Can an uncertainty relation generate a plasma?

Abstract

We explore the fundamental idea that there may be a role for the Casimir effect, via an uncertainty relation, in the generation of electron-positron and quark-gluon plasmas. We investigate this concept, reviewing the possible contribution of semi-classical electrodynamics to nuclear interactions, specifically focusing on the Casimir effect at sub-Fermi length scales. The main result is a temperature distance relation, derived from the time-energy uncertainty relation, which can have observable consequences at these extreme scales. From a more general perspective, since the energy-time uncertainty relation appears to be a significant physical quantity, we also provide a brief overview of recent developments in this direction in Sec. 3.2.