now you're the same distance
         | from your starting position as well and are effectively
         | stranded.
        
         | perihelions wrote:
         | Well, an accelerating mass emits gravitational waves; and your
         | spaceship is asymptotically infinite-mass; so at some point you
         | destroy the universe. (Or at least the parts that are causally
         | connected to you -- I guess cosmic expansion would save parts
         | of it?)
         | 
         | I don't know whether you observe this or not.
        
         | Gunax wrote:
         | There is a misconception that expanding space prevents us from
         | ever reaching a destination. It's counter-intuitive
         | (https://en.wikipedia.org/wiki/Ant_on_a_rubber_rope) but falls
         | out of the math. If space expands at a constant rate, you could
         | eventually reach _any_ destination at _any_ velocity.
         | 
         | But if the expansion of space is accelerating (which we believe
         | currently), this is not true. There really would be
         | destinations that are unreachable.
         | 
         | You would continue to travel further from your origin, but also
         | witness your destination accelerate away.
        
           | secondcoming wrote:
           | Can scientists count the number of far distant stars that are
           | no longer visible due to space accelerating?
        
           | stavros wrote:
           | But what if you accelerate faster than it does?
        
             | Armisael16 wrote:
             | Your top speed is bounded by the speed of light. The thing
             | you're trying to reach is not, since that acceleration is
             | mostly actually space expanding between you and it. It's
             | going faster that you can ever go, and as the distance
             | between you and it increases it accelerates even more.
        
             | saiya-jin wrote:
             | You can't go faster than light. Space in universe is
             | expanding faster than light.
        
             | cygx wrote:
             | No matter how fast you accelerate, you'll chew up distances
             | at a local(!) rate of less than c, so it's enough to
             | consider the limiting case of light and skip the
             | complications introduced by acceleration. The analogous
             | classical problem is the "ant on a rubber rope". If the
             | endpoint of the rope moves at a constant speed, the ant
             | will be able to reach it, no matter the rope's length. If
             | the endpoint accelerates, the ant might not, and only be
             | able to asymptotically approach some point somewhere on the
             | rope.
        
               | stavros wrote:
               | Hmm, but if we treat the end of the rope as an object
               | which accelerates at x m/s^2, and I accelerate at 2x
               | m/s^2, wouldn't I eventually reach that object? I don't
               | know what I'm not getting...
        
               | JZumun wrote:
               | You can never go faster than c, so you can never reach
               | anything that's being moved faster away.
        
               | cygx wrote:
               | > and I accelerate at 2x m/s^2
               | 
               | A constant lab frame acceleration is incompatible with
               | special relativity.
        
             | Thiez wrote:
             | Let's say the universe is turn-based, and consists of a
             | single dimension. At the end of each turn the distance
             | between two points in this universe doubles (because new
             | empty space is created between them). Let the maximum speed
             | in this universe be 300.000.000 distance-units per turn.
             | When two points are, say, 5 units apart, we can easily
             | travel between them (for a couple of turns, at least). But
             | when two points are more than 600.000.000 distance-units
             | apart, we can never again travel between them. Let's try.
             | 
             | We're at turn 0, at point A. Point B is 600.000.000
             | distance-units apart. We have infinite! acceleration and
             | accelerate to 300.000.000 units/turn, and start our travel
             | to point B. We move 300.000.000 units. Distances double.
             | We're at turn 1. Point A is now 600.000.000 units behind
             | us, and point B is still 600.000.000 units ahead of us. We
             | travel 300.000.000 units! Distances double. We're at turn
             | 2. Point A is now 1.800.000.000 units behind us, and point
             | B is still 600.000.000 ahead of us. We're starting to
             | wonder if we should have stayed at point A... hopefully
             | there is a point C that was between point A and point B
             | that we can still get to, because we don't seem to be
             | making much progress.
             | 
             | The universe is a bit like that, except that it looks more
             | continuous, it has some more dimensions, and it's not
             | doubling quite so quickly.
        
               | toss1 wrote:
               | So, Zeno finally gets his paradox to work!
        
               | stavros wrote:
               | Hmm, I see, thank you. So it's _space itself_ that
               | expands, not just the objects in it that accelerate apart
               | from one another. But then doesn 't that mean that some
               | of that space is expanding _inside_ the objects? Do we
               | know what happens there? How do objects just get more
               | space inside them?
        
               | cygx wrote:
               | Thinking of spacetime as some sort of expanding fabric
               | permeating every-day objects is not a good analogy in my
               | opinion.
               | 
               | First, like any other gravitational effect, locally,
               | spatial expansion would manifest as pseudo-forces that
               | can be counter-acted by all the other forces that are far
               | more relevant at human scale.
               | 
               | Second, the local effect of spatial expansion should be
               | an indirect one: Friedmann cosmology - which is how we
               | describe an isotropic, expanding universe - is a large-
               | scale approximation. More realistic would be 'swiss-
               | cheese' models, where spacetime in our neighbourhood can
               | look vastly different from the Friedmann one, except that
               | the spacetime patches need to properly fit together to
               | yield the correct large-scale behaviour.
        
