Entropic Corrections to Coulomb’s Law

Abstract

Two well-known quantum corrections to the area law have been introduced in the literatures, namely, logarithmic and power-law corrections. Logarithmic corrections, arises from loop quantum gravity due to thermal equilibrium fluctuations and quantum fluctuations, while, power-law correction appears in dealing with the entanglement of quantum fields in and out the horizon. Inspired by Verlinde's argument on the entropic force, and assuming the quantum corrected relation for the entropy, we propose the entropic origin for the Coulomb's law in this note. Also we investigate the Uehling potential as a radiative correction to Coulomb potential in 1-loop order and show that for some value of distance the entropic corrections of the Coulomb's law is compatible with the vacuum-polarization correction in QED. So, we derive modified Coulomb's law as well as the entropy corrected Poisson's equation which governing the evolution of the scalar potential φ. Our study further supports the unification of gravity and electromagnetic interactions based on the holographic principle.

Generalized entropic gravity from modified Unruh temperature

“…Our results and the papers [14][15][16][17][18][19][20][21] show that the entropic gravity proposal provides a powerful framework to obtain the generalized theory of gravity by using thermodynamical quantities.…”

Atomic Structure Modeling of Multi-Principal-Element Alloys by the Principle of Maximum Entropy

“…In the physics world, substance is the energy in condensed state, and the behavior of energy is determined by entropy. The in-depth study of entropic force is expected to unify all physics forces, including the electromagnetic force [34,35], gravity [20], etc., and finally leads to the establishment of the Unified Field Theory.…”

Exact solutions of three-dimensional black holes: Einstein gravity versus F(R) gravity

“…We consider F (R) = R + f (R) gravity without matter field (T matt µν = 0) in (2 + 1)-dimension. Considering metric (1) and field equation (17), one can obtain the following independent sourceless equations [27] 2rg(r)F…”

“…Due to these facts, some of physicists have an interest in the (2 + 1)-dimensional manifolds and their attractive properties [24,25]. Although three dimensional black holes in F (R) gravity have been studied before [26,27], till now, exact solution of three dimensional F (R) gravity coupled to a matter field have not been constructed. In this paper, one of our goals is obtaining an exact three dimensional black hole solutions of F (R) theory coupled to a CIM source.…”