Informational Branching Universe

This paper suggests an epistemic interpretation of Belnap’s branching space-times theory based on Everett’s relative state formulation of the measurement operation in quantum mechanics. The informational branching models of the universe are evolving structures defined from a partial ordering relatio...

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Bibliographic Details
Published in:Foundations of science Vol. 15; no. 1; pp. 1 - 28
Main Author: Uzan, Pierre
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.02.2010
Springer
Springer Nature B.V
Springer Verlag
Subjects:
Astronomical models
Cognitive science
Education
Hilbert space
Mathematical Logic and Foundations
Methodology of the Social Sciences
Operators (mathematics)
Philosophy
Philosophy of Science
Physics
Probability distribution
Quantum mechanics
Quantum theory
Universe
France
Algorithmic complexity
Branching space-times
Historical states
Information
historical states
algorithmic complexity
information
branching space-times
ISSN:1233-1821, 1572-8471
Online Access:Get full text
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Summary:This paper suggests an epistemic interpretation of Belnap’s branching space-times theory based on Everett’s relative state formulation of the measurement operation in quantum mechanics. The informational branching models of the universe are evolving structures defined from a partial ordering relation on the set of memory states of the impersonal observer. The totally ordered set of their information contents defines a linear “time” scale to which the decoherent alternative histories of the informational universe can be referred—which is quite necessary for assigning them a probability distribution. The “historical” state of a physical system is represented in an appropriate extended Hilbert space and an algebra of multi-branch operators is developed. An age operator computes the informational depth of historical states and its standard deviation can be used to provide a universal information/energy uncertainty relation. An information operator computes the encoding complexity of historical states, the rate of change of its average value accounting for the process of correlation destruction inherent to the branching dynamics. In the informational branching models of the universe, the asymmetry of phenomena in nature appears as a mere consequence of the subject’s activity of measuring, which defines the flow of time-information.
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ISSN:1233-1821
1572-8471
DOI:10.1007/s10699-009-9165-z