Quantum nondemolition measurements and non-Newtonian Gravity

TL;DR

This paper explores the use of quantum nondemolition measurements to detect potential non-Newtonian Yukawa gravitational interactions, analyzing measurement dynamics and implications for unified particle theories.

Contribution

It introduces a method to perform nondemolition measurements of Yukawa-modified gravity and analyzes their continuous monitoring and measurement probabilities.

Findings

Nondemolition variable for Yukawa gravity identified

Propagator for the measurement process evaluated

Measurement probabilities derived for the proposed setup

Abstract

In the present work the detection, by means of a nondemolition measurement, of a Yukawa term, coexisting simultaneously with gravity, has been considered. In other words, a nondemolition variable for the case of a particle immersed in a gravitational field containing a Yukawa term is obtained. Afterwards the continuous monitoring of this nondemolition parameter is analyzed, the corresponding propagator is evaluated, and the probabilities associated with the possible measurement outputs are found. The relevance of these kind of proposals in connection with some unified theories of elementary particles has been underlined.