Deformed dispersion relations and the degree of coherence function

TL;DR

This paper investigates how deformed dispersion relations, potentially arising from quantum gravity, affect the degree of coherence function in a Michelson interferometer with a two-frequency beam, and identifies conditions for detecting such effects.

Contribution

It provides a detailed analysis of the impact of deformed dispersion relations on the coherence function and establishes criteria for experimental detection of quantum gravity effects.

Findings

Deformed dispersion relations alter the roots of the degree of coherence function.

Conditions for detecting quantum gravity effects via coherence measurements are derived.

The analysis offers a theoretical basis for future experimental tests.

Abstract

The analysis of the modifications that the presence of a deformed dispersion relation entails in the roots of the so--called degree of coherence function, for a beam embodying two different frequencies and moving in a Michelson interferometer, is carried out. The conditions to be satisfied, in order to detect this kind of quantum gravity effect, are also obtained.