Branch Dependence in the “Consistent Histories” Approach to Quantum Mechanics

Foundations of Physics 37 (2):253-276 (2007)
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Abstract

In the consistent histories formalism one specifies a family of histories as an exhaustive set of pairwise exclusive descriptions of the dynamics of a quantum system. We define branching families of histories, which strike a middle ground between the two available mathematically precise definitions of families of histories, viz., product families and Isham’s history projector operator formalism. The former are too narrow for applications, and the latter’s generality comes at a certain cost, barring an intuitive reading of the “histories”. Branching families retain the intuitiveness of product families, they allow for the interpretation of a history’s weight as a probability, and they allow one to distinguish two kinds of coarse-graining, leading to reconsidering the motivation for the consistency condition

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Thomas Muller
Universität Konstanz

Citations of this work

Defining Determinism.Thomas Müller & Tomasz Placek - 2018 - British Journal for the Philosophy of Science 69 (1):215-252.
On Minkowskian branching structures.Leszek Wroński & Tomasz Placek - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):251-258.
Towards a Theory of Limited Indeterminism in Branching Space-times.Thomas Müller - 2010 - Journal of Philosophical Logic 39 (4):395-423.

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Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
Facing the future: agents and choices in our indeterminist world.Nuel D. Belnap - 2001 - New York: Oxford University Press. Edited by Michael Perloff & Ming Xu.
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Branching space-time.Nuel Belnap - 1992 - Synthese 92 (3):385 - 434.

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