Improved Constraints on Isotropic Shift and Anisotropies of the Speed of Light using Rotating Cryogenic Sapphire Oscillators

Abstract

We demonstrate that Michelson-Morley tests, which detect direction-dependent anisotropies in the speed of light, can also be used to place limits upon isotropic deviations of the vacuum speed of light from $c$, as described by the photon sector Standard Model Extension (SME) parameter ${\tilde{\kappa }}_{tr}$. A shift in the speed of light that is isotropic in one inertial frame implies anisotropic shifts in others. Using observer Lorentz covariance, we derive the time-dependent variations in the relative resonance frequencies of a pair of electromagnetic resonators that would be generated by such a shift in the rest frame of the Sun. A new analysis of a recent experimental test of relativity using this result constrains ${\tilde{\kappa }}_{tr}$ with a precision of $7.4\times 10^{-9}$. This represents the first constraint on ${\tilde{\kappa }}_{tr}$ by a Michelson-Morley experiment and the first analysis of a single experiment to simultaneously set limits on all nine non-birefringent terms in the photon sector of the SME.

References in corpus (9)

• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Rotating optical cavity experiment testing Lorentz invariance at the 10^{-17} level
• Relativity tests by complementary rotating Michelson-Morley experiments
• Test of Lorentz Invariance in Electrodynamics Using Rotating Cryogenic Sapphire Microwave Oscillators
• Improved test of Lorentz Invariance in Electrodynamics using Rotating Cryogenic Sapphire Oscillators
• Limits on isotropic Lorentz violation in QED from collider physics
• Bounding Isotropic Lorentz Violation Using Synchrotron Losses at LEP
• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Limits on light-speed anisotropies from Compton scattering of high-energy electrons

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