Stochastic Quantization of Electrodynamics and Linearized Gravity

Abstract: We develop a unified stochastic framework in which a velocity- and helicity-reversing Poisson process gives rise to the Telegrapher's equation. Analytic continuation to the complex plane results in Dirac-like evolution equations for electromagnetic and linearized gravitational fields. A small but nonzero mass parameter is essential to enable helicity reversals. Yet, the correct massless wave equations are recovered as the physically relevant massless limit is approached smoothly, with the singular point excluded from the construction. Remarkably, probability does not enter as an external postulate as in the Born rule in standard quantum mechanics -- but is intrinsic to the stochastic process. This probabilistic structure becomes embedded in the wave fields through a natural rescaling by the Planck length.