Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912747492474880 |
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| author | DeWitt, William S. Feintzeig, Benjamin H. |
| author_facet | DeWitt, William S. Feintzeig, Benjamin H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13593 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics DeWitt, William S. Feintzeig, Benjamin H. Quantum Physics 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. |
| title | Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.13593 |