Gravitational anisotropies of gyromagnetic ratios and tests of general relativity

Computer Science

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Anisotropy, Gravitational Effects, Gyromagnetism, Relativity, Atomic Clocks, Frequency Standards, Metrology, Nuclear Magnetic Resonance

Scientific paper

Consideration is given to experiments which may have demonstrated frequency shifts in an NMR clock that display a gravitational redshift. The experiments have been performed to test the Einstein equivalence principle that two clocks at the same point in space-time will run at the same rate. Comparisons have been made between the ticks of a cesium clock and the NMR clock, which has a time signal originating from the free precession of a sample of polarized nuclear spins in a stable and uniform magnetic field. Nonzero measurements of gravity-affected precessions have thus far not been obtained, indicating an isotropy of space or the exactness of the local Lorentz invariance. The NMR clocks, placed in the earth's magnetic field, have a sensitivity of 10 to the -17th eV for energy shifts caused by the gravitational field. Studies of the isotropy of the gravitational interaction for spin 1/2 particles in the fields of the earth, sun, and galaxy are shown to have been made with instruments which are barely capable of detecting the variations in the precession frequencies, and instrumentation which would be capable of detecting the changes are indicated.

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