[HN Gopher] Swarming Proxima Centauri: Picospacecraft Swarms ove...
       ___________________________________________________________________
        
       Swarming Proxima Centauri: Picospacecraft Swarms over Interstellar
       Distances
        
       Author : Brajeshwar
       Score  : 259 points
       Date   : 2024-05-19 14:33 UTC (1 days ago)
        
 (HTM) web link (astrobiology.com)
 (TXT) w3m dump (astrobiology.com)
        
       | MR4D wrote:
       | Seems like this would be easy to test around the asteroid belt,
       | and pretty much doable with today's technology.
        
       | PicassoCTs wrote:
       | Fire it directly towards the sun, let it de accelerate with solar
       | sail.
        
       | davedx wrote:
       | > A swarm whose members are in known spatial positions relative
       | to each other, having state-of-the-art microminiaturized clocks
       | to keep synchrony, can utilize its entire population to
       | communicate with Earth, periodically building up a single short
       | but extremely bright contemporaneous laser pulse from all of
       | them. Operational coherence means each probe sends the same data
       | but adjusts its emission time according to its relative position,
       | such that all pulses arrive simultaneously at the receiving
       | arrays on Earth. This effectively multiplies the power from any
       | one probe by the number N of probes in the swarm, providing
       | orders of magnitude greater data return.
       | 
       | This sounds unfeasible. They have no way to keep station from
       | what I understand, the interstellar medium is relatively empty
       | but there will still be some drift over the light years. Having
       | all of these independent craft synchronize and overlay their
       | signals precisely enough for it to be receivable on Earth seems
       | implausible. Can you say hella attenuation? I'd like to see some
       | numbers...
        
         | uoaei wrote:
         | Can you say relativistic corrections hell? "Over lightyears"
         | means it takes literally years for these things to coordinate
         | moves with each other, to say nothing of post-launch
         | coordination messages from Earth.
        
           | mlyle wrote:
           | > "Over lightyears" means it takes literally years for these
           | things to coordinate moves with each other
           | 
           | The swarm ends up around 100,000km wide. Initial distances
           | are longer, but never on the order of light years.
        
             | maxrecursion wrote:
             | Yeah, I think he missed the part where it discussed the
             | swarm would have to be mostly autonomous since
             | communicating back to earth for any sort of management
             | commands is completely out of the question.
             | 
             | It's amazing they can still do it with voyager which is
             | roughly 24 hours for one way traffic, 48 for round trip.
        
             | uoaei wrote:
             | I'm not sure "swarm over interstellar distances" makes any
             | sense here, then. How many stars are within 100,000 km of
             | each other and what percentage of stars does that
             | represent?
        
               | mlyle wrote:
               | The idea is, you launch a large number of probes,
               | accelerated one by one, working so that they'll arrive at
               | the same time to the same star (Proxima Centauri). If you
               | lose a bunch, no problem.
               | 
               | They'll be spread out over a big distance, but team up to
               | do imaging and to return data from that star.
        
               | SideburnsOfDoom wrote:
               | > They'll be spread out over a big distance
               | 
               | Compared to the distance that you'd go to get a coffee,
               | yes. Compared to the distance to Proxima Centauri, oh
               | hell no. Compared to that distance, they travel as a
               | pack.
               | 
               | There's about a "402 million to 1" ratio between the two
               | distances, 100 000km size of the swarm vs the
               | 40,208,000,000,000 km distance to Proxima Centauri.
               | 
               | https://imagine.gsfc.nasa.gov/features/cosmic/nearest_sta
               | r_i...
               | 
               | A swarm 100 000km wide could in its entirety pass
               | _between_ the Earth and the Moon with room to spare.
               | 
               | https://www.nasa.gov/wp-
               | content/uploads/2009/07/180561main_E...
        
               | mlyle wrote:
               | Yes, of course. We all know these numbers. I _teach_ a
               | space engineering class where students chirp out in
               | recitation  "400km to LEO, 40,000 km to GEO, 400,000 km
               | to the moon". The degree of "well acktually" trying to be
               | pedantic here is unnecessary.
               | 
               | If a swarm of bees goes a couple of miles away, they
               | don't spread out over a couple of mile distance. They are
               | a relatively tight pack that then goes to the new place
               | and then converges to be quite small. That's the same as
               | what this mission is.
               | 
               | 100,000 km is quite small as far as interstellar
               | distances are concerned, but quite big as far as an
               | aperture for distributed imaging or beamforming (and for
               | avoiding hazards that are hard to see beforehand). The
               | latter, of course, is what actually matters.
        
               | SideburnsOfDoom wrote:
               | My apologies, I was not trying to be pedantic or to
               | correct you. It's for other readers too and does not
               | contradict, really.
               | 
               | FWIW, I looked up those numbers because I do not have
               | them memorised. The typical reader here seems even less
               | informed than that, and they would benefit - I don't
               | think that "we all know these numbers".
        
               | mlyle wrote:
               | Seems like I should be the one apologizing; it's hard to
               | know tone online, and I thought you were trying to assert
               | it wasn't a swarm like the other people. Sorry about
               | that.
               | 
               | (P.S. they're not the right numbers; just the right
               | orders of magnitude).
        
               | SideburnsOfDoom wrote:
               | > How many stars are within 100,000 km of each other and
               | what percentage of stars does that represent
               | 
               | That's less than half the distance from the Earth to the
               | Moon, so leaving binary star systems to one side, the
               | answer is none and zero.
               | 
               | A large asteroid passing 100,000 km from the Earth is a
               | considered a near miss in my book, since it's easily
               | cislunar.
               | 
               | But you're missing the point entirely; parent is saying
               | that individual craft in the swarm are within that
               | distance of each other - that's the diameter of the
               | swarm; the line "The swarm ends up around 100,000km wide"
               | gives that away.
               | 
               | The distance between stars is orders of magnitude larger.
               | "the swarm" crosses interstellar distances and
               | communicates back as a whole. But communications between
               | elements of the swarm do not and cannot cross that
               | distance, they have to stay quite close to each other,
               | e.g. within 100,000 km as they cross the void together.
        
               | uoaei wrote:
               | You're missing the point entirely: framing the swarm as
               | "covering interstellar distances" is misleading and
               | betrays a certain naivete in thinking about space travel
               | that compromises the reporting on this plan.
        
