[HN Gopher] In 1783, an English rector predicted black holes usi...
       ___________________________________________________________________
        
       In 1783, an English rector predicted black holes using classical
       mechanics
        
       Author : smusamashah
       Score  : 256 points
       Date   : 2021-10-28 13:46 UTC (9 hours ago)
        
 (HTM) web link (interestingengineering.com)
 (TXT) w3m dump (interestingengineering.com)
        
       | bokchoi wrote:
       | "An Inquiry into the Probable Parallax, and Magnitude of the
       | Fixed Stars, from the Quantity of Light Which They Afford us, and
       | the Particular Circumstances of Their Situation."
       | 
       | Paper titles were pretty awesome back in the day.
        
         | HeckFeck wrote:
         | Not to menion lacking any pretention. It states the subject
         | precisely. An honest straightforwardness with nothing to hide.
        
           | delecti wrote:
           | I don't think paper titles are usually pretentious, they're
           | just dense with jargon to be terse. They're impenetrable if
           | you don't know the jargon, but I don't agree that makes it
           | pretentious. I don't think it's possible for a journal paper
           | in an established field to be simultaneously precise,
           | accessible, and unprecedented enough to be worth publishing.
        
             | [deleted]
        
           | whatshisface wrote:
           | "Tribological behavior and wear mechanism of Ti/MoS2 films
           | deposited on plasma nitrided CF170 steel sliding against
           | different mating materials"
           | 
           | "Which Milky Way masses are consistent with the slightly
           | declining 5-25 kpc rotation curve?"
           | 
           | "Characterization of systematic error in Advanced LIGO
           | calibration in the second half of O3"
           | 
           | Randomly found on arXiv and ADS. I'm not seeing a lot of
           | pretention, dishonesty or imprecision.
        
             | thebooktocome wrote:
             | Drift into machine learning and you'll soon find content-
             | free meme titles like "Building Rome in a day" or
             | "YOLO9000: Better, Faster, Stronger".
        
               | tux3 wrote:
               | Snowclones are all you need!
        
           | melony wrote:
           | It is easy to when there are fewer academics around. Higher
           | education was a privilege, tenureship was not yet much of a
           | thing.
        
           | xor99 wrote:
           | I think the exact opposite, its unnecessarily embellished and
           | ornate. Makes the whole thing sound so whimsical as to not be
           | worth reading. I don't need a fairytale title to be
           | interested in the content.
        
             | edflsafoiewq wrote:
             | "Who Turned Out the Lights?: Probable Parallax and the
             | Magnitude of the Fixed Stars"
        
               | coliveira wrote:
               | This is the typical title a computer scientist would
               | create.
        
               | labster wrote:
               | Gravity Considered Harmful
        
               | IncRnd wrote:
               | I'm going to title my next hack as Lightsout! See
               | lightsout.com.
        
             | fidesomnes wrote:
             | found the redditor.
        
           | rightbyte wrote:
           | Try read Robinson Crusoe. The chapters titles are like "A
           | ship comes to the rescue - X, Y and Z also happens".
           | 
           | E.g.
           | 
           | "Chapter XXVI Robinson Discovers Himself to the English
           | Captain--Assists Him in Reducing His Mutinous Crew, Who
           | Submit to Him"
        
             | GreenWatermelon wrote:
             | LMAO spoilers in the chapter title.
        
           | Phiwise_ wrote:
           | A massive proportion of all titles were this way. Take a look
           | at fictional novels or political pamphlets some time. They're
           | just three sentence long summaries and they're all
           | delightful.
        
         | vecter wrote:
         | What do you think about "On the Electrodynamics of Moving
         | Bodies"?
        
         | easytiger wrote:
         | I studied extensively historical scientific original documents
         | for several years and I tend to find my self writing very much
         | in that style when I do anything that requires significant
         | exposition.
         | 
         | Even if it's something boring like remediation of a building
         | structural issue.
        
       | sbayona573 wrote:
       | Read "English rectum predicted black holes" for a sec
        
       | johnklos wrote:
       | Not about the article's content, but about the
       | interestingengineering.com web site: it sucks. It consumes 100%
       | CPU, tries to play multiple videos, and takes hundreds of
       | megabytes of memory.
       | 
       | No, thank you.
        
       | bsenftner wrote:
       | I can see an interesting and controversial entertainment series
       | based on an alternative history retelling of Einstein, in his
       | role as patent clerk, reading John Michell's work and that is the
       | seed which inspires Relativistic Theory. Tie the work of Mitchell
       | and his world to Einstein's. The juxtapositions of time and
       | culture, British 1770's versus Germany's early 20th century would
       | be quite entertaining on their own.
        
