Finite dimensions and the covariant entropy bound

Details Finite dimensions and the covariant entropy bound Finite dimensions and the covariant entropy bound

2002-11-26

arxiv.org/abs/hep-th/0211253v2

Physics

High Energy Physics

High Energy Physics - Theory

Discussion on the domain of the function n added

Scientific paper

We explore the consequences of assuming that the bounded space-time subsets contain a finite number of degrees of freedom. A physically natural hypothesis is that this number is additive for spatially separated subsets. We show that this assumption conflicts with the Lorentz symmetry of Minkowski space since it implies that a conserved current determines the number of degrees of freedom. However, the entanglement across boundaries can lead to a subadditive property for the degrees of freedom of spatially separated sets. We show that this condition and the Poincare symmetry lead to the Bousso covariant entropy bound for Minkowski space.

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