Issues

 / 

2009

 / 

March

  

Methodological notes


Para-Lorentz transformations


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

In special relativity, events that are simultaneous in one inertial reference frame (IRF) are not so in another. 75 years ago, L I Mandelstam showed that the absolute simultaneity of events in different IRFs is achieved by using infinitely fast signals instead of light to synchronize clocks. 25 years later, F R Tangherlini showed in an independent study how special coordinates and time transform in this situation from one IRF to another. Although different IRFs enter on different footing in this case (the observer’s frame being the privileged one), the Tangherlini transformations are still capable of describing the known experimental special relativity tests.

Fulltext pdf (251 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0179.200903e.0285
PACS: 01.65.+g, 03.30.+p (all)
DOI: 10.3367/UFNe.0179.200903e.0285
URL: https://ufn.ru/en/articles/2009/3/e/
000267730600005
2-s2.0-68249140128
2009PhyU...52..263M
Citation: Malykin G B "Para-Lorentz transformations" Phys. Usp. 52 263–266 (2009)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Малыкин Г Б «Паралоренцевские преобразования» УФН 179 285–288 (2009); DOI: 10.3367/UFNr.0179.200903e.0285

References (49) Cited by (11) Similar articles (20) ↓

  1. B.M. Bolotovskii, G.B. Malykin “Visible shape of moving bodies62 1012–1030 (2019)
  2. G.B. Malykin, V.I. Pozdnyakova “Quadratic Sagnac effect — the influence of the gravitational potential of the Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results 1921—1926)58 398–406 (2015)
  3. G.B. Malykin “The Sagnac effect: correct and incorrect explanations43 1229 (2000)
  4. G.B. Malykin “Application of the modified Duguay method for measuring the Lorentz contraction of a moving body length64 1058–1062 (2021)
  5. 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)
  6. N.N. Rozanov “Superluminal localized structures of electromagnetic radiation48 167–171 (2005)
  7. G.B. Malykin, V.I. Pozdnyakova “Geometric phases in singlemode fiber lightguides and fiber ring interferometers47 289–308 (2004)
  8. V.A. Aleshkevich “On special relativity teaching using modern experimental data55 1214–1231 (2012)
  9. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect31 861–864 (1988)
  10. G.B. Malykin “The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body42 505–509 (1999)
  11. V.I. Ritus “Generalization of the k coefficient method in relativity to an arbitrary angle between the velocity of an observer (source) and the direction of the light ray from (to) a faraway source (observer) at rest63 601–610 (2020)
  12. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity15 340–346 (1972)
  13. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin52 821–829 (2009)
  14. V.B. Morozov “On the question of the electromagnetic momentum of a charged body54 371–374 (2011)
  15. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect41 941–944 (1998)
  16. E.G. Bessonov “Another route to the Lorentz transformations59 475–479 (2016)
  17. A.N. Oraevskii “Superluminal waves in amplifying media41 1199–1209 (1998)
  18. M.A. Miller, Yu.M. Sorokin, N.S. Stepanov “Covariance of Maxwell equations and comparison of electrodynamic systems20 264–272 (1977)
  19. V.L. Ginzburg, V.P. Frolov “Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector30 1073–1095 (1987)
  20. M.L. Levin “How light conquers darkness (W.R. Hamilton and the concept of group velocity)21 639–640 (1978)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions