Quantum stochastic processes in two dimensional space-time

TL;DR

This paper introduces stochastic processes in two-dimensional space-time that replicate fundamental quantum equations, potentially enabling the detection of discrete space-time features at the Planck scale.

Contribution

It presents novel stochastic models whose mean field equations match key quantum mechanics equations, linking stochastic processes with quantum physics.

Findings

Processes replicate Schrödinger, Dirac, Klein-Gordon, and photon equations

Potential to detect Planck-scale space-time discreteness

Establishes a new connection between stochastic processes and quantum mechanics

Abstract

Several stochastic processes with virtual particles in two dimensional space-time are presented whose mean field equations coincide with Schr\"odinger, Dirac, Klein-Gordon and the quantum mechanic equation for a photon. These processes could be used to detect discrete space-time features at the Planck scale.