Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges

Abstract

A search for sidereal variations in the non-Newtonian force between two tungsten plates separated at millimeter ranges sets experimental limits on Lorentz invariance violation involving quadratic couplings of Riemann curvature. We show that the Lorentz invariance violation force between two finite flat plates is dominated by the edge effects, which includes a suppression effect leading to lower limits than previous rough estimates. From this search, we determine the current best constraints of the Lorentz invariance violating coefficients at a level of $10^{-8}$ m${}^2$.

5 pages, 3 figures. arXiv admin note: text overlap with arXiv:1412.8362 by other authors

References in corpus (5)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Short-range gravity and Lorentz violation
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Cited by in corpus (11)

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• Signals for Lorentz violation in gravitational waves
• Combined search for Lorentz violation in short-range gravity
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• Anisotropic cubic curvature couplings
• Velocity-dependent inverse cubic force and solar system gravity tests
• Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• The Standard-Model Extension and Gravitational Tests
• What do we know about Lorentz Symmetry?