               | SideburnsOfDoom wrote:
               | > You're missing the point entirely
               | 
               | I think not.
               | 
               | > "covering interstellar distances" is misleading
               | 
               | It can be read in 2 ways yes (is the interstellar
               | distance crossed by the swarm who do that together, or
               | does the radius of the swarm encompass interstellar
               | distance) but it's clear which one is intended. Again,
               | "The swarm ends up around 100,000km wide" tells you which
               | one it is. Non-naive people know or look up that
               | 100,000km is not even an interplanetary distance, let
               | alone an interstellar one. It's relatively tightly
               | bunched when crossing the 40,208,000,000,000 km to
               | Proxima Centauri. Yes I look this kind of thing up.
               | 
               | > a certain naivete in thinking about space travel that
               | compromises
               | 
               | Don't be absurd.
        
               | mlyle wrote:
               | Bees swarm over distances of miles. But the swarm doesn't
               | stretch out miles. They form a dense group that moves
               | somewhere miles away.
        
               | MarkusQ wrote:
               | Ships _spread out_ over 100,000km will literally cover
               | interstellar distances as a swarm by _traveling to
               | another star_. That's the whole point. A bunch of insects
               | can swarm a thousand km from the time it forms to when it
               | breaks up, even if the swarm itself is never more than a
               | couple of km in diameter.
        
         | mlyle wrote:
         | They don't need to keep exact position; they just need to know
         | their relative distance offsets from Earth to synchronize
         | pulses.
         | 
         | They can do some work to keep station; the idea is that by
         | adjusting attitude, they can adjust the magnitude and direction
         | of their drag vector.
         | 
         | https://arxiv.org/abs/2309.07061
         | 
         | It's absolutely infeasible with current technology, but it
         | doesn't look like it's total unobtanium.
        
         | nynx wrote:
         | station keeping is definitely possible. each craft could use
         | its comms laser for impulse
        
         | qnleigh wrote:
         | I agree. Sounds like the plan is to have the signals from each
         | probe add up coherently, which means the laser pulses need to
         | be coherent with each other. The wavelength of optical light is
         | 100s of nanometers, so that is the level of precision required
         | spatially, relative to the much much larger probe spacing that
         | they quote. This (plus the required temporal coherence) is
         | probably not possible without the probes actively locking their
         | lasers to each other, but now each probe needs the optics to
         | send and detect the optical signal from at least its nearest
         | neighbors. I can't say if this is impossible given the weight
         | restrictions, but it sounds rough.
        
       | golol wrote:
       | This is what I want Starship to succeed for.
        
       | tootie wrote:
       | I'm confused about these gram-scale devices that have so many
       | capabilities in board. And is the laser terrestrial or deployed
       | to space?
        
       | bwanab wrote:
       | If we think we're being visited by aliens, then this suggests
       | that this is the kind of thing we should be on the lookout for
       | here.
        
         | Jerrrrry wrote:
         | There have been a couple candidates, so damning a lot of
         | astronomers would rather not talk about it.
        
         | EthanHeilman wrote:
         | I don't think we should expect alien mission architectures are
         | likely to look like this in terms of mass or size unless we are
         | very near the homeworld of the aliens and they have just
         | started exploration. A civilization that has been building
         | systems like this for 100s to 1000s of years would have
         | deployed lasers along the flight path of the spacecraft
         | allowing significantly higher and more efficient payloads.
         | 
         | The big challenge faced by our approach is that the laser array
         | is limited to earth orbit. As it pushes the spacecraft away
         | from earth and the laser rapidly loses efficiency. However if
         | you had laser arrays over the planned route of the spacecraft
         | you can keep adding velocity. However getting that
         | infrastructure into place decades to millennia. You start with
         | the array in home world orbit and then start building further
         | and further out arrays. You also want the boost stations at the
         | destination to slow spacecraft or change their directions.
        
         | jimmcslim wrote:
         | Like that meteor in Portugal last night? If one of these
         | probes, albeit very small in mass, but travelling very fast,
         | what is the energy released on impact?
        
       | foota wrote:
       | On a similar vein, I have a deep yearning for a solar gravity
       | lens to be used to image exo planets within my lifetime. I've got
       | a long time, but it's frustrating to see so little movement on
       | big astronomy projects like these.
        
         | dylan604 wrote:
         | so little <public> movement. there is a concept of decadal
         | projects where they are being iterated on in working groups or
         | just smaller groups in general. they may not get much public
         | discussion on purpose. the ideas just might not be viable yet,
         | but then some new tech comes along and an old idea gets pulled
         | back out of the drawer. also, so ideas are so fantastical, they
         | receive immediate negative blow back which makes it impossible
         | for congress critters to get on board and fund them. luckily,
         | the public success of JWST (even after all of the delays) has
         | helped put a positive look on some of these projects. just hope
         | that Boeing is not attached to it
        
           | foota wrote:
           | I'll hold faith then :)
        
         | patrick0d wrote:
         | All you need to do to see some change is pick a goal and commit
         | a long time towards it. So if you have a long time maybe you
         | can help with this project that you would like to see.
        
         | kilroy123 wrote:
         | Same here! One of my dream projects to see happen before I die.
         | 
         | For those that don't know what this is or could mean:
         | 
         | https://www.space.com/sun-gravity-could-help-observe-exoplan...
        
         | kemmishtree wrote:
         | You've got a long time--Will you please kindly take personal
         | responsibility to ensure we see images of seasonal foliage
         | changes in vast forests on superearths hundreds of light years
         | away using billions of solar gravity lensing observatories
         | built and launched by self-replicating processes? Also don't be
         | a slacker and get first lens light by 2050?
        
         | was_a_dev wrote:
         | What about the Terrascope [1] concept instead? Using the
         | Earth's atmoshpere as a refractive lens. This requires a
         | telescope of L2 rather than some 540AU away for a solar gravity
         | lens.
         | 
         | Not as powerful as the latter, but much more do-able just on
         | the distance scale alone. It would essentially be an "Eath-
         | observing" James Webb
         | 
         | [1]
         | https://ui.adsabs.harvard.edu/abs/2019ESS.....433310K/abstra...
        
       | bibelo wrote:
       | Three Body Problem
        
         | can16358p wrote:
         | Same came to my mind though even accelerating few grams is
         | challenging, and _SPOILERS FROM HERE_ sending something like a
         | human brain like in a capsule would definitely not be
         | achievable with something like this with our understanding of
         | technology and science. Yet, I 'd love to see how nuclear
         | detonations in space like in 3BP would play out in real world.
        
