Papers
Topics
Authors
Recent
Search
2000 character limit reached

The local validity of special relativity from a scale-relative perspective

Published 2 May 2023 in physics.hist-ph and gr-qc | (2305.01534v3)

Abstract: Most contemporary physicists hold that the local validity of special relativity (SR) within general relativity (GR) is expressed by means of an interdependent cluster of mathematical concepts, one of which is the existence of normal coordinate systems. Nonetheless, there remains conceptual work to be done with regard to this standard story' on the local validity of SR in (a) clarifying how a network of mathematical concepts is recruited in a particular modelling context in order to account for the local validity of SR within GR, and (b) highlighting the richness and subtlety of this mode of modelling, as well as the way in which it interacts with the concept ofapproximate Killing symmetry'. With this paper, we carry out this work, thereby also defending the standard story from concerns recently voiced in the philosophy of physics literature.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (35)
  1. arXiv preprint hep-th/0206037.
  2. in E. Knox and A. Wilson (eds), The Routledge Companion to Philosophy of Physics.
  3. Journal of Geometry and Symmetry in Physics, 2(none), pp. 1 – 17. <https://doi.org/10.7546/jgsp-2-2004-1-17>
  4. Journal of High Energy Physics, 2010(3), pp. 1–18.
  5. Chinea, F. [1988]: ‘Symmetries in tetrad theories’, Classical and Quantum Gravity, 5(1), pp. 135.
  6. Donoghue, J. F. [1995]: ‘Introduction to the Effective Field Theory Description of Gravity’, arXiv preprint arXiv:9512024.
  7. Einstein, A. [1916]: ‘Die Grundlage der allgemeinen Relativitätstheorie’, Annalen Der Physik, 49(7), pp. 769–822 Translated as “The Foundations of General Relativity” in Lorentz et al., “The Principle of Relativity”, Methuen and Company, Ltd. Reprinted by Dover Publications (1923).
  8. Einstein, A. [1921]: ‘Letter to Painlevé’, Vol. 12, Doc. 314 CPAE.
  9. arXiv preprint arXiv:2201.11457.
  10. Fletcher, S. C. [2020]: ‘Apprxomate local Poincaré spacetime symmetry in general relativity’, in C. Beisbart, T. Sauer and C. Wüthrich (eds), Thinking About Space and Time, Birkhäuser.
  11. Philosophy of Physics, 1.
  12. Physical Review D, 73(10), pp. 104029.
  13. Gomes, H. [2022]: “‘Is spacetime locally flat?": a note’, . <http://philsci-archive.pitt.edu/21311/>
  14. Grimmer, D. [2023]: ‘The Pragmatic QFT Measurement Problem and the need for a Heisenberg-like cut in QFT’, Synthese.
  15. Physical Review D, 101(12), pp. 124066.
  16. Harte, A. I. [2008]: ‘Approximate spacetime symmetries and conservation laws’, Classical and Quantum Gravity, 25(20), pp. 205008.
  17. Cambridge university press.
  18. British Journal for Philosophy of Science.
  19. Hildebrandsson, V. [2021]: ‘The Hamiltonian formulation of geodesics’, Digitala Vetenskapliga Arkivet URL:https://uu.diva-portal.org/smash/get/diva2:1589204/FULLTEXT01.pdf (version: 2021-06). <https://uu.diva-portal.org/smash/get/diva2:1589204/FULLTEXT01.pdf>
  20. Iliev, B. [2006]: Handbook of Normal Frames and Coordinates,.
  21. Jacobson, T. [1995]: ‘Thermodynamics of spacetime: the Einstein equation of state’, Phys. Rev. Lett., 75(7), pp. 1260.
  22. Jacobson, T. [2012]: ‘Gravitation and vacuum entanglement entropy’, International Journal of Modern Physics D, 21(11), pp. 1242006.
  23. Knox, E. [2013]: ‘Effective Spacetime Geometry’, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 44(3), pp. 346–356.
  24. Lehmkuhl, D. [2021]: ‘The equivalence principle (s)’, in The Routledge companion to philosophy of physics, Routledge, pp. 125–144.
  25. Classical and Quantum Gravity, 38(23), pp. 238001.
  26. Mana, P. P. [2021]: ‘Dimensional analysis in relativity and in differential geometry’, European Journal of Physics, 42(4), pp. 045601.
  27. San Francisco: W. H. Freeman.
  28. The British Journal for the Philosophy of Science.
  29. Living Reviews in Relativity, 14(1), pp. 1–190.
  30. Cambridge University Press.
  31. Porto, R. A. [2016]: ‘The effective field theorist’s approach to gravitational dynamics’, Physics Reports, 633, pp. 1–104.
  32. Studies in history and philosophy of science Part B: Studies in history and philosophy of modern physics, 64, pp. 14–25.
  33. Synge, J. [1973]: ‘The general theory of relativity’, Hermathena, pp. 57–71.
  34. Trautman, A. [2006]: ‘Einstein-Cartan theory’, arXiv preprint gr-qc/0606062.
  35. Weatherall, J. O. [2020]: ‘Two dogmas of dynamicism’, Synthese, 199, pp. 253–275.
Citations (4)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.

Sign Up for Free