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The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body


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

It is shown that for a solid body following a curvilinear trajectory its rotation angle due to the effect of the special theory of relativity (Thomson precession) is numerically equal to the rest-frame-observed solid angle through which the body-fixed axis turns as a consequence of the rotation change the body image undergoes due to Lorentz length contraction and the retardation of the light emitted by various portions of the body. In classical mechanics, the same relation connects the solid-body rotation angle to the actual solid angle that the body-fixed axis describes as the body performs a conical motion — which is a consequence of Ishlinskii’s theorem.

PACS: 03.30.+p
DOI: 10.1070/PU1999v042n05ABEH000495
URL: https://ufn.ru/en/articles/1999/5/f/
Citation: Malykin G B "The relation of Thomas precession to Ishlinskii's theorem as applied to the rotating image of a relativistically moving body" Phys. Usp. 42 505–509 (1999)
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Оригинал: Малыкин Г Б «Связь томасовской прецессии и теоремы Ишлинского, примененной к наблюдаемому вращению изображения релятивистски движущегося тела.» УФН 169 585–590 (1999); DOI: 10.3367/UFNr.0169.199905h.0585

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  1. G.B. Malykin “The Sagnac effect: correct and incorrect explanations43 1229 (2000)
  2. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics39 169–177 (1996)
  3. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect31 861–864 (1988)
  4. V.I. Ritus “On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession50 95–101 (2007)
  5. G.B. Malykin, V.I. Pozdnyakova “Geometric phases in singlemode fiber lightguides and fiber ring interferometers47 289–308 (2004)
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  9. S.I. Syrovatskii “On the problem of the ’retardation’ of the relativistic contraction of moving bodies19 273–274 (1976)
  10. G.B. Malykin “Sagnac effect in ring lasers and ring resonators. How does the refraction index of the optical medium influence the sensitivity to rotation?57 714–720 (2014)
  11. A.A. Logunov “The theory of the classical gravitational field38 179–193 (1995)
  12. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity15 340–346 (1972)
  13. V.I. Vysotskii, V.I. Vorontsov et alThe Sagnac experiment with X-radiation37 289–302 (1994)
  14. B.M. Bolotovskii, V.P. Bykov “Radiation by charges moving faster than light33 (6) 477–487 (1990)
  15. N.N. Rozanov “Superluminal localized structures of electromagnetic radiation48 167–171 (2005)
  16. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin52 821–829 (2009)
  17. B.M. Bolotovskii, G.B. Malykin “Visible shape of moving bodies62 1012–1030 (2019)
  18. X.-B. Huang “A rigorous minimum-assumption derivation of the Lorentz transformation54 529–532 (2011)
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  20. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect41 941–944 (1998)

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