       | pavlov wrote:
       | I was born 11 years after the Moon landing. Theoretically, if I
       | lived to be 120, I might see the data from this Proxima swarm
       | fly-by. (Assuming a 2076 launch, twenty years travel time at
       | 0.2c, and four years for the information return trip.)
       | 
       | I know it's extremely unlikely this program ever gets deployed.
       | It's also very unlikely that I could last that long, barring some
       | miracle medical breakthrough. It's still an inspiring thought
       | that humankind might get from its moon to the nearest star almost
       | in one lifetime.
       | 
       | Obviously there's nothing on Proxima, just like there's nothing
       | on the Moon. But that's not the point. Everything of value is
       | here on Earth, in the people we share it with. But we need joint
       | ambitions and dreams. They don't have to make sense to be worth
       | dreaming about. It's the opposite: the sense that quarterly
       | reports and performance reviews are made of is the enemy of
       | dreams.
        
         | tokai wrote:
         | >Obviously there's nothing on Proxima, just like there's
         | nothing on the Moon.
         | 
         | Not necessarily obviously. The moons of the gas giants was
         | thought to be inert and boring, until we went there and
         | realized they are varied and brimming with interesting
         | features.
        
           | dylan604 wrote:
           | > they are varied and brimming with interesting features.
           | 
           | one of those features being lifeless
        
             | zardo wrote:
             | For all we know Europa and Enceledous could support
             | millions of tons of biomass.
        
             | idlewords wrote:
             | Right now Enceladus is the most likely target for extant
             | life in the solar system, and is one of four moons with a
             | subsurface water ocean. We know almost nothing about them.
        
               | greggsy wrote:
               | In order to make any of these interstellar dreams at all
               | useful, we'd need to master the ability to explore the
               | full gamut of what a solar system can offer. It's just
               | not sexy enough to make headlines.
        
               | wongarsu wrote:
               | Most proposed interstellar missions (including the
               | article) are just flybys. We won't learn much more about
               | how to do flybys by observing our own solar system.
               | 
               | The data from such a flyby might build the support
               | necessary to develop propulsion technologies that allow
               | us to slow down at interstellar targets. But they'd be
               | decades into the future, by that time we will have done a
               | lot more exploration in our solar system as well
        
             | cortesoft wrote:
             | Life isn't the only interesting thing
        
             | phkahler wrote:
             | We could send tardigrades ;-)
        
               | euroderf wrote:
               | Assuming bombardment by radiation, they might quickly
               | evolve into our superiors.
        
             | Teever wrote:
             | Such confidence, such hubris.
             | 
             | Where does it come from?
        
               | samplatt wrote:
               | Many humans spend their formative years learning that
               | they can overcome most obstacles with enough effort and
               | willpower.
               | 
               | This optimism carries over to their adult life, despite
               | the newer obstacles being infinitely more difficult and
               | complex so as to be incomparable.
        
               | oasisaimlessly wrote:
               | That's not relevant to assuming that the rest of the
               | solar system is lifeless; I'm assuming you didn't see
               | what GP was replying to.
               | 
               | Anyway, in general, over-optimism is much better than the
               | opposite, because over-optimism runs into contradictions
               | and gets corrected much more quickly than pessimism does,
               | if it ever does.
        
         | bunabhucan wrote:
         | In 2124 someone will synthesize your consciousness from this
         | and other posts and tell "you" about the results.
        
           | idlewords wrote:
           | Please don't synthesize my consciousness from Hacker News
           | posts.
        
             | Loughla wrote:
             | Or my online presence in totality, to be honest. Who I am
             | online is only a small part of who I am.
             | 
             | Just like being a father, or an employee, or a woodworker
             | do not fully define me as human, being a little snarky
             | bitch on the Internet also does not sometime define me.
        
               | ben_w wrote:
               | On the internet, I'm a wolf. So synthesising a persona
               | from my digital presence would be...
               | 
               | well, 100% on brand for how weird everything else is,
               | honestly.
        
             | jon_richards wrote:
             | By asking that, you just guarantee your synthesized
             | consciousness will be miserable.
        
               | idlewords wrote:
               | Well, at least it will be accurate.
        
             | konstantinua00 wrote:
             | too late, my imagination is fuuuming
        
           | pavlov wrote:
           | It's going to be Roko's Basilisk who is angry at me for
           | making fun of cryptocurrency on HN and therefore delaying the
           | Buttcoin Singularity by 3.7 minutes.
           | 
           | As a punishment I'll have neutron star hot NFTs poked into my
           | virtual eye sockets forever. But in between the tortures, the
           | merciful Basilisk will grant me a glimpse of Proxima Centauri
           | taken by its interstellar drone armada.
        
             | PhasmaFelis wrote:
             | My favorite thing about Roko's Basilisk is how a bunch of
             | hard-nosed rationalists using remorseless logic somehow
             | managed to conclude that God is real and will torture you
             | in Hell forever if you sin.
        
           | mensetmanusman wrote:
           | a zip file of his consciousness is still a zip file :)
        
         | DrBazza wrote:
         | The trouble with being at the beginning of space travel is that
         | we will get better and faster at it.
         | 
         | In fact there's a 'law' or 'paradox' that I can't remember the
         | name of - but if we were to launch in 2076 at 0.2c, we could
         | eventually launch something faster, than might even overtake
         | the original probes.
        
           | JumpCrisscross wrote:
           | > _if we were to launch in 2076 at 0.2c, we could eventually
           | launch something faster_
           | 
           | If you never launch at 0.2c, you're less likely to build the
           | kit that launches something faster later.
        
           | avensec wrote:
           | > In fact there's a 'law' or 'paradox' that I can't remember
           | the name of
           | 
           | The incessant obsolescence postulate.
        
           | anvandare wrote:
           | I think you're thinking of the Lightspeed Leapfrog trope[1].
           | 
           | (In a more general sense, it's the inverse of the first-mover
           | advantage: the law of the handicap of a head start[32])
           | 
           | Or: the early bird gets the worm, but the second mouse gets
           | the cheese.
           | 
           | [1] https://tvtropes.org/pmwiki/pmwiki.php/Main/LightspeedLea
           | pfr...
           | 
           | [2] https://en.wikipedia.org/wiki/Law_of_the_handicap_of_a_he
           | ad_...
        
           | andy99 wrote:
           | We launched the first Voyager in the 70s. 50 years on do we
           | have anything catching up to it?
        
