[HN Gopher] What if Planet 9 is a Primordial Black Hole? (2019)
       ___________________________________________________________________
        
       What if Planet 9 is a Primordial Black Hole? (2019)
        
       Author : rbanffy
       Score  : 143 points
       Date   : 2021-08-13 09:35 UTC (13 hours ago)
        
 (HTM) web link (arxiv.org)
 (TXT) w3m dump (arxiv.org)
        
       | nabla9 wrote:
       | That would make physicists happy. Once you locate it, you could
       | observe and study it with satellites.
        
         | pixl97 wrote:
         | Yep dropping matter in it would allow us to study physics at
         | much higher energy than we can generate here on earth.
        
         | Chris2048 wrote:
         | plus: a way of generating energy (I think that one depends on
         | spin?) and a way of accelerating spacecraft.
        
           | rbanffy wrote:
           | Matter tends to glow in agony when falling into a black hole
           | while the tidal forces shred its atoms apart. Tidal forces
           | should be pretty rough at this size.
           | 
           | The hard part of using a black hole for propulsion is that
           | you'll need to drag a planetary mass along. It's an
           | interesting engineering problem.
        
             | kadoban wrote:
             | There's also the Penrose process which is theoretically
             | useful on spinning black holes. I also watched this in the
             | past, which has some fun ideas (that are probably a little
             | fanciful?) https://m.youtube.com/watch?v=ulCdoCfw-bY tl;dw:
             | put a mirror around it and shine light in, get back lots of
             | energy and/or blow up your whole solar system.
             | 
             | I'm not sure if any of that would apply to a ~planet mass
             | black hole spinning with ~planet sized angular momentum, or
             | how solid the physics even is, but it sounds cool anyway.
        
       | mrfusion wrote:
       | If these are common would not our exoplanets hunt have found a
       | bunch of these? Especially when looking at star wobble.
        
         | pavel_lishin wrote:
         | Maybe we have, but without a visual detection, we don't realize
         | what we're seeing in the wobble.
        
       | est31 wrote:
       | FTR, if you wondered what they meant by "annihilation signals
       | from the dark matter microhalo", apparently one of the theories
       | for what makes up dark matter is WIMPs which are special
       | particles that interact weakly with normal particles but _can_
       | interact with each other and result in creation of other, better
       | observable particles.
       | 
       | The theory is that in the early universe, WIMPs were created
       | spontaneously due to massive temperatures of the primordial
       | plasma, but later as the universe expanded and cooled, this
       | creation didn't work. However, the WIMPs would still be able to
       | react with each other, reducing their numbers, until they'd be so
       | rare that annihilations are such a rare event that they don't
       | significantly reduce their numbers any more. Then space expanded
       | even further.
       | 
       | https://arxiv.org/pdf/1403.4495.pdf
       | 
       | Apparently due to the strong perturbances of the dark matter that
       | this black hole creates, it creates potentially detectable
       | annihilations, and they discuss which scenarios can be excluded
       | or detected with data generated by the FERMI-LAT gamma ray
       | telescope.
       | 
       | Not a physicist though, so please correct me if I'm wrong.
        
         | da_chicken wrote:
         | Note for the curious: WIMP simply means "weakly interactive
         | massive particle". And "massive" here means "has mass," not
         | that they're gigantic.
         | 
         | Although they're theorized to have a mass closer to the Higgs
         | boson than a proton, which is a lot of mass as far as subatomic
         | particles go.
        
           | gmadsen wrote:
           | is that synonymous with dark matter as described in galaxy
           | structure models?
        
             | binarybanana wrote:
             | IANAP, but they're (among others, like MACHOs, primordial
             | BHs, etc.) potential candidates for dark matter, yes.
        
           | Sharlin wrote:
           | As opposed to MACHOs ("massive compact halo object") where
           | the "massive" actually does mean "planetary to stellar mass".
        