               | stavros wrote:
               | Ah I see, so this all happens at a quantum level that
               | doesn't translate well to our intuition? That makes a
               | certain amount of sense, thank you.
        
               | cygx wrote:
               | This is still relativity, not quantum mechanics.
               | 
               | Point is, illustrative models and analogies are limited.
               | Ideas like 'space itself expanding' or 'space flowing
               | like a river and falling into a black hole like a
               | waterfall' might help visualize some things, but can also
               | lead to wrong ideas if taken too seriously.
        
               | stavros wrote:
               | > This is still relativity, not quantum mechanics.
               | 
               | Oh hmm, I see.
               | 
               | > but can also lead to wrong ideas if taken too
               | seriously.
               | 
               | Yeah, and it's hard to know how far to take the analogy
               | unless you're already familiar with the concept it's
               | trying to describe, unfortunately.
        
               | JZumun wrote:
               | (Assuming space expands evenly) we don't notice the
               | expansion of space inside objects because the
               | electromagnetism and gravity are vastly more powerful on
               | the scales we care about and nullifies the effect. That's
               | why atoms and galaxies in the Local Group stay together,
               | but everything farther away is flying further away.
               | 
               | If expansion never stops accelerating, one day in the far
               | future it will overcome all the other fundamental forces
               | and everything will be torn apart in a Big Rip.
        
               | grkvlt wrote:
               | wait - does this mean that some super capable
               | civilisation could link the various galaxies in their
               | inter-galactic empire with a space-railway (i.e. using
               | actual physical tracks between them in space) assuming
               | they have the staggeringly vast amount of matter and/or
               | energy needed, then this would gravitationally bind them
               | together and space between them could not expand?
        
               | lalaithion wrote:
               | No, "gravitationally binding" is not a thing that you can
               | do by connecting things via railways. Over the long
               | distances, the railways would be torn apart by expansion.
               | 
               | If you could drastically increase the mass of the local
               | group, then you could increase the range at which
               | gravitational attraction to it was dominating, but it
               | would require seriously increasing the mass of the local
               | group.
        
         | hoseja wrote:
         | Notice the "presently".
        
         | Lariscus wrote:
         | You would never reach your destination and at some point you
         | would be stranded in dark space. This kurzgesagt video has some
         | info on this topic.[1]
         | 
         | [1] <https://www.youtube.com/watch?v=uzkD5SeuwzM>
        
           | stouset wrote:
           | I don't quite understand this. I think I'd maybe understand
           | if space dilated to the point where you couldn't quite hit
           | that edge. Though now that I say it that "solution" seems to
           | come with a whole bunch of problematic consequences.
           | 
           | But "not getting to anything past the furthest thing we can
           | see from earth today" seems fundamentally incompatible with
           | the idea of reaching those farthest points in a reasonably
           | bounded timeframe. There _is_ stuff beyond the limits we can
           | see, it's just further than light has had a chance to travel
           | so far (and may ever travel).
           | 
           | My intuition is that as you approached those far objects,
           | you'd observe them rapidly evolving forward in time until
           | they reached their "present day" situation, able to see
           | billions in light years in all directions with Earth right at
           | the edge.
           | 
           | But then what happens when you look at Earth? Surely you
           | don't see it's billions of years old past. You'd have to see
           | it at least as old as it was when you left. But something
           | doesn't seem quite right about that to me. Surely I'm missing
           | something.
        
             | est31 wrote:
             | Space is expanding. Which means stuff is getting further
             | away from each other.
             | https://en.wikipedia.org/wiki/Expansion_of_the_universe
             | 
             | If you go far enough, stuff moves fast enough away from us
             | than the speed of light. Thus, some places can't be reached
             | from someone starting at our present location, ever, even
             | though we might still see their light. That light is closer
             | to us than the object that sent it out.
        
               | edf13 wrote:
               | Can you (Or stuff) go faster than the speed of light?
        
               | simiones wrote:
               | No, the "speed of light", c, is actually the speed of
               | energy and matter. Everything is always moving at this
               | speed in 4-dimensional space-time. If you are not moving
               | in space, you are moving through "time" at this speed.
               | Since this is just the speed things move at, it makes no
               | sense to discuss moving faster or slower than this speed.
        
               | ccozan wrote:
               | Correct explanation!
        
               | eru wrote:
               | Well, if you take a really strong laser pointer and point
               | it at the moon, than a flick of the wrist can make that
               | point race faster along the moon's surface than the speed
               | of light.
        
               | MaxikCZ wrote:
               | But its not really a point thats traveling faster than
               | speed of light. The individual photons that makes the
               | point travel always at the speed of light from your laser
               | pointer to the moon. Its not point on the moon thats
               | traveling, the travel is just ilusion because it looks
               | like the point that was there a split second ago.
        