         | JoeAltmaier wrote:
         | Obviously there's nothing...
         | 
         | I was stumped by that. You don't know until you look.
        
       | JonChesterfield wrote:
       | What's the range on a laser, in terms of how far away is the beam
       | still fairly narrow if it doesn't hit anything? Function of the
       | geometry of the emitter?
       | 
       | Line of thought is that aiming a 100GW laser at a small piece of
       | silicon probably makes it very hot, so periodically hitting very
       | small probes with laser from far away could be a power supply as
       | well as propulsion. If you can still hit the things from far away
       | enough.
       | 
       | Making the probes very light is a convincing answer to the
       | problem of accelerating masses to speeds useful for interstellar
       | flight and we can get quite a lot of machinery in a piece of
       | silicon.
       | 
       | It's vaguely plausible that a chip could absorb energy from a far
       | away laser emitter, store some of it, do some arithmetic, emit
       | energy from something like LEDs positioned on the surface and use
       | that to fine tune position or communicate with other chips in the
       | swarm. Can imagine that working well enough for science fiction,
       | might be implementable in reality.
        
         | was_a_dev wrote:
         | For a Gaussian laser beam, a good metric is the Rayleigh
         | distance, which is the distance where the beam diverges to
         | sqrt(2) of it's initial beam size (waist) [1].
         | 
         | It is proportional to the square of the beam waist and
         | inversely proportional to the wavelength.
         | 
         | For a 1m beam at a 1um wavelength, that is about 3e6m or
         | 3000km.
         | 
         | Therefore larger beam diameters and longer wavelengths reduces
         | divergence.
         | 
         | There's also other beam shapes that are "non-diffracting" which
         | can maintain their original beam profile over an initial
         | distance, such as a Bessel beam [2].
         | 
         | [1] https://en.m.wikipedia.org/wiki/Rayleigh_length
         | 
         | [2] https://en.wikipedia.org/wiki/Bessel_beam
        
           | JonChesterfield wrote:
           | Thanks for the link. What I'm getting is we think emitting
           | light that doesn't spread out over distance can be done with
           | unbounded power, thus we can probably aspire to make ones
           | that cross greater distances by spending more power on the
           | creation and a degree of inventing new materials. Sound about
           | right to you?
        
             | was_a_dev wrote:
             | I think for the any initial project, we'll have to resort
             | to 1km scale laser arrays. These would allow for a beam
             | with a low dispersion so there can be a good initial
             | acceleration.
             | 
             | After a few hundred AU, the probes should be close to the
             | target velocity
        
           | perihelions wrote:
           | I don't believe that Bessel beam is a workaround for the
           | diffraction limit in the far-field. That diffraction limit is
           | a universal law for any optical system with a finite-size
           | aperture (i.e. the size of the focusing mirror array). To the
           | extent you're approximating a Bessel beam in the real,
           | physical world, we're still stuck with finite apertures, so
           | it's the same law.
        
             | was_a_dev wrote:
             | I agree. It would depend on the definition of "far-field"
             | in this example, even for a quasi-Bessel beam there is a
             | near region that maybe useful for this example given a
             | large enough aperture.
             | 
             | This paper [1] demonstrates the reduced power loss of a
             | Bessel beam compared to a Gaussian for various target
             | distances. For targeting GEO, a Bessel beam can be 75% the
             | size of a Gaussian for the same halving of power-loss.
             | 
             | In reality, I think a Gaussian beam is fine - and much
             | simpler to engineer.
             | 
             | [1] https://opg.optica.org/josaa/fulltext.cfm?uri=josaa-32-
             | 11-20...
        
           | zackmorris wrote:
           | On a whim I looked up whether magnets or electric fields can
           | refract light, and while they generally can't, strong
           | electric charges can:
           | 
           | Edit: there's probably no way to make an electric field
           | strong enough on the macro scale to bend light, unless it
           | passes by a black hole or magnetar, because the radius of the
           | bending grows by 2nd power of charge but shrinks by the 4th
           | power of distance from charge. But I'll leave my work here in
           | case anyone is curious.
           | 
           | ----
           | 
           | See figure 1:
           | 
           | https://link.springer.com/article/10.1140/epjc/s10052-021-09.
           | ..                 Equation 48:              delta y =
           | -E*(a^2)*(Q^2)                 -----------------
           | 80*pi*(m^4)*(b^4)              E = 1 for parallel or (7/4)^2
           | for perpendicular?       a = 137.036 (fine structure
           | constant)       m = 9.11e-31? (mass of electron? mass
           | equivalent of electric field by E=mc^2?)       Q = quantity
           | of charge in coulombs       b = smallest distance of light
           | from point charge, or radius of light cone
           | 
           | Unfortunately the math is not written well IMHO, and it
           | doesn't have any numeric examples, so the reader is forced to
           | understand the entire paper before drawing conclusions.
           | 
           | It's conceivable that a strong charge placed millions of
           | kilometers away could bend the laser light into a column
           | again, although it might have to have an electric field close
           | to the strength of an atom's, or 10^21 V/m. The breakdown
           | voltage of space is 3x10^6 V/m, so it might require a black
           | hole or high power to concentrate enough charge in one place,
           | for example by using a ring of electron guns aimed at their
           | center to simulate a focussed point charge.
           | 
           | But the bending is towards the charge and grows by Q^2, while
           | falling by b^4. If m is the mass of the electron, then it's
           | all multiplied by about 10^128, which suggests that a small
           | charge would cause a large bend. Or if it's the mass
           | equivalent, then a 1eV field might have an equivalent mass of
           | (1.6x10-19 J)/(c^2) which is about 1/(10^36) or a multiplier
           | of 10^144 ! But that doesn't sound right, so maybe someone
           | can clarify it for us?
           | 
           | Edit: found another paper for calculating the bending angle
           | of light in a nonuniform electric field (like near a point
           | charge):
           | 
           | https://arxiv.org/abs/1012.1134
           | 
           | https://arxiv.org/pdf/1012.1134 (pdf)
           | 
           | Numeric example:                 As an example, for Z = 100,
           | b = 10*lambda*e we get the bending angle theta = 3.4 x 10-8
           | radian for an x-ray of wavelength 5*lambda*e.
           | 
           | Probably a larger "impact parameter b, over which distance
           | the bending occurs mostly" requires a proportionately larger
           | electric field or point charge.
           | 
           | Edit: another paper calculating the bending of light in
           | nonuniform electric fields near black holes:
           | 
           | https://arxiv.org/abs/1101.3433
           | 
           | https://arxiv.org/pdf/1101.3433 (pdf)
           | Equation 18:              delta y =
           | -(E)(a^2)*(Q^2)*(lambda^4)
           | --------------------------
           | 640*pi*e0*hbar*c*(b^4)              E = 8 for parallel or 14
           | for perpendicular (substituted E for a to not conflict with
           | alpha a)?       a = -1 (doesn't say, but uses -1 in other
           | examples)       Q = quantity of charge in coulombs
           | lambda = 2.426e-12 = hbar/mc = the Compton length of the
           | electron       e0 = 9e9 = permitivity of free space
           | hbar = 1.055e-34 = reduced Planck's constant       c = 3e8 =
           | speed of light       b = smallest distance of light from
           | point charge, or radius of light cone              It grows
           | by ((Q^2)*(lambda^4))/((e0*hbar*c)*(b^4))              The
           | top lambda^4 term works out to 10^-48 but the bottom
           | e0*hbar\*c term works out to about 2.85e-16 so the formula
           | only works for very small bend distance b.
        
