When Worlds Collide: Quantum Probability from Observer Selection? [Book Review]

Foundations of Physics 33 (7):1129-1150 (2003)
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Abstract

In Everett's many worlds interpretation, quantum measurements are considered to be decoherence events. If so, then inexact decoherence may allow large worlds to mangle the memory of observers in small worlds, creating a cutoff in observable world size. Smaller world are mangled and so not observed. If this cutoff is much closer to the median measure size than to the median world size, the distribution of outcomes seen in unmangled worlds follows the Born rule. Thus deviations from exact decoherence can allow the Born rule to be derived via world counting, with a finite number of worlds and no new fundamental physics

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Robin Hanson
George Mason University

References found in this work

Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
”Relative state’ formulation of quantum mechanics.Hugh Everett - 1957 - Reviews of Modern Physics 29 (3):454--462.
'Relative State' Formulation of Quantum Mechanics.Hugh Everett - 1957 - Reviews of Modern Physics 29 (3):454-462.

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