Deterministic Explanation of Quantum Mechanics — Two Photon “Ghost” Diffraction Calculations

Abstract

Clear “ghost” diffraction patterns for single and double slits are obtained directly by calculating trajectories for both members of a photon pair. Nonlinear differential equations describing the trajectory-wave ordering interaction [1][2] are numerically solved for thousands of particle trajectories. Assuming a fixed relation [3] between the initial momentum for the two photons, the trajectory-wave ordering interaction exactly determines the trajectory for both the idler and signal photon, even though the latter undergoes extreme turbulent acceleration in the slit diffraction region. Selecting the signal particles that enter a small detector aperture selects a particular set of photon idler particles and where they arrive on the idler screen. By calculating many trajectories, I obtain the result that the distributions on the idler screen reproduces the slit diffraction patterns. These results clearly indicate that “Ghost” diffraction can be described as a simple phenomena of pattern selection via correlated trajectory selection. In these results I find no support for superluminal signals. The composite model of the photon field on which these calculations are based together with generation of the electromagnetic-matter interactions via nonlinear realizations of groups is briefly described.