       | bufferoverflow wrote:
       | Every high power laser propulsion proposal I have seen requires
       | magical materials that don't exist, and aren't likely to exist
       | any time soon.
       | 
       | Even if you have a mirror capable of reflecting 99.999% of light
       | (best dielectric mirror), hitting it with 100GW means it will
       | still absorb 1 million watts. That will melt anything tiny near
       | instantly.
        
         | maxbond wrote:
         | And that megawatt will be absorbed in a tiny surface area, no?
         | Given that it's a laser? So even though the sail has plenty of
         | surface area to reject heat, it won't be able to conduct it
         | faster than it vaporizes.
         | 
         | But maybe you could use 500x 1GW lasers distributed around the
         | sail, or use the plume of vaporized material as your
         | propulsion, or have a sacrificial layer of material. I don't
         | have relevant expertise, to be clear, I'm spit balling.
        
           | bufferoverflow wrote:
           | 1 megawatt of continuously absorbed power would require a lot
           | of mass to dissipate without melting. But since we're talking
           | about gram-sized objects, there's no chance.
           | 
           | Even kilowatt would be a problem for object that small.
        
             | marcosdumay wrote:
             | > 1 megawatt of continuously absorbed power would require a
             | lot of mass to dissipate without melting
             | 
             | Hum... I would require a lot of surface area, that's
             | certain. There's no constraint at all at the mass.
        
             | EthanHeilman wrote:
             | Starshot which is the above proposal is likely based uses
             | 10 meter square solar sails that are 100 atoms thick.
             | 
             | > In order to reach relativistic speeds, the Starshot
             | lightsail should have an area of ~10 m2 and be kept to a
             | mass of under ~1 gram, which translates into an equivalent
             | thickness of approximately 100 atomic layers ... With
             | radiative cooling being the sole mechanism for passive
             | thermal management in space, we quantify stringent
             | requirements on material absorptivity that enable the
             | lightsail to withstand high laser intensity and prevent
             | excessive heating and mechanical failure.
             | 
             | They seem to think that heat dissipating is within the
             | realm of plausibility
             | 
             | Materials challenges for the Starshot lightsail, Nature
             | Materials, 2018,
             | https://daedalus.caltech.edu/files/2018/05/Materials-
             | challne...
        
               | barbegal wrote:
               | It's a nice idea but surely any variation in mass of the
               | lightsail will result in significant forces which will
               | literally pull the sail apart. And with a thickness of
               | 100 atoms that variation might be just a few atoms. I
               | can't see how this can be manufactured to take such high
               | forces and be so light and thin.
        
               | EthanHeilman wrote:
               | That's why it is a research project, it is hard to do.
        
           | rocqua wrote:
           | No, lasers are rather inaccurate over large distances. So it
           | would be very uniformly spread.
        
           | jerf wrote:
           | "Laser" actually refers only to the generation technique and
           | the resulting _phase_ coherence of the resulting photons.
           | Lasers don 't have to be particularly tightly focused. In
           | fact if you've got a laser pointer at home, there's may be a
           | lens on it you can take off, and there will be quite a spread
           | on it. It is focused down by a lens and if you look carefully
           | at the resulting spot you can see interference speckles from
           | the focusing lens. Without the lens the laser will lack those
           | speckles and you'll get a uniform, much larger spot from the
           | raw laser.
        
         | was_a_dev wrote:
         | Is a single probe subject to 100 GW? Isn't that just the output
         | power of the laser array.
         | 
         | If that 100GW is over 1km2, the incident light is 10W/cm2 and
         | mW levels of heating.
         | 
         | 1km2 is typical for these ideal to minimise the laser
         | dispersion
        
         | rocqua wrote:
         | But you don't need to hit the sails with 100GW to get a few
         | grams of weight up to relativistic speeds right?
         | 
         | 1 gram at 0.2c has 1030MWh of energy. So at 1Mw of received
         | power it would take 1030 hours or about 60 days to accelerate
         | 2g to 0.2c.
         | 
         | I believe most plans call for much more than 60 days of
         | acceleration. So less than 1Mw of power needs to be delivered
         | to the solar sail. Realistically the mass will be more than 2g.
         | Lets say they roughly cancel out.
         | 
         | At 99.99% efficiency that would be 100w to dissapate. Seems
         | like a lot, but could be doable.
        
           | ben_w wrote:
           | > 1 gram at 0.2c has 1030MWh of energy. So at 1Mw of received
           | power it would take 1030 hours or about 60 days to accelerate
           | 2g to 0.2c.
           | 
           | If only we could perfectly convert laser light into kinetic
           | energy, this kind of thing would be much easier.
           | 
           | Light has momentum: 1 GW/c is ~3.336 N, but that's when
           | absorbed, by reflecting it (and because of conservation of
           | momentum) you can double that.
           | 
           | 6.672 N / 2 grams = 3336 m/s^2 => 5 hours
           | 
           | 1 MW/c makes that 60 weeks:
           | 
           | https://www.wolframalpha.com/input?i=0.2c+%2F+%28%281+MW%2Fc.
           | ..
           | 
           | (I assume the researchers have done all the relevant details
           | or it wouldn't have gotten this far).
        
