Gravitational geometric phase

• URL: http://arxiv.org/abs/2111.03277v1
• Date: Fri, 5 Nov 2021 05:44:09 GMT
• Title: Gravitational geometric phase
• Authors: Banibrata Mukhopadhyay, Tanuman Ghosh, Soumya Kanti Ganguly
• Abstract summary: We show that spinors propagating in curved gravitational background acquire an interaction with spacetime curvature. This is similar to what happens in the case of magnetic fields, known as Pancharatnam-Berry phase.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that spinors propagating in curved gravitational background acquire an interaction with spacetime curvature, which leads to a quantum mechanical geometric effect. This is similar to what happens in the case of magnetic fields, known as Pancharatnam-Berry phase. As the magnetic and gravitational fields have certain similar properties, e.g. both contribute to curvature, this result is not difficult to understand. Interestingly, while spacetime around a rotating black hole offers Aharonov-Bohm and Pancharatnam-Berry both kinds of geometric effect, a static spacetime offers only the latter. In the bath of primordial black holes, such gravity induced effects could easily be measured due to their smaller radius.

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