Does Entropic Gravity Bound the Masses of the Photon and Graviton?

Abstract

If the information transfer between test particle and holographic screen in entropic gravity respects both the uncertainty principle and causality, a lower limit on the number of bits in the universe relative to its mass may be derived. Furthermore, these limits indicate particles that putatively travel at the speed of light -- the photon and/or graviton -- have a non-zero mass $m\ge 10^{-68}$kg. This result is found to be in excellent agreement with current experimental mass bounds on the graviton and photon, suggesting that entropic gravity may be the result of a (recent) softly-broken local symmetry. Stronger bounds emerge from consideration of ultradense matter such as neutron stars, yielding limits of $m\ge 10^{-48}-10^{-50}$kg, barely within the experimental photon range and outside that of the graviton. We find that for black holes these criteria cannot be satisfied, and suggest some possible implications of this result.

v2: 18 pp, LaTeX2e. Expanded discussion including mass bounds from other gravitational sources. To appear in MPLA

References in corpus (19)

• 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
• Entropic Accelerating Universe
• Friedmann Equations from Entropic Force
• Entropic cosmology: a unified model of inflation and late-time acceleration
• Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
• Notes on Entropy Force in General Spherically Symmetric Spacetimes
• Thermodynamics of Black Holes from Equipartition of Energy and Holography
• Newtonian gravity in loop quantum gravity
• Entropic force and entanglement system
• Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
• The quantum of area $\Delta A=8\pi l_P^2$ and a statistical interpretation of black hole entropy
• Planck Scale Effect in the Entropic Force Law
• A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario
• Towards a Holographic Description of Inflation and Generation of Fluctuations from Thermodynamics
• Unparticle Realization Through Continuous Mass Scale Invariant Theories
• Entropic dark energy and sourced Friedmann equations
• Go with the Flow, Average Holographic Universe

Cited by in corpus (18)

• Cosmology from quantum potential
• Dark matter and dark energy from Bose-Einstein condensate
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• (1+1)-Dimensional Entropic Gravity
• Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• Primordial black holes in a dimensionally reduced universe
• Entropic derivation of F=ma for circular motion
• Stringent theoretical and experimental bounds on graviton mass
• Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
• Cosmic coincidence or graviton mass?
• Dark matter is a manifestation of the vacuum Bose-Einstein condensate
• Bose-Einstein condensation as an alternative to inflation
• Quantized Black Hole and Heun function
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Modified gravity/entropic gravity correspondence due to graviton mass
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case