A note on the connection between the universal relaxation bound and the covariant entropy bound

Abstract

A recently proposed universal lower-bound to the characteristic relaxation times of perturbed thermodynamic systems, derived from quantum information theory and (classical) thermodynamics and known to be saturated for (certain) black holes, is investigated in the light of the gravity/thermodynamics connection. A statistical-mechanical property, unrelated to gravity, essential for the validity of the generalized covariant entropy bound, namely the existence of a lower-limiting value l* for the size of thermodynamic systems, is found to provide a way to understand the universal relaxation bound, thus regardless of the kind of foundations (i.e. whether conventional or information-based) of the statistical-mechanical description. As a by-product an example of a conventional system (i.e. not a black hole) seemingly saturating the universal relaxation bound is provided.

One reference added; some editing

References in corpus (14)

• The World as a Hologram
• Thermodynamics of Spacetime: The Einstein Equation of State
• Gravity and the Thermodynamics of Horizons
• Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law
• $\pi \pi$ Scattering in Three Flavour ChPT
• The Holographic Principle for General Backgrounds
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Gravity: A New Holographic Perspective
• Simple sufficient conditions for the generalized covariant entropy bound
• A Quantum Bousso Bound
• Near-Extreme Black Holes and the Universal Relaxation Bound
• From Unruh temperature to generalized Bousso bound
• Gravity as an emergent phenomenon: A conceptual description
• On the statistical-mechanical meaning of the Bousso bound

Cited by in corpus (12)

• Quantum criticality and black holes
• Bekenstein-Hod Universal Bound on Information Emission Rate Is Obeyed by LIGO-Virgo Binary Black Hole Remnants
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Gravity from the entropy of light
• A proof of the Bekenstein bound for any strength of gravity through holography
• Can we know about black hole thermodynamics through shadows?
• Information content and minimum-length metric: A drop of light
• Entropy bounds and field equations
• Viscosity bound versus the universal relaxation bound
• A Bound on Equipartition of Energy
• On the Time Times Temperature Bound
• On the behavior of the bounds of the holographic theory for massive and massless particle systems