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The strange fate of a person falling into a black hole

bbc.com

151–160 of 164 posts

Re: The strange fate of a person falling into a black hole

#151

Thought it was weird in Interstellar that Cooper survived getting pulled into the black hole. Interesting that surviving is one of the 2 possibilities.

Dude, spoilers! :)

But yeah, what I'd love to know is how he got out. Did it leave him behind when it evaporated (due to Hawking radiation)? Is Cooper a "particle" in that context that was emitted as Hawking radiation?

Crazy stuff.

Re: The strange fate of a person falling into a black hole

#152
post #150

Earlier quoted context omitted.

> For sufficiently large black holes you can peacefully pass beyond the horizon (unless there's something else going on, like a firewall). The article addresses this by pointing out that the "tidal forces" in question are only noticeable for smaller black holes (at which point "spaghettification" - which is, by the way, the formal technical term for this phenomenon - occurs); for larger ones, spaghettification forces…

You're right, I glossed over that the article does address that point. So I retract that criticism. I'm honestly at this point just exceedingly skeptical of mostly everything I read about theoretical physics unless it's coming directly from an expert.

To be fair, I'm pretty skeptical of stuff about black holes even when they do come from experts, since there's so much contradiction between general relativity and quantum mechanics in this particular context, and experts more well-versed in one field over the other will try to use that field's explanations over the other's.

Black holes are fuckin' weird.

Re: The strange fate of a person falling into a black hole

#153
post #90

I don't think this article is representative of current serious thought about black holes. I'm a bit out of date on this stuff, and I was never any sort of expert, but let's see: 1. This reality splitting thing sounds wrong. I've never heard of it. Ignoring quantum effects, if you fall into a black hole and survive crossing the horizon, Anne will see you get closer and closer to the horizon, but she won't see you get…

My (also non-expert) understanding of current serious thought about black holes is that the event horizon is conjectured to be arbitrarily hot in the frame of reference of an observer hovering arbitrarily close to it. In the frame of reference of an observer falling into the black hole it's just empty space, and in the frame of reference of a distant observer the firewall is redshifted out of existence and only the Hawking temperature of the black hole is visible. But the existence of the frame of reference in which the event horizon reaches the Planck temperature suffices to justify the Schrodinger's cat style resolution of the paradox.

Re: The strange fate of a person falling into a black hole

#154

Earlier quoted context omitted.

The distance between fallers determines the energy requirements for communication. The lower person will also experience slower time than the higher. The analogy is as follows: Two BASE jumpers leap from the top of an infinitely tall radio mast in a vacuum, one after the other. They are in free-fall, so do not directly experience the effects of gravity, but the increase in the gravitational field as the distance to t…

> The concern for the first jumper is ... whether it can be thrown hard enough and accurately enough for the second to ever reach it. The concern for the second is whether the first can catch his ball without exploding like a paper sack full of wet spaghetti. This is just a practical difficulty. There might actually be stronger constraints in play -- the two jumpers might be causally disconnected from one another ent…

Which would also imply that you cannot communicate with a person who jumped in right after you did. I think your model does not account for the jumper having mass and his communication photons being massless.

The reason the photons cannot escape is not because they are affected by the gravity, but because the space they must traverse is stretched and twisted to such an extent that to an observer inside the event horizon, the entire outside universe presents an infinitesimally small target that is receding rapidly. Anything you might manage to shoot out would be indistinguishable from the Hawking radiation coming from the event horizon.

On a closer scale, you could probably communicate uphill, but the conversation would be like an ent talking to a chipmunk. At some point, you simply can't target your uphill counterparty accurately enough, or with enough bandwidth to hold their interest.

Re: The strange fate of a person falling into a black hole

#155

>there is no paradox, because no one person ever sees your clone. Anne only sees one copy of you. You only see one copy of you. You and Anne can never compare notes. Can't you? Why can't Anne "gather up your ashes" and send them into the black hole, where you can inspect them? Shouldn't that go against the "no cloning theorem"?

Better yet, black holes are known to emit Hawking radiation. If the event-horizon-crosser (let's call him "Matt" to be consistent with the article's "Anne") figured out some way to manipulate how that radiation is emitted (perhaps with some comic-book-esque "freeze ray" to selectively lower temperatures within the black hole with Morse or binary encoding?), Matt could send messages to Anne to the effect of "I AM ALIVE. BLACK HOLES ARE AWESOME.", thus unifying the two realities (or (inclusively) violating one or more models of the universe) if Anne knows to inspect Hawking radiation emissions.

Similarly, the black hole will eventually evaporate (unless it indefinitely maintains an intake of matter to counteract evaporation due to the Hawking-radiation-induced loss of mass). While it's highly unlikely that Matt will be emitted in one piece (let alone alive at all), he'll eventually be emitted as Hawking radiation as that evaporation occurs. If Anne's still around when the black hole evaporates, she could then collect and inspect Matt's "ashes" (more like escaped thermal radiation) and possibly get some idea of what happened if she can somehow reconstruct Matt from those emissions.

Re: The strange fate of a person falling into a black hole

#156
post #149
post #146

Earlier quoted context omitted.

> You incorrectly assume that when the star collapses there is already an event horizon I made no such assumption. You don't need an event horizon to dilate time, just a massive gravitational field, and something resisting it. When the sun collapses either the outer layers experience a repulsive force of some kind from below (a bounce perhaps, which is already theorized for supernovas, or maybe neutron degeneracy), o…

> just a massive gravitational field There is no massive gravitational field inside a star.

