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Thomas precession: correct and incorrect solutions


Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

A wealth of different expressions for the frequency of the Thomas precession (TP) can be found in the literature, with the consequence that this issue has been discussed over a long period of time. It is shown that the correct result was obtained in the works of several authors, which were published more than forty years ago but remained unnoticed against the background of numerous erroneous works. Several TP-related physical paradoxes formulated primarily to disprove the special relativity theory are shown to be fallacious. Different techniques for deriving the correct expression are considered and the reasons for the emergence of the main incorrect expressions for the TP frequency are analyzed.

Fulltext pdf (267 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n08ABEH005870
PACS: 01.65+g, 03.30.+p, 03.65.Vf (all)
DOI: 10.1070/PU2006v049n08ABEH005870
URL: https://ufn.ru/en/articles/2006/8/e/
000242898300005
2-s2.0-33845751527
2006PhyU...49..837M
Citation: Malykin G B "Thomas precession: correct and incorrect solutions" Phys. Usp. 49 837–853 (2006)
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Оригинал: Малыкин Г Б «Прецессия Томаса: корректные и некорректные решения» УФН 176 865–882 (2006); DOI: 10.3367/UFNr.0176.200608f.0865

References (286) Cited by (45) ↓

  1. Palge V, Pfeifer Ch Phys. Rev. A 109 (3) (2024)
  2. Aginian M A, Arutunian S G et al J. Inst. 19 C05023 (2024)
  3. Kholmetskii A L, Missevitch O V, Yarman T Can. J. Phys. 102 43 (2024)
  4. Sfarti A Mod. Phys. Lett. A 38 (10n11) (2023)
  5. Arutunian S G, Aginian M A et al 91 913 (2023)
  6. Arutunian S G, Aginian M A et al Opt. Mem. Neural Networks 32 S415 (2023)
  7. Sfarti A Mod. Phys. Lett. A 37 (37n38) (2022)
  8. Di Lorenzo A Sci Rep 12 (1) (2022)
  9. Goldberg A Z Progress In Optics Vol. 67 (2022) p. 185
  10. Zhuravlev V F Mech. Solids 57 1657 (2022)
  11. Brezov D Adv. Appl. Clifford Algebras 32 (3) (2022)
  12. Berry T, Visser M Physics 3 352 (2021)
  13. Kharinov M Adv. Appl. Clifford Algebras 30 (2) (2020)
  14. Kholmetskii A, Missevitch O et al EPL 129 30006 (2020)
  15. Dingel B B, Buenaventura A et al Optics Communications 454 124510 (2020)
  16. Berry T, Visser M Universe 6 237 (2020)
  17. Kholmetskii A L, Yarman T Eur. J. Phys. 41 055601 (2020)
  18. Poklonski N A, Dzeraviaha A N, Vyrko S A Vescì Akademìì Navuk Belarusì. Seryâ Fizika-matematyčnyh Navuk 56 239 (2020)
  19. Deriglazov A A, Tereza D M Phys. Rev. D 100 (10) (2019)
  20. Dingel B B, Chua A R et al Journal Of Modern Optics 66 1701 (2019)
  21. Bolotovskii B M, Malykin G B Phys.-Usp. 62 1012 (2019)
  22. Dingel B B, Buenaventura A, Murakawa K Journal Of Modern Optics 65 2171 (2018)
  23. Kholmetskii A L, Missevitch O V, Yarman T Annals Of Physics 384 155 (2017)
  24. Kholmetskii A L, Yarman T Eur. Phys. J. Plus 132 (9) (2017)
  25. Brezov D S, Mladenova C D, Mladenov I M Journal Of The Korean Physical Society 66 1656 (2015)
  26. Kholmetskii A L, Missevitch O V, Yarman T Can. J. Phys. 92 1380 (2014)
  27. Chub V F Mech. Solids 49 113 (2014)
  28. de Haas E P J (Paul) Can. J. Phys. 92 1082 (2014)
  29. Kholmetskii A L, Yarman T Can. J. Phys. 92 1232 (2014)
  30. Malykin G B Opt. Spectrosc. 114 266 (2013)
  31. Ouvry S, Pastur L, Yanovsky A Physics Letters A 377 804 (2013)
  32. Chakrabarti A, Chakraborti A Indian J Phys 86 791 (2012)
  33. Stepanov S S Phys. Part. Nuclei 43 128 (2012)
  34. Sánchez-Soto L L, Monzón Ju J et al Physics Reports 513 191 (2012)
  35. Ungar A A Essays in Mathematics and its Applications Chapter 18 (2012) p. 463
  36. Nemchenko E A Russ Phys J 54 360 (2011)
  37. O’Donnell K, Visser M Eur. J. Phys. 32 1033 (2011)
  38. Malykin G B Opt. Spectrosc. 109 951 (2010)
  39. Malykin G B Uspekhi Fizicheskikh Nauk 180 965 (2010) [Malykin G B Phys.-Usp. 53 923 (2010)]
  40. Kholmetskii A L, Missevitch O V, Yarman T 78 428 (2010)
  41. A Gyrovector Space Approach to Hyperbolic Geometry Synthesis Lectures On Mathematics & Statistics (2009)
  42. Chakrabarti A J. Phys. A: Math. Theor. 42 245205 (2009)
  43. Krivoruchenko M I, Faessler A Nuclear Physics A 803 173 (2008)
  44. Ritus V I Uspekhi Fizicheskikh Nauk 177 105 (2007)
  45. Popov V S Uspekhi Fizicheskikh Nauk 177 1319 (2007)
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