Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-27
Phys.Rev.D82:124028,2010
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 1 figure
Scientific paper
10.1103/PhysRevD.82.124028
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.
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