               | eru wrote:
               | Well, the 'point' is traveling faster than the speed of
               | light.
               | 
               | You are quite right that no matter nor energy nor
               | information is traveling faster than light here.
        
               | MaxikCZ wrote:
               | I am not sure how to define the point, but my way of
               | thinking is that its not the same point. The point never
               | moves, instead it continuously vanishes and a new point
               | is being continuously made next to it.
               | 
               | That way, there really isnt a point that is traveling or
               | moving, its just our perception mistaking it for a point
               | because it looks and move like one.
        
               | jasonwatkinspdx wrote:
               | Yeah, exactly this. If you think of it like waving a
               | garden hose back and forth it's very clear why this is
               | flawed logic. Also because of quantization the further
               | away you put the target surface, to try to raise the
               | "speed" of the not actually existing point, the more
               | discontinuous it becomes.
        
               | gilbetron wrote:
               | If I installed a really bright light source on two
               | opposite ends of the observable universe and timed
               | everything correctly, I could make it seems like the
               | point traveled across the universe in a fraction of a
               | second. Same idea, same flawed logic. Nothing actually
               | moved.
        
               | cygx wrote:
               | Nothing can outpace photons (in vacuum, that is - in a
               | medium, cf Cherenkov radiation). However, velocity is a
               | surprisingly tricky concept. While the relative velocity
               | of two objects passing each other by is well-defined,
               | velocity at a distance tends to require a clock
               | synchronization convention, which is to some degree
               | arbitrary. In consequence, in special relativity, the
               | speed of light is only isotropic by convention (cf
               | various discussions about the one-way speed of light,
               | which became a topic of online conversations due to
               | Veritasium posting a video about it), and in general
               | relativity, recession velocities (ie change in proper
               | distance at constant cosmological time) of far away, but
               | still observable galaxy can in fact formally be greater
               | than c.
        
               | marcyb5st wrote:
               | Not with our current understand of physics. Even reaching
               | the speed of light takes infinite amount of energy for
               | things with mass. This is because the faster you go the
               | more massive you become. Furthermore, even before
               | reaching the speed of light you will become a black hole
               | as more energy is added.
               | 
               | Things without mass, instead, can only travel at the
               | speed of light (photons for instance).
               | 
               | Finally, there is a quirk in the math that would allow
               | for the appearance of faster than light travel. If you
               | compress the spacetime in front of you and expand it
               | behind you you could can move faster than light without
               | turning into a black hole or needing infinite energy
               | (Google Alcubierre drive for more information). It is
               | only an appearance than faster than light travel because
               | you would still move at sub-luminal speed in your bubble
               | of "normal" space time, but the compression/expansion
               | effect would drag you through space-time at faster than
               | light speed. This, however, require so called "exotic
               | matter", ie matter with negative energy density (this is
               | not anti-matter, but matter that has a repulsive
               | gravitational field) and it is probably only a quirk of
               | the math and nothing more.
        
               | ajconway wrote:
               | So, when you reach the "edge" you were going for, you
               | arrive at the point when everything has already moved
               | past your horizon (including Earth), there isn't a single
               | hydrogen atom around, so you're stuck in the darkness
               | forever?
        
               | est31 wrote:
               | Yeah from current understanding that's your fate.
               | Everyone's fate actually, if you see gravitationally
               | bound structures as one unit. You'd be alone waiting for
               | the heat death. Therefore, I recommend decelerating to
               | somewhere interesting during the time window which allows
               | intergalactic travel.
        
               | stouset wrote:
               | Ah, I think I understand! Something 18bnly away from us
               | today has a light bubble that includes objects outside
               | our light cone.
               | 
               | If you can get there in 45y, that doesn't mean 45y has
               | passed at that location. In fact if it's 18bnly away,
               | that means you'd arrive in 18bn years from their
               | perspective. And not 18bn years from what you saw when
               | you left, but 18bn years from when _they_ saw you leave.
               | By that time, space will have expanded enough that it's
               | no longer possible to see past.
        
               | drran wrote:
               | Expansion of the (visible) Universe is hypothesis, not a
               | fact. Nobody pointed to an incredibly powerful energy
               | source required to expand the whole visible Universe. A
               | non-zero curvature of space is not confirmed also.
               | 
               | We are able to see gravitational waves at this point.
               | Where is a gravitational turbulence, created by the
               | massive expansion?
               | 
               | (Non-native speaker, but you got the idea).
        
         | gambiting wrote:
         | As far as I understand - you'll come back to where you started.
        
           | simonh wrote:
           | I'm afraid not, the accelerating expansion of the universe
           | will stretch out space ahead of you faster than you can
           | traverse it. From your perspective the galaxies will become
           | sparser and sparser over time until you're in an ever colder
           | eternal black void.
        
