Quantum mechanics, orthogonality, and counting


Authors
Peter J. Lewis
Dartmouth College
Abstract
In quantum mechanics it is usually assumed that mutually exclusives states of affairs must be represented by orthogonal vectors. Recent attempts to solve the measurement problem, most notably the GRW theory, require the relaxation of this assumption. It is shown that a consequence of relaxing this assumption is that arithmatic does not apply to ordinary macroscopic objects. It is argued that such a radical move is unwarranted given the current state of understanding of the foundations of quantum mechanics.
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DOI 10.1093/bjps/48.3.313
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References found in this work BETA

Quantum Mechanics and Experience.David Albert - 1996 - Philosophy and Phenomenological Research 56 (4):973-975.
Wanted Dead or Alive: Two Attempts to Solve Schrodinger's Paradox.David Albert & Barry Loewer - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:277-285.

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The Primitive Ontology of Quantum Physics: Guidelines for an Assessment of the Proposals.Michael Esfeld - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:99-106.

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