Spatial Degrees of Freedom in Everett Quantum Mechanics

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dc.creatorRubin, Mark A.
dc.date2005-11-18
dc.date2006-03-22
dc.date.accessioned2026-07-07T06:52:49Z
dc.date.available2026-07-07T06:52:49Z
dc.descriptionStapp claims that, when spatial degrees of freedom are taken into account, Everett quantum mechanics is ambiguous due to a "core basis problem." To examine an aspect of this claim I generalize the ideal measurement model to include translational degrees of freedom for both the measured system and the measuring apparatus. Analysis of this generalized model using the Everett interpretation in the Heisenberg picture shows that it makes unambiguous predictions for the possible results of measurements and their respective probabilities. The presence of translational degrees of freedom for the measuring apparatus affects the probabilities of measurement outcomes in the same way that a mixed state for the measured system would. Examination of a measurement scenario involving several observers illustrates the consistency of the model with perceived spatial localization of the measuring apparatus.
dc.description34 pp., no figs. Introduction, discussion revised. Material tangential to main point removed
dc.identifierhttps://arxiv.org/abs/quant-ph/0511188
dc.identifierhttp://arxiv.org/abs/quant-ph/0511188
dc.identifierFound. Phys. 36 (2006) 1115-1159
dc.identifierdoi:10.1007/s10701-006-9062-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105428
dc.subjectQuantum Physics
dc.titleSpatial Degrees of Freedom in Everett Quantum Mechanics
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