A Process Algebra Approach to Quantum Field Theory

TL;DR

This paper introduces a process algebra-based formulation of quantum field theory that is divergence-free, unifies particles and fields, and features an emergent discrete space-time, simplifying quantum theory foundations.

Contribution

It extends the process algebra approach to quantum mechanics into quantum field theory, eliminating divergences and unifying particles and fields on a common foundation.

Findings

Divergence-free quantum field theory formulation

Emergent discrete space-time and entities

Unified particle and field descriptions

Abstract

The process algebra has been used successfully to provide a novel formulation of quantum mechanics in which non-relativistic quantum mechanics (NRQM) emerges as an effective theory asymptotically. The process algebra is applied here to the formulation of quantum field theory. The resulting QFT is intuitive, free from divergences and eliminates the distinction between particle, field and wave. There is a finite, discrete emergent space-time on which arise emergent entities which transfer information like discrete waves and interact with measurement processes like particles. The need for second quantization is eliminated and the particle and field theories rest on a common foundation, clarifying and simplifying the relationship between the two.