A priori probability and localized observers

Foundations of Physics 22 (9):1111-1172 (1992)
Abstract
A physical and mathematical framework for the analysis of probabilities in quantum theory is proposed and developed. One purpose is to surmount the problem, crucial to any reconciliation between quantum theory and space-time physics, of requiring instantaneous “wave-packet collapse” across the entire universe. The physical starting point is the idea of an observer as an entity, localized in space-time, for whom any physical system can be described at any moment, by a set of (not necessarily pure) quantum states compatible with his observations of the system at that moment. The mathematical starting point is the theory of local algebras from axiomatic relativistic quantum field theory. A function defining thea priori probability of mistaking one local state for another is analysed. This function is shown to possess a broad range of appropriate properties and to be uniquely defined by a selection of them. Through a general model for observations, it is argued that the probabilities defined here are as compatible with experiment as the probabilities of conventional interpretations of quantum mechanics but are more likely to be compatible, not only with modern developments in mathematical physics, but also with a complete and consistent theory of measurement
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DOI 10.1007/BF00732696
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References found in this work BETA
Quantum Theory and Measurement.J. A. Wheeler & W. H. Zurek - 1986 - Synthese 67 (3):527-530.

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Citations of this work BETA
Undermind.Steven Weinstein - 1996 - Synthese 106 (2):241 - 251.
The Quantum Mechanics of Minds and Worlds.M. Hemmo - 2002 - Studies in History and Philosophy of Science Part B 33 (3):541-553.
Multiplicity in Everett׳s Interpretation of Quantum Mechanics.Louis Marchildon - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52:274-284.
The Quantum Mechanics of Minds and Worlds.Meir Hemmo - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):541-553.

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