Probabilities and Certainties Within a Causally Symmetric Model

Foundations of Physics 52 (4):1-17 (2022)
  Copy   BIBTEX

Abstract

This paper is concerned with the causally symmetric version of the familiar de Broglie–Bohm interpretation, this version allowing the spacelike nonlocality and the configuration space ontology of the original model to be avoided via the addition of retrocausality. Two different features of this alternative formulation are considered here. With regard to probabilities, it is shown that the model provides a derivation of the Born rule identical to that in Bohm’s original formulation. This derivation holds just as well for a many-particle, entangled state as for a single particle. With regard to “certainties”, the description of a particle’s spin is examined within the model and it is seen that a statistical description is no longer necessary once final boundary conditions are specified in addition to the usual initial state, with the particle then possessing a definite value for every spin component at intermediate times. These values are consistent with being the components of a single, underlying spin vector. The case of a two-particle entangled spin state is also examined and it is found that, due to the retrocausal aspect, each particle possesses its own definite spin during the entanglement, independent of the other particle. In formulating this picture, it is demonstrated how such a realistic model can preserve Lorentz invariance in the face of Bell’s theorem and avoid the need for a preferred reference frame.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,323

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Causally symmetric Bohm model.Roderick Ian Sutherland - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):782-805.
Probability and Symmetric Logic.Michał Gil Sanchez, Zalán Gyenis & Leszek Wroński - 2022 - Journal of Philosophical Logic 52 (1):183-198.
Whole and Part in Cosmological Arguments.R. G. Swinburne - 1969 - Philosophy 44 (170):339 - 340.
Time-Symmetric Quantum Mechanics.K. B. Wharton - 2007 - Foundations of Physics 37 (1):159-168.
The Church-Rosser Property in Symmetric Combinatory Logic.Katalin Bimbó - 2005 - Journal of Symbolic Logic 70 (2):536 - 556.
Neutral relations revisited.Fraser MacBride - 2007 - Dialectica 61 (1):25–56.
The Church-Rosser property in symmetric combinatory logic.Katalin Bimbó - 2005 - Journal of Symbolic Logic 70 (2):536-556.
How to Commit the Gambler's Fallacy and Get Away with It.Davis Baird & Richard E. Otte - 1982 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:169 - 180.
Computation of probabilities in causal models of history of science.Osvaldo Pessoa Jr - 2006 - Principia: An International Journal of Epistemology 10 (2):109-124.
Determination of symmetric VL1 formulas: algorithm and program SYM4.Gerald M. Jenson - 1975 - Urbana: Dept. of Computer Science, University of Illinois at Urbana-Champaign.
On subvarieties of symmetric closure algebras.J. Dı́az Varela - 2001 - Annals of Pure and Applied Logic 108 (1-3):137-152.
On subvarieties of symmetric closure algebras.J. P. Dı́az Varela - 2001 - Annals of Pure and Applied Logic 108 (1-3):137-152.

Analytics

Added to PP
2022-07-08

Downloads
32 (#503,033)

6 months
21 (#128,622)

Historical graph of downloads
How can I increase my downloads?