In the exact center, no. But there certainly is everywhere else in the star.

After all, if there was no massive gravitational field, what's causing it to collapse? You can't have it both ways.

Re: The strange fate of a person falling into a black hole

#157
post #90

I don't think this article is representative of current serious thought about black holes. I'm a bit out of date on this stuff, and I was never any sort of expert, but let's see: 1. This reality splitting thing sounds wrong. I've never heard of it. Ignoring quantum effects, if you fall into a black hole and survive crossing the horizon, Anne will see you get closer and closer to the horizon, but she won't see you get…

Based on your point 1, if time (on the outside) seems to speed up infinitely for the person falling into the black hole, and if the black hole will eventually evaporate due to hawking radiation, then wouldn't the black hole appear to completely evaporate prior to crossing the event horizon?

Indeed. I never really understood how things ever actually make it through the horizon in the first place (as seen by far-away observers) in order to make the black hole grow.

I /think/ what's going on is that, from the outside, you never really see a big black hole. Instead, you see what is, for all practical purposes, a big black hole, but really it's an exceedingly dense band of stuff, red-shifted to the point of invisibility, around the horizon. Of course, once you go close enough to inspect it for real, you get caught up in the time dilation enough that it looks more and more like a real black hole. If you go through the horizon, everything that ought to have preceeded you through the horizon already has, and it all makes sense.

The math for this is quite hairy [1] and I suspect that we're mostly limited to numerical simulations. The closed-form steady-state black hole metrics are gnarly enough as is.

[1] Terrible pun -- look up the "no-hair theorem"

Re: The strange fate of a person falling into a black hole

#158
post #90

I don't think this article is representative of current serious thought about black holes. I'm a bit out of date on this stuff, and I was never any sort of expert, but let's see: 1. This reality splitting thing sounds wrong. I've never heard of it. Ignoring quantum effects, if you fall into a black hole and survive crossing the horizon, Anne will see you get closer and closer to the horizon, but she won't see you get…

> If I remember my old problem set correctly, a black hole big enough for you to live your life in would be truly huge. IIRC the supermassive black hole at the center of the Milky Way would give you about 0.1 ms before you hit the singularity. Would that be from the point-of-view of the one crossing the event horizon or from the point-of-view of the observer? If that 0.1ms is from the POV of the latter, then - due to…

No, not really. This is "proper time", i.e. time as measured by the unfortunate person in the space ship who's falling in.

The observer outside never sees you hit the event horizon in the first place, so I'm not sure it's well-defined to talk about how long an outside observer thinks it takes you to hit the horizon once you've crossed the singularity.

Incidentally, one thing the article got right is that time and space are kind of switched inside the black hole. Once you cross the horizon, the singularity is no longer something that's radially inward from you. Instead the singularity is in your future, kind of like tomorrow is in my future. This is part of why you can't escape. Once you're inside, it makes no sense to fire your rockets to push yourself backwards in time. In fact, firing your rockets just makes it worse. You'll accelerate, and the resulting time dilation will actually /reduce/ the perceived time before you hit the doom in your future.

This is a big difference between GR black holes and toy classical black hole models. In a classical black hole (a point mass and an "event horizon" around it where the escape velocity exceeds the speed of light), you can try to throw something outside the horizon, and it might escape the horizon, but it's guaranteed to fall back in unless someone catches it or it has rockets and can continue propelling itself outward. In a real GR black hole, you can't cross the horizon from the inside in the first place. Despite this, if you squint a bit, the toy classical model predicts the Schwarzchild radius correctly

Re: The strange fate of a person falling into a black hole

#159

Earlier quoted context omitted.

Sure, it doesn't matter really to an outside observer, I just threw that in to hit home the time dilation aspect. You seem to be assuming a preexisting singularity. My question is how does that singularity get there if the compaction itself that would form the singularity continually pushes the goal post down the line?

No I'm not assuming a preexisting singularity, I'm assuming (possibly incorrectly) that you needn't reach infinite density for an event horizon. i.e. a singularity doesn't need to have formed, and you couldn't tell whether one had anyway. (My thinking is that if the mass of the singularity was redistributed evenly into a small sphere in the center of the black hole, the gravitational strength around the black hole wo…

> (My thinking is that if the mass of the singularity was redistributed evenly into a small sphere in the center of the black hole, the gravitational strength around the black hole wouldn't change despite density not being infinite. However that thought experiment is newtonian thinking, not GR, so perhaps flawed)

Update: It turns out I was describing something like the "Schwarzschild radius", confirming that in GR you don't need a singularity for a black hole - the mass just needs to be compacted into a volume smaller than a sphere of the Schwarzschild radius.

Re: The strange fate of a person falling into a black hole

#160
post #36
post #34

Earlier quoted context omitted.

interstellar was more a pile of nonsense than Science.

Have you read the book? That's solid science and contains good explanations on why things were done the way they were done.

I haven't read the book, but from what I gather[1], the explanations were not all good. Getting to and from Miller's world should have required absurd amounts of energy. But as extreme luck would have it, there were "intermediate-mass black holes" positioned ever-so-conveniently to make those trips possible (along with some other stuff). Cherry-picking the physics you like and papering over the rest with a series of extremely implausible coincidences isn't good science or good storytelling.

[1]: http://www.scottaaronson.com/blog/?p=2040

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