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On the Choice of Algebra for Quantization

Feintzeig, Benjamin H. (2017) On the Choice of Algebra for Quantization. [Preprint]

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Abstract

In this paper, I examine the relationship between physical quantities and physical states in quantum theories. I argue against the claim made by Arageorgis (1995) that the approach to interpreting quantum theories known as Algebraic Imperialism allows for "too many states". I prove a result establishing that the Algebraic Imperialist has very general resources that she can employ to change her abstract algebra of quantities in order to rule out unphysical states.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Feintzeig, Benjamin H.bfeintze@uw.edu
Additional Information: Forthcoming in Philosophy of Science.
Keywords: quantization, algebraic quantum theory, Algebraic Imperialism
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Benjamin Feintzeig
Date Deposited: 31 Mar 2017 14:16
Last Modified: 31 Mar 2017 14:16
Item ID: 12949
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Date: 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12949

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