Related papers: Physical Probability in the Everett Interpretation and Bell Inequalities

Physical Probability in the Everett Interpretation and Bell Inequalities

URL: http://arxiv.org/abs/2512.00575v1
Date: Sat, 29 Nov 2025 18:07:30 GMT
Title: Physical Probability in the Everett Interpretation and Bell Inequalities
Authors: Simon Saunders,
Abstract summary: I define a notion of local causality LOC closely modelled on the Bell principle.<n>I show it is consistent with LOC.<n>I conclude that probability in the Everett interpretation involves no action at a distance, but that the observed violations of Bell inequalities is powerful evidence for many worlds.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: I define a notion of local causality LOC closely modelled on the Bell principle, construed as the condition that single case probabilities cannot be modified by actions at spacelike separation. The new principle, like that of Bell, forces Bell inequalities, but with two loopholes: one is retrocausation, known to Bell, but the other is nonuniqueness of remote outcomes, a loophole only for LOC, not for the Bell principle. I also set out a theory of physical probability, applicable to the Everett interpretation, in agreement with the Born rule, and therefore violating Bell inequalities. I show it is consistent with LOC. Surprisingly, both loopholes are exploited. I conclude not only that probability in the Everett interpretation involves no action at a distance, but that the observed violations of Bell inequalities is powerful evidence for many worlds.

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