       | nyc111 wrote:
       | This must be the same John Michell who gave Henry Cavendish his
       | pendulum to measure the density of the Earth :
       | 
       | ,,Many years ago, the late Rev. John Michell, of this Society,
       | contrived a method of determining the density of the earth, by
       | rendering sensible the attraction of small quantities of matter;
       | but, as he was engaged in other pursuits he did not complete the
       | apparatus till a short time before his death, and did not live to
       | make any experiments with it. After his death, the apparatus came
       | to the Rev. Francis John Hyde Wollaston, Jacksonian Professor at
       | Cambridge, who, not having conveniences for making experiments
       | with it, in, the manner he could wish, was so good as to give it
       | to me.,,[1]
       | 
       | [1]
       | https://royalsocietypublishing.org/doi/10.1098/rstl.1798.002...
        
       | akvashi wrote:
       | Pretty cool that this black mathematician is getting recognition
       | now!
        
         | sillysaurusx wrote:
         | Whoa, he is indeed black:
         | https://en.wikipedia.org/wiki/John_Michell
         | 
         | > There is no surviving portrait of Michell; he is said to have
         | been "a little short Man, of a black Complexion, and fat".
         | 
         | Awesome!
        
           | whimsicalism wrote:
           | Don't know that we can really read contemporary understanding
           | of the word black into this quote. I think given the context
           | of England at the time, as well as the description of his
           | family background, it is very unlikely that he was black.
        
             | tarkin2 wrote:
             | Between statistics and the description of the man, I find
             | it difficult to be as sure as you are.
        
               | whimsicalism wrote:
               | It wasn't until 1786 that the British government first
               | employed one of the (relatively few) black men in a minor
               | role, yet I'm supposed to believe based on a contemporary
               | reading of this text (before "black" was nearly widely
               | used to mean what it does today) that this (at least 3rd
               | generation) British professor at Cambridge was black?
               | 
               | Highly doubtful. I'm not sure what statistics you are
               | basing off of.
               | 
               | Here's a more reputable source than me:
               | 
               | > An account apparently purports him to be "a little
               | short man, of black complexion, and fat", though we have
               | been unable to locate any specific contemporary source.
               | However, such words even if used do not necessarily
               | indicate he is of black-African descent, as the term can
               | refer also to Spaniards, Italians, Greeks, Arabs,
               | Ethiopians, or Jews. Jonathan Swift uses the expression
               | "a tall, thin, very black man, like a Spaniard or Jew."
               | In the given context it is almost certainly intended as a
               | slight against Michell by painting him as something he
               | was likely not. The Royal Society famously refused
               | election to Jamaican scientist Francis Williams
               | (1702-1770), on account of his complexion, and it almost
               | certainly would not have elected a black man as early as
               | 1760. Moses Da Costa became the first Jew elected to the
               | Society in 1736, and a second was elected in 1747; the
               | first female was not elected until 1945. The earliest
               | black individual we could determine that attended Queens
               | College, Cambridge was an American, Alexander Crummell,
               | who graduated 1853.
        
               | tablespoon wrote:
               | > Here's a more reputable source than me:
               | 
               | Care to give a citation?
        
               | whimsicalism wrote:
               | Okay, on second glance I appear to give undue weight to
               | things with footnotes.
               | https://www.nndb.com/people/607/000107286/
               | 
               | The reasoning in general makes sense, and the evidence
               | they bring to bear re: Swift is somewhat convincing to
               | me.
        
               | tablespoon wrote:
               | The main text of that entry appears to be a slightly-
               | reworked version of the public-domain 1911 Encyclopaedia
               | Britannica, but the Google Books image doesn't have the
               | footnote you quoted. I'm guessing it's original to that
               | NNDB site, which probably started with the encyclopedia
               | like Wikipedia did.
               | 
               | https://www.google.com/books/edition/The_Encyclopaedia_Br
               | ita...
        
             | sillysaurusx wrote:
             | I was wondering about that. Is there a way to verify? It
             | would be really interesting if he were, and it would be
             | equally interesting if there was some way to show
             | conclusively that he wasn't.
             | 
             | It's a tricky subject, but it must be possible to approach
             | it with scientific curiosity and clinical detachment...
             | 
             | What did a black complexion mean back then?
        
