Myrvold, Wayne C.
(2025)
Varieties of Wave Function Realism, or, WTF is WFR?
[Preprint]
Abstract
The phrase “Wave Function Realism” (WFR) has come to be used for a family of views according to which quantum theory motivates us to think that quantum wave functions are fields on a space of extremely high dimension, which is in some sense more fundamental that ordinary three-dimensional space or four-dimensional spacetime.
With an aim at gaining clarity about the nature of the project, I distinguish between varieties of Wave Function Realism that one might hold. I focus on two axes of distinction. One has to do with the nature of the project. Is it an Interpretive project, one of accepting standard quantum theory pretty much as we have it, and exploring its implications for ontology? Or is it a Constructive project, which finds standard quantum theory wanting in crucial aspects, and seeks to construct a new theory that will satisfy some set of metaphysical constraints? The other has to do with how radical the claims are that are made about the nature of spacetime. Does the fundamental space on which the wave functions of WFR are defined have intrinsic structure corresponding to the low-dimensional spacetime structure? I call versions of WFR on which this is so “Mild” versions, as on such a view any sense in which the low-dimensional spatial structure is non-fundamental would be at best a highly attenuated one. A more radical view, which I call “Spicy,” has it that the fundamental space has no intrinsic structure corresponding to our low dimension spacetime, and that such structure is emergent from the structure and evolution of certain sort of wave functions.
Judging from what they say about the view, it seems that proponents of WFR intend it to be Interpretive and Spicy. I will argue that there can be no such position. Standard quantum mechanics makes such heavy use of low-dimensional spacetime structure that an Interpretive version of WFR must be Extremely Mild. A Spicy but Constructive version has yet to be formulated.
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Varieties of Wave Function Realism, or, WTF is WFR? (deposited 30 Apr 2025 14:07)
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