Bekenstein bounds and inequalities between size, charge, angular momentum and energy for bodies

TL;DR

This paper proves universal inequalities linking size, charge, angular momentum, and energy for bodies, in both electromagnetism and general relativity, based on Bekenstein bounds for entropy.

Contribution

It establishes the first rigorous proofs of these inequalities in electromagnetism and for zero angular momentum in general relativity, connecting entropy bounds to physical properties.

Findings

Proved inequality between size, charge, angular momentum, and energy in electromagnetism.

Established inequality for zero angular momentum in general relativity.

Discussed relations with recent size, charge, and angular momentum inequalities.

Abstract

Bekenstein bounds for the entropy of a body imply an universal inequality between size, energy, angular momentum and charge. We prove this inequality in Electromagnetism. We also prove it, for the particular case of zero angular momentum, in General Relativity. We further discuss the relation of these inequalities with inequalities between size, angular momentum and charge recently studied in the literature.