Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-11
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages
Scientific paper
We introduce the the Triangular Ring (TR) resonator. We show that the difference between the clockwise and anti-clockwise resonant frequencies of a vacuum TR resonator is sensitive to the birefringence parity-odd parameters of the photon's sector of the minimal Standard Model Extension (mSME): the Standard Model plus all the perturbative parameters encoding the break the Lorentz symmetry. These parameters encode the one-way light speed anisotropy in the vacuum. We then report that utilizing the current technology would allow for direct measurement of these parameters with a sensitivity better than parts in $10^{17}$. This would improve the best current resonator bounds by four orders of magnitude, and beside the absence of the cosmological birefringence would affirm the homogeneity of the universe. We also note that designing an optical table that rotates perpendicular to the gravitational equipotential surface (geoid) allows for direct measurement of the constancy of the light speed at the vicinity of the earth in all directions in particular perpendicular to the geoid. If this table could achieve the precision of the ordinary tables, then it would improve the GPS bounds on the constancy of the light speed perpendicular to geoid by about eight orders of magnitude.
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