David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Foundations of Science 15 (1):1-28 (2010)
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.
|Keywords||Branching space-times Information Algorithmic complexity Historical states|
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References found in this work BETA
Roger Balian (2005). Information in Statistical Physics. Studies in History and Philosophy of Science Part B 36 (2):323-353.
Nuel Belnap (1992). Branching Space-Time. Synthese 92 (3):385 - 434.
Nuel Belnap (2002). EPR-Like “Funny Business” in the Theory of Branching Space-Times. In. In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer. 293--315.
Nuel Belnap & László E. Szabó (1996). Branching Space-Time Analysis of the GHZ Theorem. Foundations of Physics 26 (8):989-1002.
M. Bitbol (1988). The Concept of Measurement and Time Symmetry in Quantum Mechanics. Philosophy of Science 55 (3):349-375.
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