Dynamics and Observer-Dependence of Holographic Screens
arXiv:1611.04607 · doi:10.1103/PhysRevD.95.046005
Abstract
We study the evolution of holographic screens, both generally and in explicit examples, including cosmology and gravitational collapse. A screen consists of a one-parameter sequence of maximal surfaces called leaves. Its causal structure is nonrelativistic. Each leaf can store all of the quantum information on a corresponding null slice holographically, at no more than one bit per Planck area. Therefore, we expect the screen geometry to reflect certain coarse-grained quantities in the quantum gravity theory. In a given spacetime, there are many different screens, which are naturally associated to different observers. We find that this ambiguity corresponds precisely to the free choice of a single function on . We also consider the background-free construction of , where the spacetime is not given. The evolution equations then constrain aspects of the full spacetime and the screen's embedding in it.
arXiv comment18 pages, 6 figures
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