         | AtlasBarfed wrote:
         | Huh, so the detection of a MACHO candidate would be a WIMP?
         | 
         | That is some delicious astrophysics smorgasborg
        
           | [deleted]
        
           | rich_sasha wrote:
           | I think MACHO and WIMP are alternative theories. MACHO came
           | first IIRC
        
             | dnautics wrote:
             | GP was not well-phrased. I think they meant "the first
             | detection of a MACHO candidates could be via a WIMP
             | detection" (a black hole planet 9 would likely be in the
             | last uneliminated sliver of MACHO candidate space and we'd
             | see it via WIMP annihilation)
        
             | binarybanana wrote:
             | IIRC, the other way around. The editor who greenlighted the
             | WIMP paper for print (and only because it was already an
             | established name) regretted this decision once he saw the
             | MACHO paper. Apparently he doesn't like cute names.
        
         | Simplicitas wrote:
         | "annihilation signals" sounds very troubling
        
           | tejtm wrote:
           | matter / antimatter annihilation is the perfectly normal
           | state of affairs, we only exist as a fluke because it did not
           | happen perfectly.
        
       | Rd6n6 wrote:
       | For those who, like me, didn't know what planet 9 was:
       | 
       | > Planet Nine is a hypothetical planet in the outer region of the
       | Solar System. Its gravitational effects could explain the
       | unlikely clustering of orbits for a group of extreme trans-
       | Neptunian objects (ETNOs), bodies beyond Neptune that orbit the
       | Sun (Wikipedia)
        
       | tiborsaas wrote:
       | "Note that a 10M[?] PBH is roughly the size of a ten pin bowling
       | ball"
       | 
       | How to tell something is written by an American :)
        
         | tzs wrote:
         | The paper has two authors, one American and one from the UK. If
         | I had to guess I'd guess that was from the UK author.
         | 
         | Why? Because in the US ten pin bowling is the only kind of
         | bowling most people are aware of, except perhaps in New England
         | where candlepin bowling is popular or central Texas where nine
         | pin is played. I'd thus expect an American author to simply say
         | "bowling ball".
         | 
         | The UK is mostly ten pin, but in the non-English speaking parts
         | of Europe nine pin is big. I'd expect a UK author to be aware
         | of that and so specify the type of bowling ball.
        
           | mongol wrote:
           | Would not a brit compare with a football?
        
             | lamontcg wrote:
             | asoccer or ruggers?
        
           | celticninja wrote:
           | Sounds right but for the wrong reason possibly.
           | 
           | Lawn bowls is very common. Thus a bowling ball may be taken
           | as some to mean one of these[0]. Which is very different in
           | size to a ten pin bowling ball.
           | 
           | [0]https://i.ebayimg.com/images/g/tRIAAOSwJddfCxXt/s-l1600.jp
           | g
        
             | mattowen_uk wrote:
             | As a Brit, my first thought for 'bowling ball' would be
             | lawn bowls. But then I'm Gen-X, maybe for British
             | younglings it's different?
        
           | teknopaul wrote:
           | There is a whole nuther type of bowling in the UK, played on
           | grass, no pins, you aim to get your balls closest to a jack.
        
             | isaacimagine wrote:
             | Is that Bocci Ball?
        
               | vidarh wrote:
               | A variant:
               | 
               | https://en.wikipedia.org/wiki/Bowls
        
             | elevaet wrote:
             | In the future our descendents will play galactic boules,
             | testing who can place the celestial body in the closest
             | orbit to the black hole
        
             | rich_sasha wrote:
             | One of the deadliest sports too IIRC, as in, highest chance
             | of dying while playing.
             | 
             | Less to do with the dangerous action and more with the 80+
             | average player age, but still.
        
       | tejtm wrote:
       | A previous thread https://news.ycombinator.com/item?id=23132488
       | 
       | I still like to think if it existed it could be our ticket out of
       | the solar system.
       | 
       | (or a braking system for reentering if we ever made it that far)
        
       | ianai wrote:
       | "This scenario could be confirmed through annihilation signals
       | from the dark matter microhalo around the PBH."
       | 
       | Wouldn't that require locating a mirror behind the PBH and
       | bouncing signals back off of it?
        
         | malfist wrote:
         | No, just like you can slingshot around planets, blackholes are
         | massive enough they can do that to light and other matter. It's
         | the primary reason we can "see" them.
        
         | PaulHoule wrote:
         | No you might see gamma rays coming from it.
        
