Gravity from the entropy of light

Abstract

The holographic principle, considered in a semiclassical setting, is shown to have direct consequences on physics at a fundamental level. In particular, a certain relation is pointed out to be the expression of holography in basic thermodynamics. It is argued moreover that through this relation holography can be recognized to induce gravity, and an expression for the gravitational lensing is obtained in terms of entropy over wavelength of black-body radiation, or, at a deeper level, in terms of maximum entropy over associated space to the elementary bit of information.

7 pages; v2: completion of the list of references; v3: the discussion is divided in Sections and the argument is described in more detail; v4: a statement is added (below eq.13) on what is the supposed difference between Jacobson's work in ref.21 and this attempt; addition of a paragraph in last Section

References in corpus (15)

• The World as a Hologram
• Thermodynamics of Spacetime: The Einstein Equation of State
• On the Origin of Gravity and the Laws of Newton
• Thermodynamical Aspects of Gravity: New insights
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Light-sheets and Bekenstein's bound
• Holographic actions from black hole entropy
• Notes Concerning "On the Origin of Gravity and the Laws of Newton" by E. Verlinde (arXiv:1001.0785)
• From Unruh temperature to generalized Bousso bound
• Holography in a quantum spacetime
• A note on the connection between the universal relaxation bound and the covariant entropy bound
• On the statistical-mechanical meaning of the Bousso bound
• A proof of the Bekenstein bound for any strength of gravity through holography

Cited by in corpus (12)

• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• On the Origin of Entropic Gravity and Inertia
• Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
• Planck Scale Effect in the Entropic Force Law
• Time varying gravitational constant G via the entropic force
• Information content and minimum-length metric: A drop of light
• Entropy bounds and field equations
• On thermal force from holographic action
• The existence of a minimum wavelength for photons
• Zero-point gravitational field equations
• Black Hole Motion in Entropic Reformulation of General Relativity