Anisotropic universe space-time non-commutativity and scalar particle creation in the presence of a constant electric field

TL;DR

This paper investigates how non-commutative anisotropic universe space-time influences scalar particle creation, deriving modified equations and showing non-commutativity acts as a new particle source.

Contribution

It derives a deformed Klein-Gordon equation up to second order in non-commutativity and analyzes its effect on scalar particle creation in anisotropic space-time.

Findings

Non-commutativity introduces additional particle creation sources.

The probability of particle creation is affected by the non-commutative parameters.

The number density of created particles depends on the anisotropic and non-commutative features.

Abstract

We study the effect of the non-commutativity on the creation of scalar particles from vacuum in the anisotropic universe space-time. We derive the deformed Klein-Gordon equation up to second order in the non-commutativity parameter using the general modified field equation. Then the canonical method based on Bogoliubov transformation is applied to calculate the probability of particle creation in vacuum and the corresponding number density in the $k$ mode. We deduce that the non-commutative space-time introduces a new source of particle creation.