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This article presents the derivation of Ricci flow equations induced by torsional curvature contributions arising from Majorana neutrino currents. We refer to “torsional curvature” as the contribution to the Ricci tensor arising from torsion-coupled spinor terms, following the formulation introduced in our previous study [1]. We analyze how chiral fermionic fields influence the geometric evolution of spacetime via torsion, encoded in the curvature tensor. This framework suggests a novel incorporation of fermionic matter, particularly Majorana neutrinos, into gravitational dynamics, opening avenues for gravity theories with torsion and symmetry-breaking mechanisms linked to chirality. The torsional curvature induced by chiral neutrino domains alters the spacetime metric, potentially leading to observable effects at cosmological and astrophysical scales. These include anisotropies in gravitational lensing near torsional defects, as well as broader implications for structure formation, galactic rotation curves, and the large-scale distribution of matter.

Ricci flow, torsion, Majorana neutrinos, Einstein-Cartan theory, metric perturbation, chiral spinors, geometric flows, gravitational dynamics.