Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
arXiv:1010.4729 · doi:10.1088/0264-9381/28/12/125007
Abstract
We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters based on the Equivalence Principle. The key feature of our analysis is an effective Planck's constant that naturally arises when accounting for the noncommutative features of the phase-space.
12 pages. Version to appear at the Classical and Quantum Gravity
References in corpus (7)
- Test of the Equivalence Principle Using a Rotating Torsion Balance
- Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
- Thermal Analysis of the Pioneer Anomaly: A method to estimate radiative momentum transfer
- Notes Concerning "On the Origin of Gravity and the Laws of Newton" by E. Verlinde (arXiv:1001.0785)
- Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
- General Theory of Relativity: Will it survive the next decade?
- Minimalisation of uncertainty relations in noncommutative quantum mechanics