For 10 points, identify this statement, which, if true, would hold that any information in a given volume can be completely encoded on that volume's surface.
One implication of this statement is that the Bekenstein bound on the maximum entropy contained in a given volume holds; that implication suggests that for every 4 Planck area, there is at most one degree of freedom. This statement was proposed due to the observation that gravity in a type of anti-de Sitter space is equivalent to gravity in a type of supersymmetric Yang-Mills theory that is defined in the boundary of the anti-de Sitter space; that equivalence is called the adS/CFT correspondence. This statement was developed from Gerard t'Hooft's work on black hole evaporation in a paper by Leonard Susskind, which uses the example of a black holes horizon mapped onto a screen to demonstrate this statement. For 10 points, identify this statement, which, if true, would hold that any information in a given volume can be completely encoded on that volume's surface.
One implication of this statement is that the Bekenstein bound on the maximum entropy contained in a given volume holds; that implication suggests that for every 4 Planck area, there is at most one degree of freedom.
holographic principle