Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics

• URL: http://arxiv.org/abs/2507.13593v1
• Date: Fri, 18 Jul 2025 00:51:15 GMT
• Title: Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics
• Authors: William S. DeWitt, Benjamin H. Feintzeig,
• Abstract summary: We formulate an equivalent system of forward-time equations of motion that gives rise to the same trajectories as solutions.<n>We show, however, that this particular guidance term can be recovered as the mean-field limit of averaged pairwise interactions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A recently proposed stochastic hidden variable model for quantum mechanics has been claimed to involve "retrocausality" due to the appearance of equations of motion with future-time boundary conditions. We formulate an equivalent system of forward-time equations of motion that gives rise to the same trajectories as solutions, but involves only initial-time boundary conditions. The forward-time dynamics involves a guidance term for the dynamical variables, determined by the phase-space distribution corresponding to a quantum wavefunction. We show, however, that this particular guidance term can be recovered as the mean-field limit of averaged pairwise interactions among an ensemble of finitely many particles.

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