Discrete spectral shift in an anisotropic universe

TL;DR

This paper investigates particle creation in an anisotropic universe, revealing a discrete spectral shift linked to the universe's geometry and calculating the associated Bogolubov coefficients.

Contribution

It introduces a novel calculation of particle creation showing a discrete spectral shift dependent on geometric length scales in anisotropic universes.

Findings

Discrete energy spectrum shift occurs due to anisotropy.

The shift is related to the universe's geometric length scale.

Bogolubov coefficients are expressed as delta functions involving curvature.

Abstract

In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantise a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale by which the spectrum is shifted. The $\beta(p,q)$ coefficient for the Bogolubov transformation calculated is proportional to a series of delta functions whose argument contains $p$ and $q$ and half multiples of the root of the curvature.