Cluster properties and particle production in Poincar\'e invariant quantum mechanics

TL;DR

This paper discusses the development of Poincaré invariant quantum models that maintain cluster separability but allow for variable particle numbers, addressing fundamental issues in quantum mechanics.

Contribution

It introduces a method to construct exactly Poincaré invariant quantum models that do not conserve particle number while satisfying cluster separability.

Findings

Models achieve exact Poincaré invariance and cluster separability.

Particle number is not conserved in the constructed models.

Abstract

I outline the construction of exactly Poincar\'e invariant quantum models that satisfy cluster separability but do not conserve particle number.