Motivating dualities
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Choosing a Killing vector field is making a choice of a model among all the possible dynamical models.
“As Read (2020: p. 222) mentions, choosing a Killing vector field is making a choice of a model among all the possible dynamical models.”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Read (2020: p. 222)
The Introduction defines dynamically possible models as models whose geometrical objects satisfy a theory’s dynamical equations. Section 3.2.1 includes a vector field in its account of Newtonian models, but neither passage says that choosing a Killing vector field selects one dynamically possible model. Searches for “Killing vector” and for that proposed selection relationship found no passage addressing it. (LLM, conf=0.75)
Experimental — accuracy not yet measuredExpressions involving Killing vectors are background-independent.
“I agreed with Read's (2020) defence of the background-independence of expressions involving Killing vectors”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Read's (2020)
The passages on spacetime structure and symmetries (§§3.2.1 and 3.2.4; page numbers unavailable) do not discuss Killing vectors or whether expressions involving them are background-independent. Searches for “Killing vectors” and related terms found no passage addressing that claim. (LLM, conf=0.72)
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- Authors
- Read, J., & Møller-Nielsen, T.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Read, James
- ORCID
- Read, James
- Venue
- Synthese
- Published
- 2018-05-29
- Volume
- 197
- Issue
- 1
- Pages
- 263-291
- ISSN
- 0039-7857 (ISSN-L)
- 1573-0964
- OpenAlex
- W4238321884
- Cited by
- 49
- References
- 83
- Citations by year
- 2026: 7 · 2025: 2 · 2024: 6 · 2023: 2 · 2022: 5 · 2021: 6 · 2020: 6 · 2019: 10 · 2018: 5
- FWCI
- 32.72
- Type
- journal article
- Language
- en
- Open access
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Synthese (publishedVersion)
- PhilSci-Archive (University of Pittsburgh) (acceptedVersion)
- Funders
- Arts and Humanities Research Council
- Oriel College, University of Oxford
- Topics
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy and History of Science
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy, Science, and History
- Keywords
- duality, dual model, motivational approach, symmetry, physical theories, possible worlds, philosophy of physics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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