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On the Choice of Algebra for Quantization
Philosophy of Science 85 (1):102-125 (2018)
Abstract
In this article, I examine the relationship between physical quantities and physical states in quantum theories. I argue against the claim made by Arageorgis 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.Author's Profile
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Citations of this work
The Coalescence Approach to Inequivalent Representation: Pre-QM ∞ Parallels.Caspar Jacobs - 2023 - British Journal for the Philosophy of Science 74 (4):1069-1090.
Deduction and definability in infinite statistical systems.Benjamin H. Feintzeig - 2017 - Synthese 196 (5):1-31.
The Classical Limit as an Approximation.Benjamin H. Feintzeig - 2020 - Philosophy of Science 87 (4):612-639.
Deduction and definability in infinite statistical systems.Benjamin H. Feintzeig - 2017 - Synthese 196 (5):1831-1861.
Why be regular? Part II.Benjamin Feintzeig & James Owen Weatherall - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65 (C):133-144.
References found in this work
Interpreting Quantum Theories: The Art of the Possible.Laura Ruetsche - 2011 - Oxford, GB: Oxford University Press UK.
Between classical and quantum.Nicolaas P. Landsman - 2007 - Handbook of the Philosophy of Science 2:417--553.
Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory.Rob Clifton & Hans Halvorson - 2001 - British Journal for the Philosophy of Science 52 (3):417-470.
Algebraic quantum field theory.Hans Halvorson & Michael Mueger - 2006 - In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer Academic Publishers.
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