Two-Photon Bunching from Geometric Phase Diffusion: Hong–Ou–Mandel Interference without Wavefunctions

This work presents a trajectory-based, phase-geometric account of Hong–Ou–Mandel (HOM) two-photon interference within Dual-Frame Theory (DFT). Interference and photon bunching emerge from deterministic microscopic phase evolution under a discrete motion budget, without wavefunctions or Hilbert-space postulates.

Deterministic Monte Carlo simulations confirm linear and quadratic phase-variance scaling and reproduce the HOM dip using only geometric phase statistics. All numerical results are fully reproducible using the accompanying public code and datasets, which enable independent regeneration of all figures and tables.