       | sabujp wrote:
       | there's a 1:1 scale picture of the black hole fig 1:
       | https://arxiv.org/pdf/1909.11090.pdf
        
         | ycuser2 wrote:
         | I want to touch it.
        
           | klyrs wrote:
           | I'd rather hit it with a baseball bat, personally...
        
           | bgandrew wrote:
           | and when you close to it it's almost impossible to resist.
        
             | dole wrote:
             | "when you stare into the abyss..."
        
         | ISL wrote:
         | It is one of my most-favorite figures in a physics paper. I'm
         | still bummed that PRL made them remove it in the final version.
        
           | Baeocystin wrote:
           | What, really? Why? It's one of my go-to examples of clear,
           | impactful data presentation.
        
         | rob74 wrote:
         | More precisely, a black hole five times as massive as the
         | Earth. And it fits on a page. I think I have to print that out
         | and pin it to a wall somewhere...
        
           | tinco wrote:
           | At what range would the gravity differential kill you? Would
           | you be able to see it before it kills you? If it was close to
           | the sun we should be seeing some kind of halo around it due
           | to gravitational lensing right?
           | 
           | edit: ok maybe we'd need it to be between us and the sun for
           | that to work, the lensing would be that of other stars I
           | guess. I suppose the important question is, since it's
           | relatively close to us, would it deform space hard enough for
           | the gravitational lensing to be noticeable at such close
           | proximity.
           | 
           | edit2: more train of thought, just because it's fun, I
           | suppose since it's so small and the gravity relatively weak
           | (i.e. not as strong as some huge stars or galaxies) any halo
           | or distortion would not extend more than a couple meter,
           | which wouldn't be noticeable from our distance, right?
        
             | TrainedMonkey wrote:
             | As usual the answer is - it depends, but we could estimate
             | forces in question. Assuming my math is correct, at 67
             | kilometers getting 1 meter closer will results in
             | gravitational pull difference of 137kg. At 40 kilometers,
             | this number increases to ~623kg. I am assuming bad things
             | will happen somewhere between those two ranges.
             | 
             | F = G * (m1 * m2) / r^2 . G = 6.674 / 10^11 (m^3 / (kg *
             | s^2)) | m1 = 5 * 5.972 * 10^24 kg | m2 = 100 kg
             | 
             | Only r in the equation above is not a constant, so we can
             | compute F(r) - F(r+1) to get a difference in force that
             | being 1 meter closer to the black hole would make at a
             | distance r. Basically, this is the difference between how
             | hard your toes would be pulled down vs your heard if you
             | curl into a ball.                 Distance Force
             | Force + 1      Diff in kg       1        1.99286E+17
             | 4.98214E+16    1.49464E+16       1000     1.99286E+11
             | 1.98888E+11    39797421.92       10000    1992856400
             | 1992457888     39851.15023       20000    498214100
             | 498164282.3    4981.767364       30000    221428488.9
             | 221413727.7    1476.11612       40000    124553525
             | 124547297.6    622.744272       50000    79714256
             | 79711067.53    318.8474585       60000    55357122.22
             | 55355277.03    184.5191277       70000    40670538.78
             | 40669376.79    116.1990494
        
               | spfzero wrote:
               | Before you got very far into this it would be really hard
               | to stay curled up in a ball.
        
             | ebcoajssjofb wrote:
             | I believe that the Roche limit would be roughly the same as
             | it is on earth. However, the gravity constant would be the
             | same. So for something as massive as a person, you should
             | not experience any destructive forces until you reached
             | extremely close to the object. Probably measured in a
             | handful of miles or less.
        
         | pwned1 wrote:
         | How far from this black hole would the event horizon be?
        
           | danudey wrote:
           | Worth noting: despite the fact that this black hole would
           | have an event horizon 4.5 cm in diameter, that doesn't mean
           | you could get anywhere near it or put it in a box or
           | anything.
        
           | triclops200 wrote:
           | That is the event horizon: when discussing a black hole's
           | "size", you're discussing the event horizon.
        
