An operational view on the holographic information bound
Abstract
We study the covariant holographic entropy bound from an operational standpoint. Therefore we consider the physical limit for observations on a light-sheet. A light-sheet is a particular null hypersurface, and the natural measuring apparatus is a screen. By considering the physical properties of the screen - as dictated by quantum mechanics - we derive an uncertainty relation. This connects the number of bits of decoded information on the light-sheet to two geometric uncertainties: the uncertainty on the place where the bits are located and the uncertainty on the local expansion of the light-sheet. From this relation we can argue a local operational version of the (generalized) covariant entropy bound: the maximum number of bits decoded on a light-sheet interval goes like the area difference (in Planck units) of the initial and final surface spanned by the light rays.
Cite
@article{arxiv.1009.5385,
title = {An operational view on the holographic information bound},
author = {Karel Van Acoleyen},
journal= {arXiv preprint arXiv:1009.5385},
year = {2010}
}
Comments
10 pages, 1 figure