Rigorous mathematical framework deriving the Dirac equation through geometric quantization using symplectic manifolds and quaternionic spinor theory, with systematic construction of C, P, T symmetries.

#GeometricQuantization #SymplecticGeometry #Research

Rigorous extension of geometric quantization to orbifold phase spaces with singularities. Develops prequantization, polarization, and metaplectic corrections for singular symplectic manifolds with applications to quotient configurations.

#GeometricQuantization #OrbifoldTheory #QuantumMechanics