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:	Creators Email ORCID 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.pitt.edu/id/eprint/12949

Available Versions of this Item

• On the Choice of Algebra for Quantization. (deposited 29 Dec 2016 14:36)
  • On the Choice of Algebra for Quantization. (deposited 31 Mar 2017 14:16) [Currently Displayed]

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