Dilaton Solutions for Laboratory Constraints and Lunar Laser Ranging

TL;DR

This paper derives analytical solutions for environment-dependent dilaton fields in laboratory and lunar settings, aiding the interpretation of experiments testing deviations from General Relativity.

Contribution

It provides approximate analytical solutions for dilaton field equations in various experimental configurations, extending the applicability of screening mechanism models.

Findings

Solutions applicable to qBOUNCE experiments and neutron interferometry

Calculation of dilaton-induced Casimir forces in Cannex

Implications for Lunar Laser Ranging constraints

Abstract

We derive approximate analytical solutions to the environment-dependent dilaton field theory equations in the presence of a one or two mirror system or a sphere. The one-dimensional equations of motion are integrated for each system. The solutions obtained herein can be applied to \textit{q}BOUNCE experiments, neutron interferometry and for the calculation of the dilaton field induced "Casimir force" in the \textsc{Cannex} experiment as well as for Lunar Laser Ranging. They are typical of the Damour-Polyakov screening mechanism whereby deviations from General Relativity are suppressed by a vanishingly small direct coupling of the dilaton to matter in dense environments.