On Noncommutative Effects in Entropic Gravity

Abstract

We analyze the question of possible quantum corrections in the entropic scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical approximation for the spherical holographic screen, we analyze whether it is possible to observe such corrections to Newton's law in principle. The main outcome of our analysis is that without the complete knowledge of quantum dynamics of the microscopical degrees of freedom, any Plank scale correction cannot be trusted. Some perturbative corrections might produce reliable predictions well below the Plank scale.

12 pages, 2 figures

References in corpus (5)

• UV-Completion by Classicalization
• Newtonian gravity in loop quantum gravity
• Bulk Entropy in Loop Quantum Gravity
• Entropic corrections to Newton's law
• On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension

Cited by in corpus (10)

• Large Distance Modification of Newtonian Potential and Structure Formation in Universe
• Clustering of Galaxies in Brane World Models
• Noncommutative Geometry and Fluid Dynamics
• Two approaches that prove divergence free nature of non-local gravity
• Heat kernel for flat generalized Laplacians with anisotropic scaling
• Dimensional Deception from Noncommutative Tori: An alternative to Horava-Lifschitz
• On geodesics in space-times with a foliation structure: A spectral geometry approach
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Spectral geometry approach to Horava-Lifshitz type theories: gravity and matter sectors in IR regime
• A note on the fuzzy sphere area spectrum, black hole luminosity, and the quantum nature of spacetime