           | simiones wrote:
           | In the current theory of GR (which predicts the existence of
           | black holes), black holes themselves are point singularities
           | - so the only meaning for "size" is the event horizon.
           | 
           | Note that physicists don't believe this 0-size point is
           | actually correct - the expectation is that a theory of
           | quantum gravity would predict some fixed size for the black
           | hole, one that also prevents the infinities inherent in the
           | GR description of black holes.
        
             | Causality1 wrote:
             | Not quite. Point singularities can't spin, and since a
             | black hole with no spin as about as possible as real mass
             | with a temperature of absolute zero, every black hole we're
             | ever likely to observe is actually a ringularity or other
             | two-dimensional configuration.
        
               | heavenlyblue wrote:
               | What does it mean "to spin" in this case?
        
               | renewiltord wrote:
               | It means the black hole has angular momentum, which is
               | detectable due to the resultant frame dragging (effect of
               | the spinning on the spacetime around it) and presumably
               | also due to the flattening of the sphere of the event
               | horizon.
        
               | sli wrote:
               | Thanks for this comment, it was enlightening. I'd never
               | much thought about this because physics is really not my
               | forte, but after a few minutes of thinking about it, it's
               | really intuitive why a point singularity can't spin. I
               | can't _explain_ it in any properly rigorous or technical
               | way, but it makes no sense that someone could (by
               | convention, of course) designate a  "front" and "rear" to
               | a mass with zero length in every direction.
        
               | [deleted]
        
             | nkoren wrote:
             | As I understand it, the fact that black holes are rotating
             | precludes them from actually being a point singularity --
             | "rotation" having no meaning for a non-dimensional point.
             | So they need to have some kind of disk or ring structure
             | (still infinitely thin, however). (Note: I'm not a
             | physicist, could be completely wrong).
        
         | karmicthreat wrote:
         | So small, can I make a ball peen hammer out of it and be the...
         | lesser Thor?
        
           | rob74 wrote:
           | If you can lift it, er... before it absorbs you, then you
           | must already have supernatural powers, so you can join the
           | Norse gods.
        
             | karmicthreat wrote:
             | And absorbed by black hole would pretty memorable at my
             | memorial. Its win-win.
        
               | danudey wrote:
               | Probably the only way to die that would also result in
               | you outliving everyone you ever knew.
        
           | [deleted]
        
         | api wrote:
         | Go lasso that horse and ride it to the stars!
         | 
         | https://en.wikipedia.org/wiki/Black_hole_starship
        
           | lovemenot wrote:
           | Halo Drive: Fire a laser around the Halo and get more energy
           | reflected back than you put in.
           | 
           | https://www.youtube.com/watch?v=rFqL9CkNxXw&t=2s
        
         | magpi3 wrote:
         | Kind of cute. Immediately reminded me of this (for you Beatles
         | fans out there).
         | 
         | http://www.westfieldcomics.com/blog/wp-content/uploads/2018/...
        
           | atkailash wrote:
           | I want this comic so bad. Hard to find though
        
           | gwbas1c wrote:
           | I used to read that to my daughter and make all the voices
           | from the movie.
           | 
           | It's a great kids' book.
        
         | munchler wrote:
         | And it's oddly terrifying.
        
           | danudey wrote:
           | One of these things intersecting with Earth would be an
           | interesting way for humanity to end.
           | 
           | The real question is, with the warping of space-time, how
           | long would it take for us to perceive the end? Would it seem
           | like the black hole started moving incredibly slowly, or
           | would our planet start getting torn apart before then?
        
           | lvs wrote:
           | A very large black hole would have a hard time sneaking up on
           | me, but one the size of a bowling ball on the other hand...
        
         | 50 wrote:
         | Einstein: "Time and space are not conditions in which we live,
         | but modes by which we think. Physical concepts are free
         | creations of the human mind, and are not, however it may seem,
         | determined by the external world."
         | 
         | Paul Brunton: "The most valuable metaphysical fruit of the
         | quantum theory is its finding that the processes of the
         | universe which occur in space and time, emanate from what is
         | fundamentally not in space and time."
         | 
         | Nisargadatta Maharaj: "In reality, time and space exist in you.
         | You do not exist in them."
        
