Basic Holographic Principle question

[incompetence]

So I've been looking up the holographic principle for a while and I'm having trouble understanding somthing that I feel is obvious that I'm missing. I understand that a volume of space will have the same information as it's surface area, but is it the same information? What I mean is if I drop Alice into a black hole, from her view inside the black hole she will see everything 3-dimensionally. Bob, who is outside of the black hole, will see Alice's information 2-dimensionally on the event horizon.

 

The part I'm having trouble with is are they looking at the same Alice? Is the Alice on the inside a clone of the one on the surface, or is she in a sense in both places at the same time?

 

If you couldn't tell I'm a layperson so please keep answers simple. Thank you.

[ajb]

What I mean is if I drop Alice into a black hole, from her view inside the black hole she will see everything 3-dimensionally. Bob, who is outside of the black hole, will see Alice's information 2-dimensionally on the event horizon.

I am not sure about this. Remember that classically black holes are characterised by the no hair theorem. That means we don't know what black holes have 'eaten'. I am not sure, and I expect no-one really is what happens quantum mechanically.

[incompetence]

Yeah, I could have worded that better. Let me try again.

 

According to the holographic principle the surface area that surrounds a volume of space should contain the same information that the volume has. So if I have Alice inside a 3D space, that same information should be on the surface area that surrounds her.

http://m.dummies.com/how-to/content/string-theory-insight-from-the-holographic-princip.html

 

So would that mean that there are 2 Alices, or is she both on the surface and in the volume?

[Endy0816]

So would that mean that there are 2 Alices, or is she both on the surface and in the volume?

 

Maybe.

 

Getting into the Quantum Mechanics No-cloning theorem and the related black hole Firewall hypothesis.

 

http://en.wikipedia.org/wiki/No-cloning_theorem

http://en.wikipedia.org/wiki/Firewall_%28physics%29

 

I suspect one way or another everything cancels out in the end via Hawking radiation.