The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Dynamical versus variational symmetries: understanding Noether's first theorem
Abstract
It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work. Special attention is paid, by way of a number of striking examples, to Noether's first theorem, which establishes a correlation between dynamical symmetries and conservation principles.
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“physics implies a biconditional rather than categorical status of conservation laws.”
From General Relativity, Mental Causation, and Energy Conservation (2022) · cites this paper as Brown and Holland 2004
Citations
Cites
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Cited by
Sorted by citations
Laws and meta-laws of nature: Conservation laws and symmetries
Lange, M. (2006) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2006.08.003 · Cited by 121
Physics, metaphysics, dispositions, and symmetries – À la French
Chakravartty, A. (2018) · Studies in History and Philosophy of Science Part A · doi:10.1016/j.shpsa.2018.12.006 · Cited by 48
Isolated systems and their symmetries, part II: Local and global symmetries of field theories
Wallace, D. (2022) · Studies in History and Philosophy of Science Part A · doi:10.1016/j.shpsa.2022.01.016 · Cited by 36
Symmetries and Explanatory Dependencies in Physics
French, S., & Saatsi, J. T. (2018) · Oxford University Press eBooks · doi:10.1093/oso/9780198777946.003.0010 · Cited by 31
On Symmetry and Conserved Quantities in Classical Mechanics
Butterfield, J. (2006) · Springer eBooks · doi:10.1007/1-4020-4876-9_3 · Cited by 31
Metadata
- Authors
- Brown*, H. R., & Holland†, P.
- Affiliations
- a Faculty of Philosophy , University of Oxford , 10 Merton Street, Oxford OX1 4JJ , UK
- b Green College , Oxford OX2 6HG , UK
- Venue
- Molecular Physics
- Publisher
- Informa UK Limited
- Published
- 2004-06-10
- Volume
- 102
- Issue
- 11-12
- Pages
- 1133-1139
- ISSN
- 0026-8976 (ISSN-L)
- 1362-3028
- OpenAlex
- W2164298300
- Cited by
- 33
- References
- 25
- Citations by year
- 2026: 1 · 2025: 1 · 2023: 4 · 2022: 6 · 2020: 2 · 2019: 4 · 2018: 3 · 2017: 2 · 2016: 2 · 2015: 1 · 2014: 1 · 2013: 1
- FWCI
- 0.59
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Molecular Physics (publishedVersion)
- PhilSci-Archive (University of Pittsburgh) (acceptedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Social Sciences › Arts and Humanities › History and Philosophy of Science › History and Theory of Mathematics
- Social Sciences › Arts and Humanities › History and Philosophy of Science › History of Science and Medicine
- Keywords
- Noether's first theorem, dynamical symmetry, variational symmetries, conservation laws, Noether's theorem
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- Brown*, H. R., & Holland†, P. (2004). Dynamical versus variational symmetries: understanding Noether's first theorem. Molecular Physics. https://doi.org/10.1080/00268970410001728807