         | [deleted]
        
         | paulpauper wrote:
         | rip my ink cartridge trying to print that out
        
           | cheschire wrote:
           | It would be a funny hack to try to trick a printer with
           | malformed content to over-print that section of paper a
           | multitude of times.
        
             | kragen wrote:
             | This is absolutely something you can do with ASCII dot-
             | matrix printers, and it's not even malformed! It was common
             | to end a line with a CR rather than a CRLF in order to
             | overstrike some characters three times for bold, or
             | overstrike them with _ for underlining; somewhat less
             | common was to overstrike several different characters to
             | get a solid block (such as 0, #, and *). (Accented
             | characters were likewise achieved by overstriking `, ', and
             | ~, but usually using backspace rather than CR.) With a
             | normal amount of ink on the ribbon, you would punch through
             | the paper after less than ten overstrikes.
             | 
             | I understand that line printers (those that printed a line
             | at a time rather than a character at a time) also supported
             | overstrike sequences, but I never punched through the paper
             | on one. Likewise, presumably the same approach would work
             | with a daisy-wheel or typeball printer, but I can't
             | testify.
        
         | rwmj wrote:
         | Wouldn't there be life-ending amounts of Hawking radiation
         | coming from it? In other words, not a black circle :-)
        
           | ninkendo wrote:
           | From the PDF:
           | 
           | > On its own, a PBH of mass 5M[?] has a Hawking temperature
           | of 0.004 K, making it colder than the CMB, and since it's
           | radius is rBH ~ 5 cm, the power radiated by the PBH alone is
           | minuscule.
           | 
           | Also wolfram alpha says it would take 7e52 years to evaporate
           | from hawking radiation, so it's quite stable: https://www.wol
           | framalpha.com/input/?i=%285120*pi*G%5E2*%285+...
        
             | addaon wrote:
             | My understanding is that a black hole large enough to be
             | colder than the CMB will grow (gain more mass energy by
             | absorbing CMB photons, even in "empty" space, than it loses
             | by Hawking radiation), continuing to cool.
             | 
             | I assume but am not sure that the cooling of an already-
             | sufficiently-cold black hole in this manner is slower than
             | the cooling of the CMB itself due to expansion, so that at
             | some point as the universe winds down it will begin to
             | shrink again and eventually evaporate, but definitely over
             | the lifetime of any star we see a black hole this side
             | won't radiate significantly, or evaporate.
        
           | kragen wrote:
           | I did the figures a while back on what it would take to build
           | a Hawking-radiation-basedv mass-to-energy power plant (in
           | orbit, obviously), and I was _astounded_ at how tiny the
           | black holes have to be in order to get appreciable power
           | output from them.
        
         | gwbas1c wrote:
         | > FIG. 1. Exact scale (1:1) illustration of a 5M[?] PBH. Note
         | that a 10M[?] PBH is roughly the size of a ten pin bowling
         | ball.
        
         | phkahler wrote:
         | Nibbler would be proud.
        
       | 7373737373 wrote:
       | It would be amazing if something like this was a necessary factor
       | for the emergence of life in a solar system
        
         | marstall wrote:
         | interesting ... in what way?
        
           | bobsterman wrote:
           | It would mean the great filter could be behind us.
           | 
           | I'm not sure how a black hole would help create life, an
           | inbound Planet 9 would certainly be a hinderince to life's
           | existence though.
        
             | 7373737373 wrote:
             | Maybe it doesn't help create life, but prevents its
             | destruction, like Jupiter protects Earth from asteroids, or
             | has another shielding effect.
        
               | thatswrong0 wrote:
               | Iirc it's a bit of a myth that Jupiter protects the
               | Earth. It does some sometimes capture objects and send
               | them away from us, but it also sometimes hurls objects
               | straight towards us
        
       | pavlov wrote:
       | If there were a black hole in the solar system, is there
       | something interesting we could do with it apart from studying?
        
         | DrBazza wrote:
         | You could drop matter in there and get 40% of the mass back as
         | energy. Not that it's useful energy for us at the moment, but a
         | more advanced civilization could probably learn how to ensure
         | most comes out as polar jets and harvest that somehow.
         | 
         | https://web.stanford.edu/~wilkinsd/docs/posters/BlackHolesPo...
        
