Comment by ReflectedImage
1 day ago
A 3d volume can contain a number of states equal to it's 2d dimensional surface.
All the extra states you would assume the 3d volume can contain are actually a single state called Black Hole.
There is a limit to how much you can fill a 3d volume before it's a Black Hole basically.
This is by far the most succinct, understandable, correct, description of the holographic principle. I don’t know all articles don’t just lead with this.
Does that mean that all the black holes of a particular volume have the same interior? Or does it mean that the black hole state is the case where you can’t tell what the interior is?
Classical understanding, yes. Black holes have no 'hair'. You can measure charge spin mass that's it
Is that result proven?
Depends on what hypotheses you are willing to accept, but, as far as I know, it is generally accepted by physicists: https://en.wikipedia.org/wiki/Bekenstein_bound
That's a purely mathematical result, the top comment of this thread has a link to the paper
I don't think it has been experimentally verified or anything
No.
> a single state called Black Hole.
Quibble: A black hole still has a charge, mass, momentum vector, and spin vector. Which, yes, still vastly reduces the number of states needed on the surface of the enclosing container.
That's the clearest description of how this dimension collapse via gravity thing works that I've ever heard.
I really think we live on the 3D event horizon of a 4D black hole, folks.
Why stopping at four dimensions?
The people at Gillette are working on five.
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Oh sure. The parent universe could be the 4D event horizon of a 5D hole. It’s holes all the way up. If you draw little heads on them I guess they’re like round turtles so if this is true the turtles people weren’t as far off as we thought.
Since all the event horizons “touch” at N-1 dimensions I wonder if this is isomorphic with certain forms of string theory? Maybe there’s 11 levels of holes?
BTW this isn’t my idea. There’s papers on black hole cosmology. You can make the math work but no way to test it. Yet?
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> All the extra states you would assume the 3d volume can contain are actually a single state called Black Hole.
How can that be? Don't different black holes have different masses?
Well the density goes down the larger the black hole so the extra states are still missing.
For exactly how that works, I'm a Comp Sci not a Physicist.