Probabilities and certainties within a causally symmetric model
- URL: http://arxiv.org/abs/2112.10022v4
- Date: Sat, 27 Jan 2024 01:57:44 GMT
- Title: Probabilities and certainties within a causally symmetric model
- Authors: Roderick Sutherland
- Abstract summary: This paper is concerned with the causally symmetric version of the familiar de Broglie-Bohm interpretation.
It is shown that the model provides a derivation of the Born rule identical to that in Bohm's original formulation.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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 particles 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 (but hidden) 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.
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