Deformation quantization as an appropriate guide to ontic structure

Synthese 198 (11):10793-10815 (2020)
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Abstract

Karim Thébault has argued that for ontic structural realism to be a viable ontology it should accommodate two principles: physico-mathematical structures it deploys must be firstly consistent and secondly substantial. He then contends that in geometric quantization, a transitional machinery from classical to quantum mechanics, the two principles are followed, showing that it is a guide to ontic structure. In this article, I will argue that geometric quantization violates the consistency principle. To compensate for this shortcoming, the deformation quantization procedure will be offered.

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Aboutorab Yaghmaie
Shahid Beheshti University

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References found in this work

Every thing must go: metaphysics naturalized.James Ladyman & Don Ross - 2007 - New York: Oxford University Press. Edited by Don Ross, David Spurrett & John G. Collier.
Every Thing Must Go: Metaphysics Naturalized.James Ladyman & Don Ross - 2007 - In James Ladyman & Don Ross (eds.), Every thing must go: metaphysics naturalized. New York: Oxford University Press.
What is structural realism?James Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
Interpreting Quantum Theories: The Art of the Possible.Laura Ruetsche - 2011 - Oxford, GB: Oxford University Press UK.

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