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Angular momentum without rotation: turbocharging relationalism

Gomes, Henrique and Gryb, Sean (2020) Angular momentum without rotation: turbocharging relationalism. [Preprint]

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Abstract

Newton's rotating bucket pours cold water on the naive relationalist by vividly illustrating how certain rotational effects, particularly those due to non-zero angular momentum, can depend on more than just relations between material bodies. Because of such effects, rotation has played a central role in the absolute-relational debate and poses a particularly difficult challenge to the relationalist.

In this paper, we provide a qualified response to this challenge that significantly weakens the absolutist position. We present a theory that, contrary to orthodoxy, can account for all rotational effects without introducing, as the absolutist does, a fixed standard of rotation. Instead, our theory posits a universal SO(3) charge that plays the role of angular momentum and couples to inter-particle relations via terms commonly seen in standard gauge theories such as electromagnetism and the Standard Model of particle physics.

Our theory makes use of an enriched form of relationalism: it adds an SO(3) structure to the traditional relational description. Our construction is made possible by the modern tools of gauge theory, which reveal a simple relational law describing rotational effects. In this way, we can save the phenomena of Newtonian mechanics using conserved charges and relationalism. In a second paper, we will further explore the ontological and explanatory implications of the theory developed here.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gomes, Henriquegomes.ha@gmail.com0000-0002-9285-0090
Gryb, Seans.gryb@hef.ru.nl0000-0002-0439-3548
Keywords: rotation, absolute-relational debate, gauge theory, angular momentum, Kaluza-Klein theory
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr Sean Gryb
Date Deposited: 04 Nov 2020 13:34
Last Modified: 04 Nov 2020 13:34
Item ID: 18353
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Symmetries/Invariances
Date: 4 November 2020
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/18353

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