               | whimsicalism wrote:
               | > What did a black complexion mean back then?
               | 
               | Black people were very rare in Britain at the time, this
               | term was used very broadly for people like Italians,
               | Iberian descent, jews, etc.
               | 
               | I doubt there is any way to show "conclusively" that he
               | wasn't, but I would say the evidence is pretty strongly
               | against. Someone I quoted in another reply provide more
               | reasoning on what that evidence is.
        
               | tablespoon wrote:
               | A good place to start would be:
               | 
               | 1. How would an English clergyman in the first half of
               | the 1700s typically describe someone who was of African
               | descent? This appears to be the guy who wrote the
               | description:
               | https://en.wikipedia.org/wiki/William_Cole_(antiquary).
               | My intuition is that the _wouldn 't_ just use "black,"
               | but would probably use something more specific, like
               | "African" or "negro."
               | 
               | 2. At that time, would a "black" person (in the modern
               | sense) have been accepted into the kinds of positions
               | John Michell had (like being a member of the Royal
               | Society), with so little comment on his race?
        
               | [deleted]
        
               | monknomo wrote:
               | dark hair, brown eyes and and something around a tan
               | would probably constitute "black"
               | 
               | Swedes were described as swarthy by Ben Franklin, so the
               | conception of what black and swarthy are don't really
               | line up to the modern meanings
        
           | tablespoon wrote:
           | > Whoa, he is indeed black:
           | https://en.wikipedia.org/wiki/John_Michell
           | 
           | >> There is no surviving portrait of Michell; he is said to
           | have been "a little short Man, of a black Complexion, and
           | fat".
           | 
           | Only if you assume that describing someone as having a "black
           | Complexion" sometime between 1731-1764 has the same meaning
           | as if an American used phrase in 2021 (e.g. having Sub-
           | Saharan African ancestry). I think there's a fairly high
           | likelihood that assumption is wrong.
           | 
           | The wikipedia cite identifies the source as "Cole MSS XXXIII,
           | 156, British Library", which appears to be this http://search
           | archives.bl.uk/primo_library/libweb/action/disp...
           | 
           | > 43. Account of the Woodwardian professors of fossils, at
           | Cambridge, viz. Dr. Conyers Middleton, Dr. Charles Mason, Mr.
           | John Michel, and Dr. Ogden, 1731-1764. pp. 156, 157.
        
           | teakettle42 wrote:
           | The meaning of "black complexion" at the time was simply
           | "dark hair and eyes".
        
             | sillysaurusx wrote:
             | Very interesting, thanks.
        
         | bunabhucan wrote:
         | This [1] has a good description of a jamacian student in Queens
         | College in the 1700s.
         | 
         | [1] https://www.blackpast.org/global-african-history/people-
         | glob...
        
         | [deleted]
        
       | marcodiego wrote:
       | Speed of light can be calculated using only classical mechanics
       | and experiments. Same for gravity and gravitational constant.
       | Predicting relativistic effects of high speeds and huge masses
       | that is another thing.
        
       | jagrsw wrote:
       | Isn't it a bit like getting to correct answer by incorrect
       | reasoning? I was thinking that knowledge of how space curves in
       | presence of high energies/masses and time/length dilation
       | concepts are necessary to come to the conclusion that light will
       | be slowed down beyond its speed in certain circumstances?
       | 
       | Maybe a bit similar to e.g. Gordiano Bruno's claim that stars are
       | similar to our sun, and there are planets around them, not on the
       | basis of observations and data analysis but b/c of some
       | relatively unrelated to astronomy philosophical reasoning.
       | 
       | Also, alchemy :) (some concepts were right)
        
         | zinclozenge wrote:
         | Not really. You can predict gravitational light bending with
         | newtonian physics and a corpuscular approach to light. It gives
         | you half the value of the relativistic value because the
         | assumption is that light as a wave is unaffected by gravity due
         | to no gravity-EM coupling.
        
         | jetrink wrote:
         | I don't think the reasoning is incorrect. It went like this:
         | 
         | 1. What if the motion of light is influenced by gravity, as
         | suggested by Newton's theory of corpuscles? (It is, just not in
         | the way he thought.)
         | 
         | 2. And what if there are supermassive, super-dense objects?
         | (Turns out there are.)
         | 
         | 3. Then light would be unable to escape such objects.
         | 
         | That's pretty remarkable in my opinion, and no more "wrong" in
         | its way than Newton's theory of gravity which was also correct
         | for the wrong reasons.
        
