Methodological notes

Para-Lorentz transformations

Federal Research Center 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 is available at IOP
PACS: 01.65.+g, 03.30.+p (all)
DOI: 10.3367/UFNe.0179.200903e.0285
Citation: Malykin G B "Para-Lorentz transformations" Phys. Usp. 52 263–266 (2009)
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Оригинал: Малыкин Г Б «Паралоренцевские преобразования» УФН 179 285–288 (2009); DOI: 10.3367/UFNr.0179.200903e.0285

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  7. V.A. Aleshkevich “On special relativity teaching using modern experimental data55 1214–1231 (2012)
  8. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect31 861–864 (1988)
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  11. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity15 340–346 (1972)
  12. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin52 821–829 (2009)
  13. V.B. Morozov “On the question of the electromagnetic momentum of a charged body54 371–374 (2011)
  14. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect41 941–944 (1998)
  15. E.G. Bessonov “Another route to the Lorentz transformations59 475–479 (2016)
  16. A.N. Oraevskii “Superluminal waves in amplifying media41 1199–1209 (1998)
  17. M.L. Levin “How light conquers darkness (W.R. Hamilton and the concept of group velocity)21 639–640 (1978)
  18. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field52 937–943 (2009)
  19. P.S. Landa, D.I. Trubetskov, V.A. Gusev “Delusions versus reality in some physics problems: theory and experiment52 235–255 (2009)
  20. V.L. Pokrovsky “Landau and modern physics52 1169–1176 (2009)

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