Dr. Kaushlendra Kumar

Research in context

Exact geometry as a generator of physics

Mathematical physics asks for equations, spaces, and symmetries precise enough to calculate with. My work starts from exact structures — symmetries, quantum spaces, spectral triples, matrix models, division algebras, and gauge-field ansätze — and follows them through field equations, Dirac operators, spectral metrics, and geometric phases. The outputs are concrete: exact fields, source and defect laws, black-hole phase effects, spectral distances, particle-sector data, and information metrics.