Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics II: Concepts and Axioms

Having analyzed the formal aspects of Wallace’s proof of the Born rule, we now discuss the concepts and axioms upon which it is built. Justification for most axioms is shown to be problematic, and at times contradictory. Some of the problems are caused by ambiguities in the concepts used. We conclud...

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Veröffentlicht in:	Foundations of physics 2019-01, Vol.49 (1), p.24-52
1. Verfasser:	Mandolesi, André L. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Axioms Classical and Quantum Gravitation Classical Mechanics History and Philosophical Foundations of Physics Philosophy of Science Physics Physics and Astronomy Quantum mechanics Quantum Physics Quantum theory Relativity Theory Statistical Physics and Dynamical Systems
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Zusammenfassung:	Having analyzed the formal aspects of Wallace’s proof of the Born rule, we now discuss the concepts and axioms upon which it is built. Justification for most axioms is shown to be problematic, and at times contradictory. Some of the problems are caused by ambiguities in the concepts used. We conclude the axioms are not reasonable enough to be taken as mandates of rationality in Everettian Quantum Mechanics. This invalidates the interpretation of Wallace’s result as meaning it would be rational for Everettian agents to decide using the Born rule.
ISSN:	0015-9018 1572-9516
DOI:	10.1007/s10701-018-0226-4