Experimental tests of curvature couplings of Fermions in General Relativity
S. Mohanty, B. Mukhopadhyay, A. R. Prasanna
Abstract
Spin 1/2 particles in geodesic trajectories experience no gravitational potential but they still have non-zero couplings to the curvature tensor. The effect of space time curvature on fermions can be parameterized by a vector and a pseudo-vector potential. These apparent CPT violating terms can be measured with satellite based spin-polarized torsion balance and clock comparison experiments. The Earth's curvature effect is of the order of 10-37 Gev which is not far from the present bounds of ~10-29 Gev on such CPT violating couplings.
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