           | [deleted]
        
         | Moodles wrote:
         | I suppose it's impossible to ever really know what the true
         | nature of reality is. We only have models which have an
         | accuracy of x%. It's quite possible, dare I say likely, that
         | e.g. quantum mechanics as we understand it today is just an
         | approximate model of how things really are. I suspect that the
         | fundamental nature of reality is probably at a scale too small
         | to be testable anyway.
        
         | AltoidsTin wrote:
         | > incorrect reasoning
         | 
         | If you haven't already, check out the Demarcation Problem and
         | work by Feyeraband. Physics is such a philosophically tenuous
         | science that its theories are perpetually incorrect reasoning.
        
         | IncRnd wrote:
         | What was the incorrect reasoning?
        
           | Enginerrrd wrote:
           | I can't say for sure on this particular case, but the usual
           | reasoning is this:
           | 
           | Using Newtonian Mechanics (I'll skip the derivation.) you can
           | calculate escape velocity as follows: v = sqrt(2GM / r)
           | 
           | r is the distance to the center of mass, G is the usual
           | gravitational constant and M is the mass of the body.
           | 
           | So, now we can reason about an object whose escape velocity
           | is c.
           | 
           | c^2 = 2GM / r and rearranging a bit:
           | 
           | r* = 2GM / c^2.
           | 
           | Thus, IF we packed a mass M into the radius r*, we would have
           | a Newtonian blackhole.
           | 
           | It turns out, quite incredibly, that this r* is in perfect
           | agreement with the swarzchild radius from a non-rotating
           | blackhole calculated using general relativity. Exactly why
           | these two are in such agreement has never been explained to
           | me other than as a coincidence. But it's quite incredible
           | since usually r^3 terms pop up prior to the event horizon (at
           | the same radius) which make GR make different predictions
           | about orbits. (Such as the precession of mercury)
        
         | vanderZwan wrote:
         | > _(some concepts were right)_
         | 
         | I would expect a lot of incorrect past models of science and
         | its precursors to still be based on (mostly) correct data, so
         | bad guesses were still informed bad guesses at least.
        
         | pdabbadabba wrote:
         | We should bear in mind that, if the history of science is any
         | guide, in 250 years' time relativity will probably seem pretty
         | badly flawed as well leading some future person to criticize
         | _our_ science for  "getting to a correct answer by incorrect
         | reasoning." (If we're lucky. It might just seem wrong.) So we'd
         | do well to be charitable in crediting our predecessors'
         | achievements.
        
           | soheil wrote:
           | Completely agree. It's a textbook example of hindsight bias
           | when people cannot "unsee" the currently accepted theory
           | deemed to be "true" and fail to imagine that people in the
           | past thought just like them before the new theory came along.
           | I think it takes a good amount of marketing (eg. Einstein
           | with Relativity) to change people's mind if a new improved
           | theory is to be accepted and for majority to conform to it.
           | 
           | So let's indeed be very charitable in crediting our
           | predecessors' achievements.
        
             | mr_mitm wrote:
             | What do you mean by marketing? Einstein didn't need much
             | convincing, as he proposed experiments that would falsify
             | or confirm general relativity. The theory is also not only
             | mathematically sound but very elegant. Acutally, Hilbert
             | arrived at the same equations using a competely different,
             | more mathematical approach using the least action
             | principle, which is another good sign it was correct. But
             | the smoking gun was of course Edison's observation of
             | gravitational lensing during an eclipse.
             | 
             | But of course the topic in this subthread is special
             | relativity. And I think the speed of light being constant
             | and a maximum speed is one of the most fundamental and most
             | assured fact about the universe that we know, because it's
             | more than just some speed of some particle. It's a
             | geometric property of spacetime, a Lorentzian manifold. I
             | doubt it will ever be looked upon as some sort of horrible
             | blunder, just like no one ever thinks less of Newton just
             | because he only found an approximately correct theory. I
             | think it's foolish to doubt it just to be contrarian.
             | 
             | Could it be wrong? Sure, we look for violations of Lorentz
             | invariance all the time. But the boundaries we have on it
             | are extremely good. But if someone claims to have observed
             | superluminal speeds, I'll doubt the experimenters more than
             | I'll doubt special relativity, because of the strong priors
             | we have on it. This happened by the way a few years ago,
             | where some Italian lab claimed to have seen superluminal
             | neutrinos. Most professional physicists didn't believe it.
             | It turned out to be a faulty cable.
        
