From Unruh temperature to generalized Bousso bound

Abstract

In a classical spacetime satisfying Einstein's equation and the null convergence condition, the same quantum mechanical effects that cause black holes to have a temperature are found to imply, if joined to the macroscopic nature of entropy, the covariant entropy bound in its generalized form. This is obtained from thermodynamics, as applied across the local Rindler causal horizon through every point p of the null hypersurfaces L the covariant entropy bound refers to, in the direction of the null geodesics generating L.

5 pages. v2: some changes to clarify the path to the obtained results; two (final) paragraphs, the acknowledgments and a reference added

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• The covariant entropy bound and loop quantum cosmology
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• Numerical evidence for universality in the relaxation dynamics of near-extremal Kerr-Newman black holes
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