In Essays on the Metaphysics of Quantum Mechanics. New Brunswick, NJ: PhD dissertation, Rutgers University. pp. Chapter 1 (2019)

Authors
Eddy Keming Chen
University of California, San Diego
Abstract
The wave function in quantum mechanics presents an interesting challenge to our understanding of the physical world. In this paper, I show that the wave function can be understood as four intrinsic relations on physical space. My account has three desirable features that the standard account lacks: it does not refer to any abstract mathematical objects, it is free from the usual arbitrary conventions, and it explains why the wave function has its gauge degrees of freedom, something that are usually put into the theory by hand. Hence, this account has implications for debates in philosophy of mathematics and philosophy of science. First, by removing references to mathematical objects, it provides a framework for nominalizing quantum mechanics. Second, by excising superfluous structure such as overall phase, it reveals the intrinsic structure postulated by quantum mechanics. Moreover, it also removes a major obstacle to ``wave function realism.''
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References found in this work BETA

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.

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Citations of this work BETA

Morality and Mathematics.Justin Clarke-Doane - 2020 - Oxford, England: Oxford University Press.
Realism About the Wave Function.Eddy Keming Chen - 2019 - Philosophy Compass 14 (7).
Quantum Mechanics in a Time-Asymmetric Universe: On the Nature of the Initial Quantum State.Eddy Keming Chen - 2021 - British Journal for the Philosophy of Science 72 (4):1155–1183.

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Realism About the Wave Function.Eddy Keming Chen - 2019 - Philosophy Compass 14 (7).
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