The New Quantum Logic

Foundations of Physics 44 (6):610-640 (2014)
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Abstract

It is shown how all the major conceptual difficulties of standard (textbook) quantum mechanics, including the two measurement problems and the (supposed) nonlocality that conflicts with special relativity, are resolved in the consistent or decoherent histories interpretation of quantum mechanics by using a modified form of quantum logic to discuss quantum properties (subspaces of the quantum Hilbert space), and treating quantum time development as a stochastic process. The histories approach in turn gives rise to some conceptual difficulties, in particular the correct choice of a framework (probabilistic sample space) or family of histories, and these are discussed. The central issue is that the principle of unicity, the idea that there is a unique single true description of the world, is incompatible with our current understanding of quantum mechanics

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Citations of this work

Consistent quantum measurements.Robert B. Griffiths - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):188-197.
Against Harmony: Infinite Idealizations and Causal Explanation.Iulian D. Toader - 2015 - In Ilie Parvu, Gabriel Sandu & Iulian D. Toader (eds.), Romanian Studies in Philosophy of Science. Boston Studies in the Philosophy and History of Science, vol. 313: Springer. pp. 291-301.
Relational Quantum Mechanics and Contextuality.Calum Robson - 2024 - Foundations of Physics 54 (4):1-22.

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