               | raattgift wrote:
               | > Edison's observation of gravitational lensing during an
               | eclipse
               | 
               | There may have been electric lights and phonographs on
               | the ships, but it was the
               | 
               | https://en.wikipedia.org/wiki/Eddington_experiment
               | 
               | and while maybe you could say it was about gravitational
               | lensing, the observatories (and Earth) was so far from
               | any possible caustic that it's better to leave it at just
               | deflection of light.
               | 
               | Here's a pop-sci treatment of the gravitational lensing
               | of our sun for astronomy -- tl;dr it involves lonnnnng
               | distance travel, more than 500 astronomical units (Pluto
               | is at ~ 30-50 au).
               | https://blogs.scientificamerican.com/observations/using-
               | the-...
        
           | joe__f wrote:
           | Your comment seems to imply that, for example, the current
           | consensus is that Newtonian gravity is 'pretty badly flawed'
           | now that we understand it to be superseded by general
           | relativity. This is not true; Newtonian gravity is considered
           | to be a very good approximate theory for low velocities and
           | field strengths.
        
           | lapetitejort wrote:
           | Relativity will probably suffer the same fate as classical
           | mechanics: true for small values of _v_. In relativity 's
           | case, the small value will probably be about 0.99999999 _c_.
        
             | tsimionescu wrote:
             | Given what we know today, it seems that it's much more
             | likely that special relativity will remain more or less as
             | we know it today (a good approximation for relatively flat
             | regions of space-time and non-accelerating bodies), and
             | that GR will be a good approximation for something like
             | large regions of space-time and huge masses (where "large
             | regions" may mean anything larger than a few Planck
             | lengths, and "huge masses" may mean anything greater than a
             | few micrograms).
        
               | raattgift wrote:
               | > non-accelerating bodies
               | 
               | Accelerated bodies in flat spacetime (Minkowski space)
               | are well-described by special relativity. One can even
               | calculate usefully in accelerated reference frames. https
               | ://en.wikipedia.org/wiki/Acceleration_(special_relativi..
               | .
               | 
               | The Unruh effect can happen in flat spacetime, for
               | example, and is a useful check on Hawking radiation (in a
               | black hole curved spacetime).
               | 
               | It's also interesting in understanding the weak
               | equivalence principle in detail; very loosely, a small-
               | mass object can rest quietly on the surface of a non-
               | compact, non-spinning, spherical mass eternally, while it
               | is at least very difficult to keep the same small-mass
               | object accelerating uniformly in flat spacetime for even
               | fairly short (compared to say the age of the universe,
               | which is hardly eternal) finite times.
        
         | soheil wrote:
         | Quantum Mechanics most likely is not the true explanation of
         | what is going on either, but it sure as hell accounts for a lot
         | of it and is why we have modern computers.
        
         | roywiggins wrote:
         | The corpuscular theory of light was one of those theories that
         | was wrong but useful. The successor wave theory was _also_
         | wrong. It may turn out that general relativity is founded on
         | incorrect reasoning ( "God does not play dice" for one), but
         | that matters much less than it being fantastically useful.
         | 
         | The basic idea- if light interacts with gravity, if you pack
         | enough mass into a region you will get a dark star- is correct.
         | It just turns out that the interaction can't be described by
         | treating light as little particles and calculating by Newton's
         | equations.
         | 
         | There's been lots of wrong-but-useful theories, like phlogiston
         | or arguably luminiferous aether:
         | 
         | https://thonyc.wordpress.com/2015/10/23/the-phlogiston-theor...
        
           | whatshisface wrote:
           | It's not founded on incorrect reasoning, which would imply a
           | logical inconsistency or error in the deductions, but it
           | could be founded on false postulates. (A postulate is like an
           | axiom except that it is held to be true in the real world, as
           | opposed to being abstractly true.)
        
             | sillysaurusx wrote:
             | That's true of all science since the beginning of science.
        
       | dav_Oz wrote:
       | The "dark star" hypothesis given a finite speed and momentum of
       | light (particle nature) combining with the escape velocity of
       | stars isn't impressive by itself.
       | 
       | But his scientific reasoning and methods very much so. He
       | carefully conjectured what could be observed e.g. binary stars in
       | amassing data points. Naturally, in a logical progression, he
       | looked for stars which behaved as if they were in a binary
       | systems but the partner i.e. "dark stars" could not been seen
       | because its mass would be so big that the finite speed of light
       | couldn't "escape". Brilliant.
       | 
       | He, also, inherited Cavendish his "torsion balance" apparatus for
       | measuring the mass of the earth for what later became the famous
       | "Cavendish experiment" yielding an accurate measurement of the
       | gravitational constant. The experimental basis for the
       | advancement into the nature of gravity.
       | 
       | Quite impressive.
       | 
       | And he did not yell about it or seemed to care about what
       | nowadays would be called the "impact factor".
       | 
       | His impact was quite of another nature.
        