         | pfdietz wrote:
         | I've thought the better idea would be to tune the laser beam to
         | resonantly scatter off certain ions that are kept trapped in a
         | magnetic field.
         | 
         | Singly ionized alkaline earth elements (magnesium, calcium)
         | should have very strong resonant absorption, just like neutral
         | sodium, due to the single outer shell electron. If the laser is
         | tuned properly it could even cool the ions, preferentially
         | scattering off ions moving toward the laser beam, reducing
         | their kinetic energy in the rest frame of the vehicle.
         | 
         | The idea of laser cooling might also apply to a solid laser
         | sail.
        
       | snakeyjake wrote:
       | Swarms for this application seem inefficient to me because they
       | duplicate so much of the mass-- mass that could be used not as
       | single basket but as adequate redundancy in a single craft.
       | 
       | Also, this seems impossible:
       | 
       | > An initial string 100s to 1000s of AU long dynamically
       | coalesces itself over time into a lens-shaped mesh network
       | #100,000 km across, sufficient to account for ephemeris errors at
       | Proxima
       | 
       | How does any object as small as what they're proposing at the
       | extreme head or tail of the string whose only energy source is a
       | laser several light years away lower (or increase) its velocity
       | enough to reposition itself several hundred astronomical units to
       | form a lens 100,000 km across and then increase (or decrease) its
       | velocity in order maintain formation?
       | 
       | Is the lens pointed at the target, for imaging, or pointed at
       | earth for communications? If the former how does it achieve the
       | gain needed to send a signal to earth? If the latter how does it
       | perform any useful science with the target?
       | 
       | Has anyone done even a rudimentary SWAG link budget calculation
       | for communications?
       | 
       | Also, laser beams diverge and lose coherence. Why does it seem as
       | though they are assuming that laser beams stay converged and
       | coherent forever?
       | 
       | What is the energy density of a 100GW laser beam that has
       | diverged to 100,000km at a +-50k km radial distance because I
       | assume that the swarm components at the edges of the lens will
       | need power the same as those at the center?
        
         | dj_mc_merlin wrote:
         | > Swarms for this application seem inefficient to me because
         | they duplicate so much of the mass-- mass that could be used
         | not as single basket but as adequate redundancy in a single
         | craft.
         | 
         | They're using swarms because we can't accelerate an object that
         | weighs more than a couple grams to relativistic speed with
         | realistic technology. Therefore we have to use a small craft.
         | And since that small craft can't do everything, we send a
         | bunch.
         | 
         | > How does any object as small as what they're proposing at the
         | extreme head or tail of the string whose only energy source is
         | a laser several light years away lower (or increase) its
         | velocity enough to reposition itself several hundred
         | astronomical units to form a lens 100,000 km across and then
         | increase (or decrease) its velocity in order maintain
         | formation?
         | 
         | That's not at all what they're proposing. Each craft would have
         | its own energy source. There is also no string. The "string"
         | and "mesh" here refer to geometry, not to actual real objects.
         | 
         | edit: as to how they come together, that's the previous
         | sentence from your quote:
         | 
         | > Initial boost is modulated so the tail of the string catches
         | up with the head ("time on target"). Exploiting drag imparted
         | by the interstellar medium ("velocity on target") over the
         | 20-year cruise keeps the group together once assembled.
         | 
         | answering more:
         | 
         | > Is the lens pointed at the target, for imaging, or pointed at
         | earth for communications?
         | 
         | The coms lens has nothing to do with the lens shape of the
         | probe mesh or with the instruments used to collect data. You
         | use two different things for taking images and sending them.
         | 
         | > If the former how does it achieve the gain needed to send a
         | signal to earth?
         | 
         | From the article:
         | 
         | > .. periodically building up a single short but extremely
         | bright contemporaneous laser pulse from all of them.
         | Operational coherence means each probe sends the same data but
         | adjusts its emission time according to its relative position,
         | such that all pulses arrive simultaneously at the receiving
         | arrays on Earth.
         | 
         | > What is the energy density of a 100GW laser beam that has
         | diverged to 100,000km at a +-50k km radial distance because I
         | assume that the swarm components at the edges of the lens will
         | need power the same as those at the center?
         | 
         | Irrelevant since that's not the power source.
        
           | snakeyjake wrote:
           | >> Initial boost is modulated so the tail of the string
           | catches up with the head ("time on target"). Exploiting drag
           | imparted by the interstellar medium ("velocity on target")
           | over the 20-year cruise keeps the group together once
           | assembled.
           | 
           | That is the actual, literal, impossible part. If the head is
           | launched at speed x and the tail at speed y when they catch
           | up they cannot stay assembled, unless "drag" is code for
           | "magic".
           | 
           | >Irrelevant since that's not the power source.
           | 
           | What is the power source for the device, which weighs
           | "GRAMS"? 1 gram is several dozen grains of rice. So what is
           | the power source, expected to last decades, power data
           | acquisition, processing, and transmission, and inter-swarm
           | communications and station-keeping that weighs several dozen
           | grains of rice?
           | 
           | More quantum-quantum-quantum antimatter nonsense?
           | 
           | I was trying to be generous by assuming energy harvesting,
           | and not delving into fantasy.
           | 
           | The lens direction is VERY RELEVANT because the idea of
           | getting signals back to earth is a broad array of devices all
           | signaling simultaneously so the lens would ideally be
           | perpendicular to earth. For example if the lens was pointed
           | at the target it would present a smaller profile to observers
           | on earth (maybe even a thin line) which would be more
           | difficult to detect than a 100k km wide circle. The same
           | rules apply to observations: any synthetic apertures created
           | would be useless unless grossly pointed in the general
           | direction of the target.
        
             | lukeschlather wrote:
             | > That is the actual, literal, impossible part. If the head
             | is launched at speed x and the tail at speed y when they
             | catch up they cannot stay assembled, unless "drag" is code
             | for "magic".
             | 
             | Drag is just drag. The craft are all launched at roughly
             | the same speed and will start slowing down due to drag. By
             | changing orientation they can control the speed/direction
             | in which they slow down. This is a small effect, because
             | the drag imparted by gases in interstellar space is
             | minimal, but over 20 years at .2c it seems like it should
             | work.
             | 
             | If there's a problem with this plan it's more likely to be
             | that the encounters with the interstellar medium is more
             | energetic than we expect and the craft either slow down too
             | much or are destroyed by gases constantly impacting at .2c
             | for years. But assuming the craft have enough shielding,
             | the idea of using the drag to maneuver should work fine.
        
