A proof of the Bekenstein bound for any strength of gravity through holography

Abstract

The universal entropy bound of Bekenstein is considered, at any strength of the gravitational interaction. A proof of it is given, provided the considered general-relativistic spacetimes allow for a meaningful and inequivocal definition of the quantities which partecipate to the bound (such as system's energy and radius). This is done assuming as starting point that, for assigned statistical-mechanical local conditions, a lower-limiting scale l* to system's size definitely exists, being it required by holography through its semiclassical formulation as given by the generalized covariant entropy bound. An attempt is made also to draw some possible general consequences of the l* assumption with regards to the proliferation of species problem and to the viscosity to entropy density ratio. Concerning the latter, various fluids are considered including systems potentially relevant, to some extent, to the quark-gluon plasma case.

13 pages. v2: the title is modified; the discussion is strengthened and made more concise (10pp). v3: some short clarifications added

References in corpus (13)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Relative entropy and the Bekenstein bound
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
• From Unruh temperature to generalized Bousso bound
• The bound on viscosity and the generalized second law of thermodynamics
• A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414
• Entropy of gravitating systems: scaling laws versus radial profiles
• A note on the connection between the universal relaxation bound and the covariant entropy bound
• On the statistical-mechanical meaning of the Bousso bound
• Gravitation, Thermodynamics, and the Bound on Viscosity
• From Thermodynamics to the Bound on Viscosity
• The Bousso entropy bound in selfgravitating gas of massless particles

Cited by in corpus (5)

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• Gravity from the entropy of light
• Information content and minimum-length metric: A drop of light
• Isentropic processes for axisymmetric Black Holes
• Nonperturbative Isentropic Processes in AdS Black Holes with Nonlinear Electrodynamics