         | hirundo wrote:
         | s/inherited/bequethed
        
           | groos wrote:
           | s/bequethed/bequeathed
           | 
           | :-)
        
             | tomrod wrote:
             | Not related to the discussion, but I love these verbal
             | dualities.
             | 
             | give/take
             | 
             | inherit/bequeath
             | 
             | and so forth!
             | 
             | -------
             | 
             | What fantastic reasoning! I am constantly amazed at the
             | early and current astronomers, able to work out fairly and
             | increasingly accurate cosmological views from pinpoints of
             | light.
        
               | argomo wrote:
               | Give/take duality is significant in the study of proto-
               | indo/european language. IIRC, some root words took
               | opposite meanings in their descendent languages. Some
               | have gone so far as to speculate that this suggests
               | reciprocality was an important culture expectation around
               | gift-giving in PIE society.
        
               | robocat wrote:
               | In New Zealand 'borrow' can be used to mean lend
               | (transitively).
               | 
               | 'I will borrow you that book' means I will lend it to
               | you, just to give an example of a word changing to its
               | opposite meaning.
        
               | diroussel wrote:
               | Borrow is used like this some times in working class
               | England too. But this form is frowned upon in more
               | 'educated' circles.
        
               | jacquesm wrote:
               | Same in Dutch. 'Ik leen geld van de bank. De bank leent
               | geld aan mij.'
        
               | verve_rat wrote:
               | I'm a Kiwi. I've never heard it used like that?
        
               | foldingmoney wrote:
               | likewise.
        
               | Misdicorl wrote:
               | Also super common in northern Wisconsin
        
               | patrickk wrote:
               | Perhaps because of the German influence?
               | 
               | Anecdotally, today in Germany, it's really tricky for
               | Germans with a very strong grasp of English to
               | distinguish between 'borrow' and 'lend'.
        
           | [deleted]
        
         | mach1ne wrote:
         | The thing is, academia has always been rather dumb at its main
         | job; analyzing the validity of research. Meaning that, even if
         | the research proves its validity on its own, academia fails to
         | pick it up, preferring to wait for secondary proofs.
         | 
         | It takes a certain kind of a person to go against the flow.
         | Einstein certainly did and it sure wasn't a smooth ride. Even
         | in our days, Geoffrey Hinton wasn't allowed to present on deep
         | learning in AI conferences in the early 2000's, even though the
         | exact same theoretical bases existed then as they do now.
        
       | legohead wrote:
       | How does a black hole trap light if it's not by gravity, is it
       | purely by space curvature?
        
         | ketralnis wrote:
         | From a newtonian perspective you can imagine that gravity emits
         | a force between all pairs of massive objects. That's a good way
         | to look at it for small values of mass. It works pretty well on
         | the scale of our whole solar system. This is what you're
         | imagining when you say "not by gravity but by spacetime
         | curvature".
         | 
         | But gravity _is_ spacetime curvature. It is manifested by
         | changes to spacetime itself made by that mass. For very large
         | values of mass (or density in this case) that newtonian
         | approximation doesn 't hold according to experiment. We need a
         | different model and the model that we've found that works is
         | that mass changes the shape of spacetime. Its presence changes
         | the nature of straight lines and the paths that you can follow
         | (geodesics).
         | 
         | A black hole causes all possible paths of spacetime, paths that
         | light must follow because it travels through spacetime, to
         | point into the black hole
         | https://en.wikipedia.org/wiki/Black_hole#Event_horizon Light
         | must follow straight lines but because the _space_ containing
         | those lines is curved, there don 't exist any of those lines
         | that point outside of the black hole. Once you've crossed the
         | event horizon, space itself doesn't have any straight lines
         | that point outward, there are no paths that you can follow.
         | 
         | It's even weirder than this because we're mostly familiar with
         | motion through space so that's probably what you (and I) are
         | imagining, but this is motion through spacetime. So really the
         | correct thing to say is that there exist no 4-d paths that
         | point outside of the black hole that are also in the future.
         | And _that 's_ even weirder than it sounds because you asked
         | about light specifically and light doesn't experience time the
         | same way you and I do. So our intuitions and our ability to map
         | reality to the nice charts that we're used to looking at are
         | pretty limited here.
        
           | legohead wrote:
           | Very cool answer, thank you!
        
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