           | mrfusion wrote:
           | Easier to build a Dyson sphere around it than the sun.
        
             | dnautics wrote:
             | or some sort of roman war bird.
        
               | jsjohnst wrote:
               | > roman war bird
               | 
               | Roman? Did you maybe mean Romulan?
        
             | wongarsu wrote:
             | A Dyson sphere around a body with 4.5cm radius sounds quite
             | manageable. I wonder how small a Dyson sphere could be with
             | current materials. I imagine it's mostly limited by
             | gravitational forces at that point?
        
               | [deleted]
        
               | [deleted]
        
           | adrusi wrote:
           | I think you can also extract energy from it by slingshoting
           | an object off the black hole to draw energy from the black
           | hole's spin.
        
           | p1mrx wrote:
           | Would it be useful to have a large power plant at the edge of
           | the solar system? There's not much out there to power.
        
           | darepublic wrote:
           | You could use it to execute prisoners perhaps. Death by
           | blackhole
        
             | teknopaul wrote:
             | The CO2 cost of getting the prisoners from the prison
             | outside earth's gravity well and on their way to planet 9
             | seems prohibitive.
             | 
             | One more reason for rehabilitation as prison policy.
        
         | Asraelite wrote:
         | Maybe more easily study the effects of relativity by sending a
         | spacecraft to it?
         | 
         | Sending a spacecraft out hundreds of AU is doable with current
         | technology, but it would take many decades.
        
         | Qem wrote:
         | It would be a cheap source of additional speed for spacecraft
         | in the outer solar system, by means of powered gravity assists.
         | See https://en.wikipedia.org/wiki/Oberth_effect
        
           | KineticLensman wrote:
           | > additional speed for spacecraft
           | 
           | Extreme rip-your-craft-to-bits tidal effects [0] would make
           | life exciting. Also, see 'Neutron Star' by Larry Niven for a
           | description of such a manoeuvre, albeit a less dangerous one
           | than than sling-shoting a black Hole because of the larger
           | size of the neutron star.
           | 
           | [0] https://en.wikipedia.org/wiki/Tidal_force
        
             | piyh wrote:
             | If you were really precise, you could tune your assist
             | based on distance. You could get a pretty sick change in
             | angular momentum relative to the sun since you wouldn't
             | have to worry about hitting atmosphere or terrain. If
             | you're far away you feel nothing, if you're too close you
             | join the singularity, and everything in between is gravy.
             | 
             | Imagine getting a 1970's style planetary alignment, going
             | with a Voyager style slingshot and your final assist is a
             | couple thousand miles away from a black hole.
        
         | ordu wrote:
         | One of aphorisms of Kozma Prutkov[1] was this: "Throwing
         | pebbles into the water, look at the ripples they form on the
         | surface. Otherwise this activity will be an empty amusement."
         | 
         | I believe, that throwing pebbles into black hole, and watching
         | the ripples they form would be very amusing.
         | 
         | [1] https://en.wikipedia.org/wiki/Kozma_Prutkov
        
         | 95th wrote:
         | If it can cause some good amount of time dilation, then send
         | people into future by having them orbit around it.
        
         | corty wrote:
         | Depending on the size of it, harvest energy from its Hawking
         | radiation.
        
           | evanb wrote:
           | See also https://en.wikipedia.org/wiki/Penrose_process
        
           | mnw21cam wrote:
           | As stated in the paper, the amount of Hawking radiation
           | coming off it is absolutely miniscule. The black-body
           | temperature of the emissions is much much lower than the
           | temperature if you just look into space.
        
           | rbanffy wrote:
           | That doesn't look like a lot of energy, but we could enclose
           | it in a dishwasher sized box, which is kind of a funny
           | concept.
           | 
           | As for the size, the paper has a 1:1 scale drawing of it.
        
             | simonh wrote:
             | A box made of any known material that close in would get
             | ripped to shreds by tidal forces.
        
             | Thiez wrote:
             | It would have to be a pretty sturdy box. Even if such a box
             | could be built, it would be tricky to keep the black hole
             | in the exact center.
        
