A relativistically covariant stochastic model for systems with a fluctuating number of particles

TL;DR

This paper develops a relativistically covariant stochastic model for non-interacting particles with fluctuating numbers, comparing it to canonical quantization of the free scalar field in the infinite volume limit.

Contribution

It introduces a novel covariant stochastic framework for particle systems with variable particle numbers, bridging stochastic models and quantum field theory.

Findings

Model is consistent with relativistic covariance.

Matches canonical quantization results in the infinite volume limit.

Provides a new approach to stochastic modeling in quantum systems.

Abstract

We construct a relativistically covariant stochastic model for systems of non-interacting spinless particles whose number undergoes random fluctuations. The model is compared with the canonical quantization of the free scalar field in the limit of infinite volume.