Entropy bounds and nonlinear electrodynamics

TL;DR

This paper investigates how nonlinear electrodynamics, specifically Born-Infeld theory, influences Bekenstein's entropy bound for charged objects, revealing that nonlinear effects can increase the bound.

Contribution

It demonstrates that the entropy bound depends on the underlying electrodynamics theory and provides a method to compute electric fields in nonlinear electrodynamics within Schwarzschild spacetime.

Findings

Nonlinear electrodynamics raises the entropy bound compared to linear theory.

A general method for calculating electric fields in nonlinear electrodynamics in Schwarzschild spacetime.

The entropy bound is theory-dependent, not universal.

Abstract

Bekenstein's inequality sets a bound on the entropy of a charged macroscopic body. Such a bound is understood as a universal relation between physical quantities and fundamental constants of nature that should be valid for any physical system. We reanalyze the steps that lead to this entropy bound considering a charged object in conformity to Born-Infeld electrodynamics and show that the bound depends of the underlying theory used to describe the physical system. Our result shows that the nonlinear contribution to the electrostatic self-energy causes a raise in the entropy bound. As an intermediate step to obtain this result, we exhibit a general way to calculate the form of the electric field for a given nonlinear electrodynamics in Schwarzschild spacetime.