               | dantillberg wrote:
               | I would like to upvote this 1000 times to underline
               | "pretty sturdy box." It can be a particularly amusing
               | exercise to do the math for things like this, calculate
               | the gravitational forces involved, and compare the
               | results to e.g. the strength of steel.
        
               | lanna wrote:
               | The net gravitational force is zero:
               | https://en.wikipedia.org/wiki/Shell_theorem
        
               | BoiledCabbage wrote:
               | I don't see how Shell theory applies here. The box
               | wouldn't be inside the blackhole, it'd be outside it.
               | 
               | If the box were a perfect sphere then yes it would have
               | zero net gravitational pull on the black hole, but the
               | black hole would still have an extremely strong pull on
               | it. And that's still assuming it's perfectly centered
               | which would be almost impossible to maintain.
        
               | lanna wrote:
               | > but the black hole would still have an extremely strong
               | pull on it
               | 
               | No, it would not. Newton's third law: if an object has
               | zero net pull on the black hole, the black hole also has
               | to have a zero net pull on the object. The shell theorem
               | is more general than you are assuming: it doesn't matter
               | if the heavier object is inside or outside, the
               | surrounding object doesn't need to be spherical (it can
               | be any shape as long as it fully envelopes the black
               | hole) and the black hole doesn't need to be centered. I
               | know it is a counter-intuitive result, but it can be
               | easily proven with calculus.
               | 
               | See for instance this sentence about Dyson shells: "Such
               | a shell would have no net gravitational interaction with
               | its englobed star (see shell theorem)"
               | https://en.wikipedia.org/wiki/Dyson_sphere#Dyson_shell
               | 
               | Edit: Related, what is bigger? The gravitational force
               | the Moon exerts on Earth or the gravitational force the
               | Earth exerts on the Moon? Veritasium has a nice video
               | explaining the answer:
               | https://www.youtube.com/watch?v=8bTdMmNZm2M
        
               | MauranKilom wrote:
               | I also exert zero net pull when I tear open a package of
               | snacks. Yet the package is destroyed in the process.
        
               | hansvm wrote:
               | The net pull on the _center of mass_ of a shell would be
               | zero. The pull on any local region would still exist
               | though. All that the shell theorem says is that the sum
               | of all those local directional forces is zero.
               | 
               | Reading the exact passage you quoted, "the compressive
               | strength of the material forming the sphere would have to
               | be immense to prevent implosion due to the star's
               | gravity."
        
               | aj3 wrote:
               | You're wrong despite your confidence. Cage will have zero
               | net gravitational effect on the black hole (assuming the
               | cage is perfectly symmetrical), but that just means it
               | won't by itself exert gravitational force on the black
               | hole (and vice versa) causing it to move in any
               | direction.
               | 
               | Cage's material will still get attracted to the black
               | hole and close to the event horizon structural forces
               | exerted by gravity will be hard / impossible to
               | counteract with current materials:
               | https://en.wikipedia.org/wiki/Strength_of_materials
        
               | kragen wrote:
               | You'd probably want to use active control systems to move
               | the box around to follow the black hole, with rockets
               | when necessary. However, by lanna's reasoning below from
               | the shell theorem, if the box were a spherical shell, it
               | wouldn't be an unstable equilibrium like a ringworld, so
               | your active control system could be pretty sluggish.
               | 
               | Such a box can definitely be built if you make it much
               | larger than a dishwasher.
        
         | lvs wrote:
         | Finally solves the problem of what to do with cable news
         | pundits.
        
       | sgarrity wrote:
       | A similar concept is explored in the sci-fi novel Hole, by
       | Brandon Q. Morris.
       | 
       | I'd give it a 3/5 - fun read, not a classic.
       | 
       | https://www.goodreads.com/book/show/43566986-the-hole
        
       | smoyer wrote:
       | Wouldn't the capture of a PBH by Sol be more like forming a
       | binary system with a large distance between the two bodies?
       | Intuitively it feels like capturing something with that much mass
       | would result in our sun "wobbling" with respect to its expected
       | path through the Milky Way.
        