             | daxfohl wrote:
             | So you witness the heat death of the universe at ~50 years.
             | Yet you and your spaceship are still intact then, and at
             | times exponentially beyond it. Weird.
             | 
             | Though perhaps the amount of energy it would take to
             | accelerate that much exceeds the available energy in the
             | universe? So maybe that's what balances it.
        
       | jcims wrote:
       | The 'specific impulse' of a rocket engine is one measure of its
       | ability to convert the energy in its fuel into forward thrust.
       | Its unit is 'seconds', and its measure could be interpreted as
       | 'how long could one pound of fuel produce one pound of thrust'.
       | 
       | If your rocket starts off 2/3rds fuel by mass, this will result
       | in an average acceleration of 1g as the mass of the fuel is
       | consumed.
       | 
       | The most efficient chemical rockets we have today have a specific
       | impulse in the ~470 second range. The highest specific impulse
       | thrusters of any sort that we have in wide use today are 'ion
       | thrusters', which have specific impulses in the 50,000 second
       | range (but can't generate much thrust at all).
       | 
       | So 10-12 hours at 1g is about as much as we can do with existing
       | hardware.
        
         | Gravityloss wrote:
         | One very common misconception that higher specific impulse
         | (ISP) is always good. Electric propulsion is different from
         | chemical.
         | 
         | In chemical propulsion, you have the energy in the propellants.
         | There higher ISP is better.
         | 
         | In electric propulsion, you use an external power source.
         | Usually your propellant or reaction mass is inert, like Xenon.
         | There, if you up the specific impulse but keep acceleration and
         | delta vee the same, your power source mass increases. At some
         | point your power source mass is a lot bigger than your
         | propellant mass. Hence, your total mass for the same misaion
         | would be less with lower specific impulse.
         | 
         | So in electric propulsion there can be too high ISP for a given
         | mission and power source technology.
        
           | sdenton4 wrote:
           | I've heard this before, but it seems to me that the 'problem'
           | isn't the too-high ISP, but rather the heavy power source.
           | For rockets, we've got the rocket equation which gives the
           | exact fuel trade-off (carrying more takes you further, but
           | also means carrying more weight). Is there a similar 'hard'
           | relationship between ISP and power supply mass for electric
           | drive systems?
        
             | zamadatix wrote:
             | It would still just be the rocket equation no? The power
             | supply mass that isn't ejected as energy in propulsion
             | would just be counted as part of the rocket's dry mass (mf
             | in the rocket equation).
        
             | Gravityloss wrote:
             | Yes. Thrust is related to momentum while power to energy.
             | So if you double the exhaust velocity, you double the
             | thrust but quadruple the power needed.                   P
             | = 0.5 * mdot * v_ex^2         T = mdot * v_ex
             | 
             | A normal ion thruster might have ISP 4000 or 40 km/s
             | exhaust velocity.
             | 
             | From the rocket equation, if our mission requires 10 km/s
             | delta vee, mass ratio is exp(10/40)=1.28. So out of every
             | 1280 kg, 280 kg is propellant.
             | 
             | If we have mass flow of 0.1 gram per second, thrust is
             | 40000 m/s * 0.0001 kg/s = 4 N and power is 80 kW.
             | Acceleration is about 0.27 km/s per day. Not so good for
             | humans through Van Allen belts. But fine for deep space
             | propulsion.
             | 
             | 80 kW of solar cells with 200 W/kg weight efficiency would
             | weigh 400 kg. This is ISS level power.
             | 
             | So the spacecraft might have 280 kg of propellant, 400 kg
             | of solar arrays, 600 kg of useful things.
        
               | sdenton4 wrote:
               | Yeah, so my question comes down to 'how much can we play
               | around with weight efficiency?' For example, maybe I can
               | drop a lot of solar cells in exchange for a small battery
               | or capacitor capable of providing the needed power for
               | the higher exhaust velocity, but in bursts. Then we
               | change the firing pattern from a continuous burn to
               | alternating between burning and recharging the batteries,
               | and save a lot of solar panel weight.
               | 
               | [on edit: the weight efficiency of the solar panels will
               | also depend on where you are in the solar system...]
        
         | andyxor wrote:
         | nuclear pulse propulsion such as in the 1950s project Orion
         | designs was estimated to be around 6000sec (theoretically up to
         | 100k sec)
         | https://en.wikipedia.org/wiki/Nuclear_pulse_propulsion
        
         | blkhawk wrote:
         | Hours? You mean Minutes.
        
           | ben_w wrote:
           | 50,000 seconds would be 13.89 hours, though I'll grant you
           | "with existing technology" would preclude getting enough
           | electrical power into an ion drive for that to do one whole
           | gee.
        
             | jcims wrote:
             | Yeah 100kW for 5N ramps to ~15-20MW for each person lol
        
           | whimsicalism wrote:
           | Where are you getting that from?
        
