Small object limit of Casimir effect and the sign of the Casimir force

TL;DR

This paper explores the behavior of Casimir forces and radiation in small objects, providing new insights into their finiteness, sign, and derivation methods for Casimir interactions and radiation.

Contribution

It introduces a simple derivation method for Casimir interactions and analyzes the sign and finiteness of mutual Casimir forces in small objects.

Findings

Derived a simple expression for Casimir radiation from small accelerated objects

Presented general arguments on the finiteness of Casimir interactions

Provided insights into the sign of Casimir forces in small objects

Abstract

We show a simple way of deriving the Casimir Polder interaction, present some general arguments on the finiteness and sign of mutual Casimir interactions and finally we derive a simple expression for Casimir radiation from small accelerated objects.