Planck Scale Effect in the Entropic Force Law
arXiv:1003.0285
Abstract
In this note we generalize the quantum uncertainty relation proposed by Vancea and Santos [7] in the entropic force law, by introducing Planck scale modifications. The latter is induced by the Generalized Uncertainty Principle. We show that the proposed uncertainty relation of [7], involving the entropic force and the square of particle position, gets modified from the consideration of a minimum measurable length, (which can be the Planck length).
References added, to appear in Mod.Phys.Lett. A
References in corpus (16)
- On the Origin of Gravity and the Laws of Newton
- Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- Friedmann Equations from Entropic Force
- Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
- Modified Entropic Force
- Notes on Entropy Force in General Spherically Symmetric Spacetimes
- Coulomb Force as an Entropic Force
- Holographic actions from black hole entropy
- Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
- A note on gravity, entropy, and BF topological field theory
- Towards a Holographic Description of Inflation and Generation of Fluctuations from Thermodynamics
- Entropic force in the presence of black hole
- Gravity from the entropy of light
Cited by in corpus (19)
- Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
- Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Lessons from Classical Gravity about the Quantum Structure of Spacetime
- Minimal length, maximal momentum and the entropic force law
- "Stringy" Coherent States Inspired By Generalized Uncertainty Principle
- Generalized uncertainty principle or curved momentum space?
- Does Entropic Gravity Bound the Masses of the Photon and Graviton?
- Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
- Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
- Relativistic Extended Uncertainty Principle from Spacetime Curvature
- The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
- Does entropic force always imply the Newtonian force law?
- Coherent States for the Non-Linear Harmonic Oscillator
- Is Holographic Entropy and Gravity the result of Quantum Mechanics?
- Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
- An entropic picture of emergent quantum mechanics
- Black Hole Motion in Entropic Reformulation of General Relativity
- Action in the Entropic Revolution of Newtonian Gravity