         | euroderf wrote:
         | > So 10-12 hours at 1g is about as much as we can do with
         | existing hardware.
         | 
         | So 9.8m/s2 times 36ks yields about 360km/s. Not bad. Altho only
         | a thousandth of the speed of light :-(
        
         | Taek wrote:
         | I've always pretended to myself that I understand what impulse
         | means but today you've helped me actually understand it. Thank
         | you!
        
           | fouronnes3 wrote:
           | GP is a nice reverse engineered explanation, but the actual
           | origin of using seconds as a unit is to avoid having to
           | compare metric and imperial units of speed. Isp is just exit
           | velocity divided by g and it's conveniently in seconds, a
           | pretty universal unit. And "one pound of thrust" only makes
           | sense when you're in Earth's gravity field with gravity
           | losses. Otherwise it's more precise to use Newtons for
           | thrust.
        
             | kbenson wrote:
             | > conveniently in seconds, a pretty universal unit.
             | 
             | Thankfully! Imagine if systems/cultures commonly differed
             | in fundamental measures of time, just as they sometimes do
             | for volume, distance, weight, etc.
        
             | jcims wrote:
             | I use it because even after being an Estes nerd as a kid it
             | was the first explanation that actually made sense to me.
        
           | [deleted]
        
           | HPsquared wrote:
           | For this kind of thing it's helpful to think about the
           | dimensions and units involved.
           | 
           | In mechanics, "impulse" is a word for a unit of momentum.
           | Momentum has dimensions (Mass * Speed), or (force * time),
           | and can be stated in units of Newton-seconds.
           | 
           | "Specific" impulse is simply Impulse per unit mass of fuel
           | (i.e. Newton-seconds per kilogram). The convention of stating
           | it in units of seconds is based on Earth gravity (Newtons per
           | kilogram).
           | 
           | If a system has specific impulse of 100 seconds, 1 kilogram
           | of fuel would be able to accelerate a mass of 1kg at an
           | acceleration of 1 G, for 100 seconds.
        
             | Someone wrote:
             | Nitpick: I think that should be _1 g_
             | (https://en.wikipedia.org/wiki/Gravity_of_Earth), not _1 G_
             | (https://en.wikipedia.org/wiki/Gravitational_constant)
        
               | [deleted]
        
             | jcims wrote:
             | If I'm thinking about this correctly, the potential energy
             | in the fuel isn't changing the net kinetic energy of the
             | total mass, it's just re-distributing it between the
             | vehicle and the exhaust.
        
               | HPsquared wrote:
               | Total momentum is conserved, but distributed: the
               | individual momentum of the vehicle and the exhaust jet
               | will be of equal magnitude and opposite direction
               | (assuming a straight line), so if the rocket started in
               | free space at rest (zero momentum), after it's run for a
               | while the exhaust jet and vehicle will have equal and
               | opposite momentum vectors.
               | 
               | Energy is a different thing, but related to specific
               | impulse. In a perfectly efficient system (not what really
               | happens), the decrease in stored energy within the fuel
               | tanks would be equal to the increase in _total_ kinetic
               | energy (i.e. the sum of vehicle and exhaust kinetic
               | energy).
        
               | jcims wrote:
               | Thank you, momentum is definitely the term I should have
               | used.
        
       | wombatmobile wrote:
       | American singer Elvis Presley explored this theme in 1968.
       | 
       | https://youtube.com/watch?v=7Skrq8unUlE
        
       | philiplu wrote:
       | For a hard science fictional version of this, check out Poul
       | Anderson's "Tau Zero", from 1970, according to Wikipedia. I read
       | it a few years after that, and it's stuck with me since. A ship
       | with a Bussard ramjet runs into troubles and has to keep
       | accelerating, into the far future.
        
       | tomxor wrote:
       | And all at 1g... I wonder what forces the human body is capable
       | of adapting to over a long period.
       | 
       | What happens if say we double the thrust, presumably halving the
       | timescales and doubling the experienced "gravity"... would a
       | human body be able to adapt and get stronger? or would we
       | experience adverse side effects? (not necessarily mutually
       | exclusive). It could even be a way to acclimatise to a different
       | planet's mass before arriving.
       | 
       | [EDIT]
       | 
       | Looks like 2g is reasonable. The limit is higher but it sounds a
       | bit ridiculous, astronauts would all have to compete in the
       | strongman competitions for 4g. Any higher and we wouldn't be able
       | to walk without breaking our bones.
       | 
       | https://www.discovermagazine.com/the-sciences/whats-the-maxi...
        
         | P4u1 wrote:
         | Thanks, I was wondering the exact same thing!
        
         | rtkwe wrote:
         | That number would probably also change over time especially as
         | people grew up in that gravity, putting more stress on their
         | bones which should cause them to grow thicker (see ancient
         | skeletons of longbowmen for a small example and imagine that
         | the extra forces are there all the time).
        
