Hyperentropic systems and the generalized second law of thermodynamics

Abstract

The holographic bound asserts that the entropy $S$ of a system is bounded from above by a quarter of the area $\mathcal{A}$ of a circumscribing surface measured in Planck areas: $S\le \mathcal{A}/4{\ell }_P^2$. This bound is widely regarded a desideratum of any fundamental theory. Moreover, it was argued that the holographic bound is necessary for the validity of the generalized second law (GSL) of thermodynamics. However, in this work we explicitly show that hyperentropic systems (those violating the holographic entropy bound) do exist in higher-dimensional spacetimes. We resolve this apparent violation of the GSL and derive an upper bound on the area of hyperentropic objects.

arXiv comment5 pages

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Cited by in corpus (5)

• The large D limit of General Relativity
• Black hole evaporation and semiclassicality at large D
• The holographic entropy bound in higher-dimensional spacetimes: As strong as ever
• Small black holes in the large D limit
• Classical and Quantum Thermodynamic Systems in Curved Spacetime