Casimir energy of a spherical shell in $\kappa-$Minkowski spacetime

TL;DR

This paper calculates the Casimir energy for a spherical shell in $$-Minkowski spacetime, revealing symmetry breaking effects at quantum levels and extending understanding of quantum field behavior in non-commutative geometries.

Contribution

It provides the first calculation of Casimir energy in $$-Minkowski spacetime for a spherical shell with complex fields, including corrections up to $O(1/^2)$, and discusses symmetry breaking implications.

Findings

Vacuum breaks particle-antiparticle symmetry at quantum level.

Casimir energy computed up to $O(1/^2)$ in $$-Minkowski spacetime.

Results suggest modifications to blackbody radiation spectra.

Abstract

We study the Casimir energy of a spherical shell of radius $a$ in $\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to $O(1/\kappa^2)$. We show that the vacuum breaks particle and anti-particle symmetry if one requires the spectra to be consistent with the blackbody radiation at the commutative limit.