         | corty wrote:
         | The Sun also wobbles because of the planets. Primordial black
         | holes are (depending on theory of creation and path in later
         | life) smaller than stellar black holes, maybe far smaller, in
         | the order of lunar mass or even particle magnitude mass. So the
         | wobble from a PBH will be overshadowed by that of Jupiter and
         | the other planets. The sun doing a wobble of more than 30AU
         | (what you would expect for a 1 solar mass PBH somewhere past
         | neptune) with respect to the galaxy would have been detected
         | ages ago, even the parallax measurements of yore are precise
         | enough for that. From that fact, the magnitude of disturbance
         | in other planets' and TNOs' orbits and the absence of
         | gravitational lensing observations, our PBH should be in the
         | order of planetary masses.
        
           | ben_w wrote:
           | > particle magnitude mass
           | 
           | IIRC, that small would evaporate almost instantly[0]. I think
           | you're thinking of particle _radius_ , which would be
           | mountain mass[1].
           | 
           | [0] this formula says less than a plank time and is therefore
           | wrong: https://www.wolframalpha.com/input/?i=5120p%28G%29%5E2
           | %28mas...
           | 
           | [1] https://www.wolframalpha.com/input/?i=0.1nm*c%5E2%2F2G
        
             | corty wrote:
             | Yes, if it would have particle mass at the time of the big
             | bang it would have evaporated long ago. But all small black
             | holes do evaporate (the smaller, the faster), so if PBHs
             | were e.g. car-mass at the big bang, they could just be the
             | right size for particle-masses right now (and gone in a few
             | years).
        
               | ben_w wrote:
               | 1.7e11 kg is a pretty big car: https://www.wolframalpha.c
               | om/input/?i=%28%28%28h-bar%29%28c%...
               | 
               | And again, the predicted lifespan of a proton-mass black
               | hole is _significantly less than a plank time_ , which in
               | turn is therefore a sign that -- one way another -- the
               | maths doesn't actually apply to that situation in the
               | first place.
        
               | scatters wrote:
               | The minimum mass for a black hole is the Planck mass,
               | approximately 21 micrograms. Such a black hole is a
               | Planck length in radius, has a Hawking temperature of the
               | Planck temperature, and will decay in Planck time,
               | releasing Planck energy of 1.9 GJ (about the same as a
               | tank of gasoline).
        
         | 0xTJ wrote:
         | It's not any different (at large distance) than any other
         | object of the same mass.
        
         | sneak wrote:
         | I think it depends on the mass of the object so captured? AIUI
         | the mass of planet 9/PBH is estimated at 5-10 earth masses,
         | which at that distance would not wobble sol (330,000 earth
         | masses) very much.
         | 
         | Not all black holes have to be big; a 10 earth mass black hole
         | would be quite tiny.
        
           | Thiez wrote:
           | The paper actually depicts a 5 earth mass black hole at 1:1
           | scale, if you are curious.
        
           | wayoutthere wrote:
           | Black holes in general are much smaller than people think.
           | The event horizon of a 10 solar mass black hole is only
           | something like 12 km across. That's basically the head of a
           | pin at space scale.
           | 
           | Supermassive black holes are on a whole different level
           | however.
        
             | lrem wrote:
             | The most mind-boggling bit is the inverse relation between
             | mass and density. Quoting[1]:
             | 
             | > A black hole of 387 million solar masses would have the
             | average density of water and would be comparable to a giant
             | water balloon extending from the sun almost to Jupiter.
             | 
             | [1]: https://arxiv.org/abs/1312.0340
        
               | piyh wrote:
               | A sphere of water extending to the orbit of Jupiter is a
               | LOT of water.
        
       | shadowgovt wrote:
       | I sort of love this train of thought because it's simultaneously
       | not impossible and hilariously hands-up shruggy about the problem
       | of why we can't find planet 9.
       | 
       | "What if the reason the only evidence of planet 9 we have is
       | gravity is that gravity is the most observable aspect of planet
       | 9" would be expert-level trolling if it weren't actual science.
       | :)
        
       | vardump wrote:
       | Should have (2019) in the title.
       | 
       | Previous discussion:
       | https://news.ycombinator.com/item?id=21078068
        
       | verytrivial wrote:
       | A [2019] on the title is justified I think.
        
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