A New Book of Numbers: On the Precise Definition of Quantum Variables and the Relationships between Mathematics and Physics in Quantum Theory [Book Review]

Foundations of Physics 36 (1):30-60 (2006)
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Abstract

Following Asher Peres’s observation that, as in classical physics, in quantum theory, too, a given physical object considered “has a precise position and a precise momentum,” this article examines the question of the definition of quantum variables, and then the new type (as against classical physics) of relationships between mathematics and physics in quantum theory. The article argues that the possibility of the precise definition and determination of quantum variables depends on the particular nature of these relationships

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References found in this work

The Physical Principles of the Quantum Theory: Transl. Into Engl. By Carl Eckart and Frank C. Hoyt.Werner Heisenberg - 1930 - Chicago: Ill., The University of Chicago Press. Edited by Carl Eckart & Frank Clark Hoyt.
Einstein, Podolsky, Rosen, and Shannon.Asher Peres - 2005 - Foundations of Physics 35 (3):511-514.
Karl Popper and the copenhagen interpretation.Asher Peres - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (1):23-34.
Karl Popper and the Copenhagen interpretation.Asher Peres - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (1):23-34.
Quantum Mechanics as Quantum Information, Mostly.Christopher A. Fuchs - 2003 - Journal of Modern Optics 50:987-1023.

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