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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 (48) ↓

  1. Luo Zh, Chen M et al Advcd Theory And Sims 9 (2) (2026)
  2. Shtanov Yu V, Pokalchuk T-H O, Sharapov S G SciPost Phys. 20 (2) (2026)
  3. Aginian M A, Arutunian S G et al J. Inst. 19 (05) C05023 (2024)
  4. Kholmetskii A L, Missevitch O V, Yarman T Can. J. Phys. 102 (1) 43 (2024)
  5. Palge V, Pfeifer Ch Phys. Rev. A 109 (3) (2024)
  6. Sfarti A Mod. Phys. Lett. A 38 (10n11) (2023)
  7. Arutunian S G, Aginian M A et al American Journal of Physics 91 (11) 913 (2023)
  8. Arutunian S G, Aginian M A et al Opt. Mem. Neural Networks 32 (S3) S415 (2023)
  9. Progress In Optics Vol. 67 (2022) p. 185
  10. Di Lorenzo A Sci Rep 12 (1) (2022)
  11. Sfarti A Mod. Phys. Lett. A 37 (37n38) (2022)
  12. Zhuravlev V F Mech. Solids 57 (7) 1657 (2022)
  13. Brezov D Adv. Appl. Clifford Algebras 32 (3) (2022)
  14. Berry T, Visser M Physics 3 (2) 352 (2021)
  15. Poklonski N A, Dzeraviaha A N, Vyrko S A Vescì Akademìì Navuk Belarusì. Seryâ Fizika-matematyčnyh Navuk 56 (2) 239 (2020)
  16. Kholmetskii A, Missevitch O et al EPL 129 (3) 30006 (2020)
  17. Dingel B B, Buenaventura A et al Optics Communications 454 124510 (2020)
  18. Berry T, Visser M Universe 6 (12) 237 (2020)
  19. Kholmetskii A L, Yarman T Eur. J. Phys. 41 (5) 055601 (2020)
  20. Kharinov M Adv. Appl. Clifford Algebras 30 (2) (2020)
  21. Dingel B B, Chua A R et al Journal Of Modern Optics 66 (16) 1701 (2019)
  22. Bolotovskii B M, Malykin G B Phys.-Usp. 62 (10) 1012 (2019)
  23. Deriglazov A A, Tereza D M Phys. Rev. D 100 (10) (2019)
  24. Dingel B B, Buenaventura A, Murakawa K Journal Of Modern Optics 65 (19) 2171 (2018)
  25. Pardy M JHEPGC 04 (01) 132 (2018)
  26. Kholmetskii A L, Yarman T Eur. Phys. J. Plus 132 (9) (2017)
  27. Kholmetskii A L, Missevitch O V, Yarman T Annals Of Physics 384 155 (2017)
  28. Brezov D S, Mladenova C D, Mladenov I M Journal Of The Korean Physical Society 66 (11) 1656 (2015)
  29. Kholmetskii A L, Yarman T Can. J. Phys. 92 (10) 1232 (2014)
  30. Chub V F Mech. Solids 49 (2) 113 (2014)
  31. Kholmetskii A L, Missevitch O V, Yarman T Can. J. Phys. 92 (11) 1380 (2014)
  32. de Haas E P J (Paul) Can. J. Phys. 92 (10) 1082 (2014)
  33. Ouvry S, Pastur L, Yanovsky A Physics Letters A 377 (10-11) 804 (2013)
  34. Malykin G B Opt. Spectrosc. 114 (2) 266 (2013)
  35. Chakrabarti A, Chakraborti A Indian J Phys 86 (9) 791 (2012)
  36. Stepanov S S Phys. Part. Nuclei 43 (1) 128 (2012)
  37. Sánchez-Soto L L, Monzón Ju J et al Physics Reports 513 (4) 191 (2012)
  38. Ungar A A Essays in Mathematics and its Applications Chapter 18 (2012) p. 463
  39. Nemchenko E A Russ Phys J 54 (3) 360 (2011)
  40. O’Donnell K, Visser M Eur. J. Phys. 32 (4) 1033 (2011)
  41. Malykin G B Opt. Spectrosc. 109 (6) 951 (2010)
  42. Malykin G B Uspekhi Fizicheskikh Nauk 180 (9) 965 (2010) [Malykin G B Phys.-Usp. 53 (9) 923 (2010)]
  43. Kholmetskii A L, Missevitch O V, Yarman T American Journal of Physics 78 (4) 428 (2010)
  44. A Gyrovector Space Approach to Hyperbolic Geometry Synthesis Lectures On Mathematics & Statistics (2009)
  45. Chakrabarti A J. Phys. A: Math. Theor. 42 (24) 245205 (2009)
  46. Krivoruchenko M I, Faessler A Nuclear Physics A 803 (3-4) 173 (2008)
  47. Ritus V I Uspekhi Fizicheskikh Nauk 177 (1) 105 (2007)
  48. Popov V S Uspekhi Fizicheskikh Nauk 177 (12) 1319 (2007)

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