Energy conditions outside a dielectric ball

TL;DR

This paper analytically demonstrates that the vacuum electromagnetic stress-energy tensor outside a dielectric ball satisfies all classical energy conditions, reinforcing the stability of such configurations in quantum field theory.

Contribution

It provides a rigorous proof that the energy conditions hold outside a dielectric sphere, a novel result in quantum field theory contexts.

Findings

Vacuum electromagnetic stress-energy tensor obeys all classical energy conditions outside the dielectric ball.

No known violations of the averaged null energy condition in flat spacetime quantum field theory.

Supports the stability of electromagnetic configurations around dielectric objects.

Abstract

We show analytically that the vacuum electromagnetic stress-energy tensor outside a ball with constant dielectric constant and permeability always obeys the weak, null, dominant, and strong energy conditions. There are still no known examples in quantum field theory in which the averaged null energy condition in flat spacetime is violated.