       | api wrote:
       | The theoretical limit is "to the edge of the Hubble horizon, as
       | long as you don't mind it being a one way trip."
       | 
       | As you approach 'c' time dilation shrinks time for you. Keep
       | accelerating and eventually a million years outside your
       | reference frame is mere days or hours inside the spacecraft. You
       | could travel to the Andromeda galaxy or beyond as long as you
       | were okay never returning to Earth or returning to a different
       | geological epoch than the one you left. Go far enough and the sun
       | might be in its red giant phase when you get back. You may have
       | aged a few years or decades.
       | 
       | This of course requires stupid amounts of energy and theoretical
       | near maximum specific impulse, what I once heard called a
       | "physicists' nightmare propulsion system." Something like a
       | "photon rocket" or a relativistic velocity ion drive (propellant
       | exit velocity near 'c') plus a very efficient fusion or
       | antimatter reactor might be able to get you there. It was called
       | a physicists' nightmare because if containment fails you become a
       | flash of gamma rays in less than a nanosecond.
       | 
       | One of my favorite wild speculations is that hypervelocity
       | massive particles like the "OMG particle" are the jet wash from
       | someone's engine.
        
       | littlestymaar wrote:
       | Alastair Reynolds' novel _Pushing Ice_ (2006)[1] covers exactly
       | this topic: a bunch of humans are trapped on an alien spaceship
       | accelerating indefinitely, and all the involved relativistic
       | effects are covered in the book. While it 's not Reynolds best
       | book, it's definitely worth reading just for the clarity and
       | accuracy of the description of the relativistic effects (Reynolds
       | is a former ESA astrophysicist).
       | 
       | [1]: https://www.goodreads.com/book/show/89186.Pushing_Ice
        
         | milansm wrote:
         | Which book would you consider his best? I've only read House of
         | Suns, and it was great.
        
           | gilbetron wrote:
           | Definitely the Revelation Space series is awesome. For
           | something a bit different, Revenger was really cool - it has
           | two sequels now that are on my queue to read so I can't speak
           | to them.
        
             | aaronblohowiak wrote:
             | They are great!
        
           | JamesBrooks wrote:
           | House of Suns left me sad that it was a standalone novel, I
           | was itching for more!
        
             | lreeves wrote:
             | There is another novella in the universe called Thousandth
             | Night! I thought it was excellent.
        
               | andrewflnr wrote:
               | It's a slightly different universe, really, feels like an
               | earlier revision. Not timeline-compatible either, with
               | what happens to certain characters...
        
           | robotomir wrote:
           | I think Chasm City is his best book, but it requires context
           | from other Revelation Space novels to be enjoyed fully.
        
             | gpderetta wrote:
             | Agree on Chasm City. The rest of RS has a lot of good and
             | bad. I think the Prefect is his worst.
             | 
             | Outside of RS, I also liked House of Sun a lot.
        
               | CobaltFire wrote:
               | That's an interesting take, as I rather enjoy The Prefect
               | and rate Chasm City as one of his more "eh" books.
               | 
               | I guess I'm weird.
        
             | andrewflnr wrote:
             | Interesting, I thought it would have been as good an intro
             | as RS itself to the universe. It certainly puts Ana Khouri
             | in perspective.
        
           | KineticLensman wrote:
           | I liked Century Rain for the well-done mix of Casablanca-
           | style film detective noir finding himself in hard SF story
        
           | littlestymaar wrote:
           | Not an individual book, but the entire _Revelation Space_
           | series is one of my favorite SF piece ever.
        
             | soylentcola wrote:
             | Also one of mine. This thread got me looking it back up and
             | it appears there's a 4th novel coming out later this year
             | (I didn't know about this, so perhaps you'll be equally
             | glad to learn of it!)
        
         | hinkley wrote:
         | There's a short story in the Expanse Universe where Solomon
         | Epstein is killed by his experimental propulsion system when it
         | accelerates so fast that he can't reach the controls to turn it
         | off and then blacks out.
         | 
         | The drive is named posthumously after him based on the design
         | notes found on his computer by his widow.
        
           | austincheney wrote:
           | I remember watching that episode. Such a great series.
           | 
           | I think this is a slightly different phenomenon though. The
           | problem with Epstein is rapid acceleration resulting in an
           | increased gravitational force relative to the speed of
           | acceleration well beyond 1g and continuing to accelerate
           | faster until fuel is exhausted.
           | 
           | The scenario in the article is about indefinite acceleration.
           | Indefinite acceleration doesn't have to be fast to eventually
           | reach near light speed provided enough time.
        
             | hinkley wrote:
             | In the story his miscalculation results in 37 hours of
             | fuel. With no dead man's switch he dies from lack of oxygen
             | to the brain, and the ship just keeps happily accelerating
             | until the fuel is exhausted.
             | 
             | For a long enough trip, anything over 1G results in your
             | passengers and payload having to deal with excess stresses,
             | up to and including ship damage or passenger death. In the
             | Expanse they are quick to point out the increased chance of
             | stroke due to prolonged and excessive acceleration.
             | 
             | 1G is nice because you can move like you would on the
             | surface.
        
