Angular momentum without rotation
Turbocharging relationalism
Bibliographic Data
| ID | 10798954 |
|---|---|
| Authors | Henrique Gomes (0000-0002-9285-0090), Sean Gryb (0000-0002-0439-3548) |
| Year | 2021 |
| Volume | 88 |
| Pages | 138-155 |
| Publication date | 2021-08-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Studies in History and Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0039-3681 • E-ISSN: 1879-2510 |
| Publisher | Elsevier BV (PUBLISHER) |
| DOI | 10.1016/j.shpsa.2021.05.006 |
| PMID | 34171550 |
| OpenAlex | W3096100694 |
| Language | EN |
| Citations received | 4 |
| References cited | 34 |
Rotation is a challenging riddle for the relationalist. In early versions of the absolute-relational debate for example, Newton's rotating bucket poured cold water on the relationalist position. While the parameters of the debate have changed, a more recent analysis in 1999 by Belot proclaimed rotation to be "the downfall of relationalism." In this paper, we provide a relational response to the riddle of rotation. 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 global 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 all 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
Angular momentum · Classical mechanics · Orthodoxy · Physics · Theoretical physics · History and Theory of Mathematics · Philosophy · Quantum Mechanics and Applications · Relativity and Gravitational Theory
Gauging the boundary in field-space
By their properties, causes and Effects
Isolated systems and their symmetries, part I
Maxwell-Huygens, Newton-Cartan, and Saunders-Knox Space-Times
Rethinking Newton’s Principia
Buckets of Water and Waves of Space
Relationalism Rehabilitated? I
Newtonian Spacetime Structure in Light of the Equivalence Principle
| Citations per year | 0.8 |
|---|---|
| Citation span | 2021 - 2025 (5) |
| Highly cited | No |