Dilaton Solutions for Laboratory Constraints and Lunar Laser Ranging [CL]

http://arxiv.org/abs/2203.12512


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.

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P. Brax, H. Fischer, C. Käding, et. al.
Thu, 24 Mar 22
34/56

Comments: 14 pages, 4 figures