               | kbelder wrote:
               | 5g acceleration for 37 hours will get you up to 1% of the
               | speed of light. Constant acceleration with no fuel limits
               | gets you into the realm of relativity very quickly.
        
         | snowwrestler wrote:
         | In _The Forever War_ by Joe Haldeman, soldiers are sent out on
         | relativistic journeys to fight a war with aliens. Each time
         | they come back, Earth culture has changed, and eventually it
         | becomes unrecognizable to the soldiers, and Earthlings forget
         | or stop caring about the war.
         | 
         | It was an allegory for the U.S. involvement in the war in
         | Vietnam, in which Haldeman fought.
        
           | scotty79 wrote:
           | There's a pretty cool comic book based on Forever War
        
           | dharmab wrote:
           | [spoilers]
           | 
           | The main character is spacially and temporally separated from
           | his love interest/comrade during the war. At the end, he
           | receives a letter saying she's been in cryo sleep aboard a
           | ship experiencing time dilation to wait for his return.
        
           | KineticLensman wrote:
           | > ... and Earthlings forget or stop caring about the war.
           | 
           | [spoilers]
           | 
           | Not quite. Humans develop (via cloning and other tech) to the
           | point where they can finally communicate with the hive-mind
           | aliens, and realise that the whole 1000-year war has
           | essentially been a mistake from the outset.
           | 
           | > It was an allegory for the U.S. involvement in the war in
           | Vietnam
           | 
           | Yes. The obvious allegory is that to the very few baseline
           | humans who survive the entire war due to time dilation
           | effects the whole thing was a complete waste of time.
           | 
           | A key subplot in the book is that humanity adopts
           | homosexuality such that in the latter stages of the war, the
           | baseline heterosexual veterans are perceived as weird sexual
           | deviants. This seems to me allegory for the difficulty
           | Vietnam vets had in readjusting to civilian life.
        
             | killingtime74 wrote:
             | (I've read the book) no spoilers!
        
           | mlinhares wrote:
           | This was one of the best war movies I've ever read, almost
           | ever other one I read felt bland in comparison.
        
             | gpderetta wrote:
             | It is an amazing book indeed
        
             | ChrisMarshallNY wrote:
             | Agreed.
        
             | dhimes wrote:
             | I actually had it assigned to me to read in college.
             | Outstanding book.
        
         | mattsoldo wrote:
         | Project Hail Mary by Andy Weir (author of The Martian) goes
         | into the relativistic effects as well, and it includes a crazy
         | (made-up) fuel that could make it possible. Great easy read:
         | https://www.goodreads.com/book/show/54493401-project-hail-ma...
        
           | ftkftk wrote:
           | Excellent book. The audio book is really well done as well -
           | narrated by Ray Porter.
        
             | joshstrange wrote:
             | Ray Porter is an excellent audio book voice actor. He
             | narrates the Bobiverse books (as well as "The Singularity
             | Trap" by the same author) which I enjoy and "Project Hail
             | Mary" is next on my reading list after I finish out the
             | ExForce series.
        
               | sonograph wrote:
               | (spoiler warning) I gave up on the ExForce series after a
               | half dozen books; it was good, just repetitive. But I
               | couldn't force myself to purchase the Bobiverse #2. While
               | the Bobiverse author's style was irritating to me, I
               | thought the alien interactions in Bobiverse were
               | laughable compared to ExForce and Hail Mary (spoiler
               | sorry). The antagonist also left much to be desired.
               | 
               | But Ray Porter's voice needs to be applied to many more
               | books. I generally only stop reading audiobooks if I
               | can't listen to the reader any longer
        
               | joshstrange wrote:
               | I totally understand abandoning ExForce. It got better
               | once the writer went full time but it still leaves a lot
               | to be desired. I put up with it because I'm a
               | completionist and the author has a plan to end the series
               | in just a few more books so I'll stick it out but I get
               | it.
               | 
               | I think the core ideas in Bobiverse keep me hooked as I
               | just enjoy them but I see your point and don't begrudge
               | anyone who gave up on it.
               | 
               | This is a totally random question but have you ever read
               | the Honor Harrington series? They aren't related at all
               | (other than "sci-fi") but I'm always interested in other
               | series people have read and enjoyed (or not enjoyed) and
               | Honorverse is one of my favorites.
        
               | sonograph wrote:
               | I actually haven't heard of the Honor Harrington series;
               | I'll look it up. Do you recommend paperback or audio for
               | it?
        
               | joshstrange wrote:
               | I recommend the audio because the narrator does a very
               | good job IMHO. I tried to read the books after listening
               | to them first but felt it was lacking compared to the
               | audio.
               | 
               | I will say that this series is pretty technical (in that
               | I talks about the speeds of things and how fast things
               | are moving) which I greatly enjoy but I know isn't
               | everyone's cup of tea.
        
