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The effects of gravitational interaction are generally neglected in particle physics. A first-order formulation of gravity is presented to include gravity in the Quantum Mechanical Lagrangian of fermions. It is seen that fermions minimally coupled to gravity give rise to a torsionless effective theory with a quartic interaction. After passing through a thermal background, the most generic form of contortion contributes to neutrino effective mass. This effective mass can change the current oscillation parameters.
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Ghose et al. (2023) studied this question.
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