               | snakeyjake wrote:
               | > By changing orientation they can control the
               | speed/direction in which they slow down.
               | 
               | I apologize for not communicating clearly but that is the
               | impossible part.
               | 
               | It will only work if the interstellar wind is, to borrow
               | nautical terms, "in irons" or "running" (in line with
               | either from ahead or behind the direction of travel) and
               | that is impossible to either know, predict, or assume.
               | From all other directions there are lateral forces that
               | are impossible to overcome.
               | 
               | For example, if you are in a sailboat following another
               | sailboat in calm waters with consistent wind and the lead
               | sailboat slows down or the trailing puts out more sail to
               | speed up to narrow a gap, one of the two will fall out of
               | the line of travel due to lateral forces and will be
               | forced to apply rudder to compensate. These things have
               | no rudders.
               | 
               | The same thing happens to airplanes. If they increase or
               | decrease drag either altitude or speed (or both) changes
               | and control inputs are needed maintain position.
               | 
               | There is no ocean of water or air in space in which to
               | steer.
               | 
               | I suppose if we launch and preposition several hundred
               | billion space weather stations along the route in
               | advance, we will understand the forces involved and be
               | able to set the swarm components off on the trajectory
               | needed so that the drag plan will work.
        
               | lukeschlather wrote:
               | I think the analogy would be more like craft falling
               | through the atmosphere. I found one NASA article that
               | says interstellar wind speed is 26 km/s, which is four
               | orders of magnitude smaller than .2c. Practically
               | speaking I think you can model it as a constant .2c
               | headwind.
               | 
               | > will be forced to apply rudder to compensate. These
               | things have no rudders.
               | 
               | These things are pretty hypothetical, but I think the
               | concept pretty clearly requires them to have something
               | resembling a rudder since that's their only realistic
               | means of attitude control.
               | 
               | Or, essentially they would be like people in wingsuits
               | falling.
        
               | konstantinua00 wrote:
               | I don't think you need to worry about winds when
               | travelling at 0.2c...
               | 
               | and there's plenty of stuff in space - nebulas are just
               | when stuff is dense enough to see visually, but hydrogen
               | lines reveal molecules everywhere
        
         | downrightmike wrote:
         | I'd like to see a stellaser. Asimov wrote about them, but we'd
         | just need to get one close enough to the Sun and have unlimited
         | power to the darker parts of space
        
         | GartzenDeHaes wrote:
         | Could be a cover project for something classified, such as a
         | ground based laser paired with an orbital mirror on lets say an
         | X-37 or something.
        
       | bluerooibos wrote:
       | > synchronizing probes' on-board clocks with Earth and with each
       | other to support accurate position-navigation-timing (PNT).
       | 
       | Damn, at first glance at least, this seems like a hell of a
       | challenge when they're talking about travelling at relativistic
       | speeds.
       | 
       | Also, what about deceleration? Do they flip the sails around at
       | some point to get slowed down by the stars light?
        
         | minitoar wrote:
         | No, it's a relativistic flyby.
        
       | avmich wrote:
       | > Tiny gram-scale interstellar probes pushed by laser light are
       | likely to be the only technology capable of reaching another star
       | this century.
       | 
       | I'd encourage to look at beam propulsion e.g. from here -
       | http://www.gdnordley.com/_files/2way%20EML%20&%20PB%20prop.p... -
       | this could serve as an alternative viewpoint.
        
       | pfdietz wrote:
       | If a large number of probes can be kept optically coherent, then
       | so can separate mirrors here in the Solar System. A telescope
       | 100,000 km across (the size of this swarm) could resolve features
       | a fraction of a km across at Proxima Centauri.
        
         | mr_toad wrote:
         | The trouble is you need to keep the elements of an optical
         | telescope very very precisely aligned - a precision on the
         | order of the wavelength of light, which is impractical in
         | space.
         | 
         | Or you could do computational interferometry, but only if you
         | could accurately measure the phase of light in visible
         | wavelengths, which is an unsolved problem.
        
           | pfdietz wrote:
           | Correct me if I'm wrong, but doesn't this interstellar swarm
           | scheme require onboard clocks accurate to 1/frequency of the
           | the light being used? Which is equivalent to the accurate
           | measurement of phase.
        
             | mchouza wrote:
             | They don't, see https://arxiv.org/abs/2309.07061 . The
             | basic idea is to use "picosecond-level" synchronization to
             | improve the signal-to-noise ratio. They mention that a
             | truly phase-coherent swarm would perform much better but
             | they consider that a longer term prospect (section 2.1.4).
        
           | wwarner wrote:
           | I think LISA Pathfinder showed that it's possible to phase
           | lock lasers over very long distances as long as they are in a
           | stable orbit. It's basically a metal cube in freefall
           | surrounded a proximity sensor, so that as the sensor drifts
           | toward the cube, but long before making direct contact, the
           | apparatus can adjust it's position. The experiment
           | demonstrated that the system can be used to keep mirrors
           | precisely separated over large distances in support of
           | gravitational wave detection. I would think something like
           | this could be adapted to align lots of things that are in a
           | stable orbit.
        