             | toiletaccount wrote:
             | i listened to a preview of that book and couldn't even get
             | to the end.
             | 
             | i kind of hate audiobooks for this reason, my internal
             | voice is just so much easier to listen to.
        
           | pierrebai wrote:
           | I would not classify it as great, but somewhat below par. I
           | made a list of things I did not like about the book, but it
           | would spoil many things. Not spoiling bits:
           | - All characters are two-dimensional. The further from the
           | main protagonist, the more 2D.         - Dialogues go from
           | wooden to cringe-worthy, with few exceptions.         -
           | Protagonist swings from super over- cautious to careless and
           | back.         - Alien with deus-ex-machina syndrome, always
           | having the perfect tech, material or skill to fill in the
           | lacks of the protagonist.         - Tired trope of amnesia to
           | make the protagonist remember stuff progrssively for the
           | reader.         - Extreme over-usage of flash-back, linked to
           | previous point, but oh boy! Half the book is flashback. Waaay
           | over-used story-telling tech.
           | 
           | The science, outside of the magic fuel and magic alien
           | material is mostly correct. That's the main strong point of
           | the book.
        
             | handrous wrote:
             | Assessments of what gets a sci-fi or a fantasy book classed
             | as "great" vary widely, it seems. I find recommendations by
             | people I don't know well, for those genres especially, to
             | be entirely useless. May as well throw a dart.
        
             | bestest wrote:
             | My thoughts exactly. I'd even call it quite shallow. The
             | only thing saving this book is science. I wouldn't say it's
             | a disappointment. But it definitely is very "Martian".
        
             | CabSauce wrote:
             | All fair points. Still an absolute page-turner. Sort of a
             | trashy romance sci-fi novel.
        
         | rsynnott wrote:
         | Tau Zero by Poul Anderson is another one on the same line; a
         | Bussard ramjet damaged such that it couldn't turn around.
         | Because the Bussard ramjet provides both propulsion and
         | radiation/particle shielding, they can't turn it off, so just
         | get faster and faster...
        
           | javajosh wrote:
           | Another one: The World at the End of Time, Frederik Pohl. A
           | star being ("Wan-To") accelerates another star indefinitely,
           | dragging its (inhabited) system with it.
           | 
           | https://en.wikipedia.org/wiki/The_World_at_the_End_of_Time
        
             | lazyweb wrote:
             | Read the book recently, was entertaining enough.
        
           | sgtnoodle wrote:
           | It was an interesting book, but the interpersonal dialog was
           | rather tough to get through. It really picked up some
           | momentum toward the end though!
        
             | anothermoron wrote:
             | > It really picked up some momentum toward the end though!
             | 
             | Ah!
        
       | teekert wrote:
       | Since mass increases with speed, will this spaceship collapse and
       | become a black hole? Or is it just massive from the observer
       | reference frame?
        
         | nuccy wrote:
         | Mass is not increasing in the frame of reference of the ship,
         | so no, it will not collapse into a black hole regardless of how
         | much energy it received externally (e.g. laser beam from Earth)
         | to accelerate closer to the speed of light.
        
       | eesmith wrote:
       | Those interested in this topic may also like the extensive
       | background materials and guidelines at Project Rho, eg,
       | http://www.projectrho.com/public_html/rocket/slowerlight3.ph... .
        
       | btbuildem wrote:
       | So in a way, this is time travel. If you wanted to see what the
       | world looks like in five thousand years, you could get on a
       | spaceship, accelerate way out to wherever and back, and voila!
       | you've fast-forwarded five millennia.
       | 
       | A fascinating thought. The ship and crew would surely be long
       | forgotten. You may be greeted as an alien visitor, until the
       | people of that time recognize your relatively ancient technology
       | from fragments of historical records. Too bad you speak a
       | language nobody else even remembers.
       | 
       | Or perhaps you emerge as gods on a pillar of fire from the sky,
       | witnessed by the primitive-again survivors of whatever has played
       | out since you left.
       | 
       | I'm strangely tempted. If you offer me a ticket on such a ship, I
       | might just come along.
        
         | justsid wrote:
         | Don't forget to become a bubble boy to avoid catching all of
         | the new diseases that you have 0 immune system protection
         | against.
        
       | deepsun wrote:
       | At relativistic speeds, you'd be vaporized, or at least ionized
       | by interstellar gas, e.g. there are about 1 atom of hydrogen in
       | one cubic cm.
       | 
       | There was a paper considering making a shield against it, either
       | lead, or electric field, or magnetic field, and resources
       | required for it.
        
         | cookieswumchorr wrote:
         | shit, looks like i started packing too early
        
       | wavefunction wrote:
       | Forever? Seems self-evident.
        
       | [deleted]
        
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