Rotation of the swing plane of Foucault's pendulum and Thomas spin precession: two sides of one coin

M.I. Krivoruchenko
Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

Using elementary geometric tools, we apply essentially the same methods to derive expressions for the rotation angle of the swing plane of Foucault’s pendulum and the rotation angle of the spin of a relativistic particle moving in a circular orbit (the Thomas precession effect).

PACS: 01.65.+g, 02.40.Ky, 03.30.+p (all)
DOI: 10.3367/UFNe.0179.200908e.0873
URL: https://ufn.ru/en/articles/2009/8/e/
Web of Science

000273727200005
Scopus

2-s2.0-70549106011
ADS NASA

2009PhyU...52..821K
Citation: Krivoruchenko M I "Rotation of the swing plane of Foucault's pendulum and Thomas spin precession: two sides of one coin" Phys. Usp. 52 821–829 (2009)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Криворученко М И «Вращение плоскости качания маятника Фуко и прецессия Томаса: две линии одного сюжета» УФН 179 873–882 (2009); DOI: 10.3367/UFNr.0179.200908e.0873

References (26) Cited by (4) Similar articles (20) ↓

V.I. Ritus “On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession” Phys. Usp. 50 95–101 (2007)
V.I. Ritus “Permutation asymmetry of the relativistic velocity addition law and non-Euclidean geometry” Phys. Usp. 51 709–721 (2008)
V.B. Morozov “On the question of the electromagnetic momentum of a charged body” Phys. Usp. 54 371–374 (2011)
V.A. Aleshkevich “On special relativity teaching using modern experimental data” Phys. Usp. 55 1214–1231 (2012)
G.B. Malykin “The Sagnac effect: correct and incorrect explanations” Phys. Usp. 43 1229 (2000)
G.B. Malykin “Para-Lorentz transformations” Phys. Usp. 52 263–266 (2009)
Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity” Sov. Phys. Usp. 15 340–346 (1972)
G.B. Malykin “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)
B.M. Bolotovskii, G.B. Malykin “Visible shape of moving bodies” Phys. Usp. 62 1012–1030 (2019)
S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” Phys. Usp. 63 721–724 (2020)
V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” Phys. Usp. 50 1217–1238 (2007)
P.B. Ivanov “On relativistic motion of a pair of particles having opposite signs of masses” Phys. Usp. 55 1232–1238 (2012)
S.I. Blinnikov, L.B. Okun, M.I. Vysotskii “Critical velocities c/sqrt{3} and c/sqrt{2} in the general theory of relativity” Phys. Usp. 46 1099–1103 (2003)
V.I. Ritus “Lagrange equations of motion of particles and photons in the Schwarzschild field” Phys. Usp. 58 1118–1123 (2015)
E.G. Bessonov “Another route to the Lorentz transformations” Phys. Usp. 59 475–479 (2016)
Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect” Phys. Usp. 41 941–944 (1998)
S.I. Syrovatskii “On the problem of the ’retardation’ of the relativistic contraction of moving bodies” Sov. Phys. Usp. 19 273–274 (1976)
J. Gaite “The relativistic virial theorem and scale invariance” Phys. Usp. 56 919–931 (2013)
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?” Phys. Usp. 57 714–720 (2014)
A.I. Musienko, L.I. Manevich “Classical mechanical analogs of relativistic effects” Phys. Usp. 47 797–820 (2004)

The list is formed automatically.