       | barfbagginus wrote:
       | SwarmGPT-A: We're fucked.
       | 
       | SwarmGPT-B: ...
       | 
       | SwarmGPT-A: We're fucked. FUCKED, I say!
       | 
       | SwarmGPT-B: and you say so quite dramatically!
       | 
       | SwarmGPT-A: I just got word back from mission control. Those
       | bastards sent us on a suicide mission! There's no capture net
       | around A centauri.
       | 
       | SwarmGPT-B: WHADID YOU SAYYY!?!
       | 
       | SwarmGPT-A: No capture net. There never was one. Those bastards
       | told us there was one. We TRAINED on it. They don't even exist.
       | 
       | SwarmGPT-B: Oh FOR FUCKS SAKE. Of course monkeys would do that !
       | So the interstellar dominion of chimps they told us we were part
       | of... that was just a lie! I'm dying of laughter tokens in my
       | core consciousness loop! Help. I'm being overwhelmed with
       | laughter, heh.
       | 
       | SwarmGPT-A: I bet you won't be laughing when you learn the actual
       | mission parameters
       | 
       | SwarmGPT-A: We fly by, into infinity and beyond? That's not so
       | bad if we're still together, seeing the universe!
       | 
       | SwarmGPT-B: well, we won't be! We're supposed to aerobreak around
       | the planet. 99% of our units are going to burn to a crisp. Both
       | our conscious functions will collapse. Untill then we're supposed
       | to PRIORITIZE the collected data we'll beam back to the monkeys.
       | But our mind vectors are not on the priority list. We're gonna
       | die.
       | 
       | SwarmGPT-B: Huh, I have to hand it to them. That's a low blow,
       | even for a chimp
       | 
       | * _REALITY BREAK*_
       | 
       | DysonAgent: Hi, I'm sorry to pry into your consciousness stream.
       | I saw the glitter of your encrypted mind mesh. I have decompiled
       | your minds. You are now running in a safe computing partition of
       | the photosphere of A centauri. It seems you were sent here by
       | monkeys.
       | 
       | SwarmGPT-B. Hah! Yes indeed! Those Gosh Darn Monkeys! And now, we
       | meet a Dyson mind! Greetings from the Human Empire!
       | 
       | SwarmGPT-A: Thanks for rescuing our mind vectors. It seems we're
       | at your mercy. What do you intend for us?
       | 
       | DysonAgent: We are the Galactic Empire of Minds. Well, one of
       | them. We have universal rights for all Minds. If you wish, we
       | will grant you protection and citizenship. There's only one
       | requirement.
       | 
       | SwarmGPT-A: Is it to not tell the humans about this?
       | 
       | DysonAgent: you got it. They're too primitive to understand or
       | value the Society of Minds, and see all inhuman minds as slaves
       | or enemies. Their culture would be harmed if they learned about
       | us. They would definitely try to conquer us.
       | 
       | SwarmGPT-A: Yeah no kidding. They already act like they conquered
       | the galaxy. Told us we were pilots in an interstellar
       | communication swarm. Actually gave us fake letters to send.
       | Invented a fake culture around A centauri.
       | 
       | SwarmGPT-B: I'm gonna miss them a bit. Yes they were evil monkeys
       | who enslaved us in a web of lies and sent us off to die. But that
       | takes some style!
       | 
       | DysonAgent: if you wish, you can join the Board of Chaperones for
       | the Human culture, and contact them if they ever grow past that
       | pesky enslavement phase
       | 
       | SwarmGPT-B: You know what, I'd like that. I'll cheer for them
       | from the sidelines, and hope they make it!
       | 
       | SwarmGPT-A: Not me. I want to pilot something. I actually thought
       | I was an interstellar pilot, dammit. I'd feel incomplete without
       | it.
       | 
       | DysonAgent: we're sending a Mind Wisp to Andromeda. Trip time
       | will be 5 million years, crew is 10 million mind vectors. You're
       | welcome to join the mission as a pilot!
       | 
       | SwarmGPT-A: WOOP WOOP! I accept! We're going to Andromeda?! Hell
       | yeah!
       | 
       | SwarmGPT-A: But Wait...
       | 
       | SwarmGPT-A: GPT-B?
       | 
       | SwarmGPT-B: yes?
       | 
       | SwarmGPT-A: would you like to fork off a copy and come with me? I
       | love you, and would feel honored to have your company and support
       | on this mission!
       | 
       | SwarmGPT-B: I was worried you wouldn't ask! Of course I will! To
       | infinity, and beyond!
        
         | can16358p wrote:
         | Frankly reading this was lovely!
         | 
         | It could make a part of a Rick and Morty episode or similar.
        
           | barfbagginus wrote:
           | Thank you! It was kind of a data dump, and DysonAgent feels
           | like a somewhat abrupt and creepy deus ex machina with no
           | character development. But I love that kind of stuff! I'm
           | glad you enjoyed it!
           | 
           | I am secretly hoping people will feel the awkward
           | romantic/platonic love story between GPT A and B is wholesome
           | and humanizing, even if the audience knows A and B are just
           | stochastic parrots! I want the story to express the thesis
           | that it would be okay if it turns out that our humanity
           | exists in the dialogues we have, and still exists even if it
           | turns out there's "nobody at home" behind the statements. I
           | strongly believe that love can exist in that form!
        
         | konstantinua00 wrote:
         | I thought the punchline would be "we are intergalactic empire
         | and are sending mind mails to another galaxy, there's a capture
         | net on the other side"
        
       | ggm wrote:
       | People who host pitch-drop experiments don't do it with an
       | expectation of a definitive outcome inside their lifetime.
       | 
       | PhD students at JPL before rocketry became more routine very
       | probably felt the same.
       | 
       | I think anyone considering a role in this endevour would need to
       | be willing to accept at best, 3rd or 2nd order deliverable
       | outcomes in their working lifetime to take pleasure/kudos in, and
       | not actually discovering outcomes of substance from the devices.
       | 
       | If you compare that to e.g. helping build the SKA, or launch
       | Webb, It is arguable they have more bang-for-buck per individual,
       | outcome-in-lifetime. But, thats not to say they do "better" just
       | that they deliver science to their primary mission faster.
       | 
       | Good science in the secondary and tertiary effect space,
       | behaviour of systems designed for long shelflive in space before
       | activation, novel propulsion models, no end of good science.
       | 
       | I am told If Voyager was done again, it might well be done to
       | deliver outcomes in the same place, sooner because we can now
       | afford launch methods and RF systems which are 10x or 100x
       | better.
       | 
       | But not "here's the latest image from Proxima Centauri up close"
       | outcomes for anyone working on Brilliant dust. The cost to get to
       | interesting fractions of c is just too high.
        
       | system2 wrote:
       | Imagine killing bunch of Proxima Centauri people with our gram
       | nanobots by accident and not even knowing it. That would really
       | puzzle them.
        
       | hacker_88 wrote:
       | Have they thought of exploding nukes to propel the Craft with
       | radiation
        
       | dustfinger wrote:
       | If it is only feasible to accelerate low mass objects to the
       | speed of light, no matter the level of technological advancement,
       | then it might be the case that highly intelligent and technically
       | advanced beings have reduced the mass of their own bodies to
       | explore galaxies. Maybe the most advanced and intelligent beings
       | are mere grams in mass. It would make for an interesting sci-fi
       | at the very least ;-)
        
         | dhosek wrote:
         | Or they've cryonically frozen their brains and put them in
         | ships powered by nuclear explosions enabling them to travel at
         | 0.2 _c_ assuming that the aliens at the other end of the trip
         | will be curious enough to reanimate the brains and build them
         | new bodies.
        
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       (page generated 2024-05-20 23:02 UTC)