PhilSci Archive

Is the Classical Limit "Singular"?

Steeger, Jeremy and Feintzeig, Benjamin H. (2021) Is the Classical Limit "Singular"? [Preprint]

[img]
Preview
Text
Is_the_classical_limit__singular____Current_.pdf - Submitted Version
Available under License Creative Commons Attribution.

Download (468kB) | Preview

Abstract

We argue against claims that the classical ℏ→0 limit is "singular" in a way that frustrates an eliminative reduction of classical to quantum physics. We show one precise sense in which quantum mechanics and scaling behavior can be used to recover classical mechanics exactly, without making prior reference to the classical theory. To do so, we use the tools of strict deformation quantization, which provides a rigorous way to capture the ℏ→0 limit. We then use the tools of category theory to demonstrate one way that this reduction is explanatory: it illustrates a sense in which the structure of quantum mechanics determines that of classical mechanics.


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

Item Type: Preprint
Creators:
CreatorsEmailORCID
Steeger, Jeremyjsteeger@uw.edu0000-0003-2771-4145
Feintzeig, Benjamin H.bfeintze@uw.edu
Additional Information: Final version submitted to Studies in History and Philosophy of Science.
Keywords: classical limit, singular limits, inter-theory reduction, C*-algebras, strict deformation quantization
Subjects: Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Jeremy Steeger
Date Deposited: 25 May 2021 01:35
Last Modified: 25 May 2021 01:35
Item ID: 19097
Subjects: Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Specific Sciences > Physics > Symmetries/Invariances
Date: 24 May 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19097

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item