A mathematical characterization of the physical structure of observers

Foundations of Physics 25 (4):529-571 (1995)

Abstract
It is proposed that the physical structure of an observer in quantum mechanics is constituted by a pattern of elementary localized switching events. A key preliminary step in giving mathematical expression to this proposal is the introduction of an equivalence relation on sequences of spacetime sets which relates a sequence to any other sequence to which it can be deformed without change of causal arrangement. This allows an individual observer to be associated with a finite structure. The identification of suitable switching events in the human brain is discussed. A definition is given for the sets of sequences of quantum states which such an observer could occupy. Finally, by providing an a priori probability for such sets, the definitions are incorporated into a complete mathematical framework for a many-worlds interpretation. At a less ambitious level, the paper can be read as an exploration of some of the technical and conceptual difficulties involved in constructing such a framework
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DOI 10.1007/bf02059006
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References found in this work BETA

Counterfactuals.David K. Lewis - 1973 - Blackwell.
The View From Nowhere.Thomas Nagel - 1986 - Oxford University Press.
The Emperor's New Mind.Roger Penrose - 1989 - Oxford University Press.

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Citations of this work BETA

Worlds in the Everett Interpretation.David Wallace - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (4):637-661.
Whither the Minds?J. Butterfield - 1996 - British Journal for the Philosophy of Science 47 (2):200-221.
'Many Minds' Interpretations of Quantum Mechanics.Michael Lockwood - 1996 - British Journal for the Philosophy of Science 47 (2):159-88.
A New Quantum Theoretical Framework for Parapsychology.Chris Clarke - 2008 - European Journal of Parapsychology 23 (1):3-30.
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 (Part B):274-284.

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