PhilSci Archive

Does the PBR theorem refute Bohmian mechanics?

Gao, Shan (2019) Does the PBR theorem refute Bohmian mechanics? [Preprint]

[img]
Preview
Text
bohm ontology v999.pdf

Download (235kB) | Preview

Abstract

The nature of the wave function has been a hot topic of debate since the early days of quantum mechanics. The recent PBR theorem proves that the wave function is ontic, representing the ontic state of a physical system or a concrete physical entity. On the other hand, Bohmian mechanics regards the wave function as not ontic but nomological, like a law of nature. This raises an interesting question: does the PBR theorem refute Bohmian mechanics? It seems widely thought that the ontic view and the nomological view are compatible, and thus the PBR theorem has no implications for Bohmian mechanics. In this paper, I argue that this is not the case. First, I point out that the nomological view and the ontic view are two different views of the wave function. This means that the result of the PBR theorem and Bohmian mechanics are incompatible. Next, I argue that the PBR theorem and Bohmian mechanics are nevertheless compatible, and the former does not refute the latter. The reason is that the PBR theorem and Bohmian mechanics are based on different fundamental assumptions, and in particular, Bohmian mechanics rejects one key assumption of the ontological models framework on which the PBR theorem is based. Finally, I argue that the rejection of this assumption will bring to our attention a potential important issue of Bohmian mechanics.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Gao, Shansgao7319@uni.sydney.edu.au
Keywords: wave function; PBR theorem; Bohmian mechanics; ontic view; nomological view; laws of nature
Subjects: Specific Sciences > Physics > Cosmology
General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Prof. Shan Gao
Date Deposited: 21 Nov 2019 05:09
Last Modified: 21 Nov 2019 05:09
Item ID: 16645
Subjects: Specific Sciences > Physics > Cosmology
General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Date: 20 November 2019
URI: http://philsci-archive.pitt.edu/id/eprint/16645

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item