Drift–diffusion in mangled worlds quantum mechanics

Abstract

In Everett’s many-worlds interpretation, where quantum measurements are seen as decoherence events, inexact decoherence may let large worlds mangle the memories of observers in small worlds, creating a cutoff in observable world measure. I solve a growth–drift–diffusion–absorption model of such a mangled worlds scenario, and show that it reproduces the Born probability rule closely, though not exactly. Thus, inexact decoherence may allow the Born rule to be derived in a many-worlds approach via world counting, using a finite number of worlds and no new fundamental physics

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Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.

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References found in this work

Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule.David Wallace - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):311-332.
Decoherence, relative states, and evolutionary adaptation.Simon Saunders - 1993 - Foundations of Physics 23 (12):1553-1585.

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