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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.

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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. Mandel’shtam L I "Lektsii po fizicheskim osnovam teorii otnositel’nosti. 1933 - 1934" Polnoe Sobranie Trudov Vol. 5 (Pod red. M A Leontovicha) (M.-L.: Izd-vo AN SSSR, 1950) p. 90
  2. Mandel’shtam L I "Predislovie" Polnoe Sobranie Trudov Vol. 5 (Pod red. M A Leontovicha) (M.-L.: Izd-vo AN SSSR, 1950) p. 5
  3. Mandel’shtam L I "Predislovie k knige" Lektsii Po Optike, Teorii Otnositel’nosti i Kvantovoi Mekhanike (Pod red. S M Rytova) (M.: Nauka, 1972) p. 5
  4. Mandel’shtam L I Lektsii Po Optike, Teorii Otnositel’nosti i Kvantovoi Mekhanike (Pod red. S M Rytova) (M.: Nauka, 1972) p. 83
  5. Einshtein A Sobranie Nauchnykh Trudov Vol. 1 (M.: Nauka, 1965) p. 7; Einstein A Ann. Physik 322 891 (1905)
  6. Ives H E, Stilwell G R J. Opt. Soc. Am. 28 215 (1938)
  7. Ginzburg V L v Kn. Pauli V. Teoriya Otnositel’nosti (Per. s nem. pod red. V L Ginzburga) (M.-L.: GITTL, 1947) p. 38, podstrochnoe primechanie
  8. Vargas J G Found. Phys. 11 235 (1981)
  9. Abraham M Theorie Der Eletrizität Vol. 2 (Leipzig: B.G. Teubner, 1908) p. 367
  10. Tangherlini F R "The velocity of light in uniformly moving frame" PhD Thesis (Stanford: Stanford Univ., 1959)
  11. Reichenbach H Phys. Z. 22 683 (1921)
  12. Reichenbach H Philosophie Der Raum-Zeit-Lehre (Berlin: W. de Gruyter & Co., 1928); Reichenbach H The Philosophy Of Space & Time (New York: Dover Publ., 1958); Reikhenbakh G Filosofiya Prostranstva i Vremeni (M.: Progress, 1985)
  13. Ginzburg V L Zh. Eksp. Teor. Fiz. 62 173 (1972); Ginzburg V L Sov. Phys. JETP 35 92 (1972)
  14. Bolotovskii B M, Ginzburg V L Usp. Fiz. Nauk 106 577 (1972); Bolotovskii B M, Ginzburg V L Sov. Phys. Usp. 15 184 (1972)
  15. Malykin G B Usp. Fiz. Nauk 174 801 (2004); Malykin G B Phys. Usp. 47 739 (2004)
  16. Ginzburg V L Usp. Fiz. Nauk 103 393 (1971); Ginzburg V L Sov. Phys. Usp. 14 229 (1971)
  17. Malykin G B Zh. Tekh. Fiz. 75 (10) 135 (2005); Malykin G B Tech. Phys. 50 1383 (2005)
  18. Malykin G B, Pozdnyakova V I Zh. Tekh. Fiz. 77 (1) 138 (2007); Malykin G B, Pozdnyakova V I Tech. Phys. 52 133 (2007)
  19. Malykin G B Prog. Phys. 1 L9 (2009); Malykin G B Prog. Phys. 2 L14 (2009)
  20. Michelson A A Am. J. Sci. Ser. III 22 120 (1881)
  21. Michelson A, Morley E W Am. J. Sci. Ser. III. 34 333 (1887); Michelson A, Morley E W Philos. Mag. Ser. 5 24 449 (1887)
  22. Kennedy R J, Thorndike E M Phys. Rev. 42 400 (1932)
  23. Malykin G B Usp. Fiz. Nauk 167 337 (1997); Malykin G B Phys. Usp. 40 317 (1997)
  24. Malykin G B Usp. Fiz. Nauk 170 1325 (2000); Malykin G B Phys. Usp. 43 1229 (2000)
  25. Malykin G B Usp. Fiz. Nauk 172 969 (2002); Malykin G B Phys. Usp. 45 907 (2002)
  26. Hoek M Arch. Neerland. 3 180 (1868); Hoek M Arch. Neerland. 4 443 (1869)
  27. Ragul’skii V V Usp. Fiz. Nauk 167 1022 (1997); Ragul’skii V V Phys. Usp. 40 972 (1997)
  28. Bagaev S N et al. Laser Phys. 6 226 (1996)
  29. Tangherlini F R Suppl. Nuovo Cimento 20 1 (1961)
  30. Tangherlini F R Nuovo Cimento B 109 929 (1994)
  31. Logunov A A Lektsii Po Teorii Otnositel’nosti i Gravitatsii: Sovremennyi Analiz Problemy (M.: Nauka, 1987); Logunov A A Lectires In Relativity And Gravitation: A Modern Look (Oxford: Pergamon Press, 1990)
  32. Pauli W Relativitätstheorie (Leipzig: Teubner, 1921); Pauli W Theory Of Relativity (New York: Pergamon Press, 1958); Pauli V Teoriya Otnositel’nosti (Per. s nem. pod red. V L Ginzburga) (M.-L.: GITTL, 1947)
  33. Sjödin T Nuovo Cimento B 51 229 (1979)
  34. Cavalleri G, Bernasconi C Nuovo Cimento B 104 545 (1989)
  35. Smoot G F, Gorenstein M V, Muller R A Phys. Rev. Lett. 39 898 (1977)
  36. Mansouri R, Sexl R U Gen. Relativ. Grav. 8 497 (1977); Mansouri R, Sexl R U Gen. Relativ. Grav. 8 515 (1977); Mansouri R, Sexl R U Gen. Relativ. Grav. 8 809 (1977)
  37. Gurzadyan V G et al. Mod. Phys. Lett. A 20 19 (2005)
  38. Eroshenko Yu N Usp. Fiz. Nauk 177 230 (2007); Eroshenko Yu N Phys. Usp. 50 223 (2007)
  39. Gurzadyan V G et al. Nuovo Cimento B 122 515 (2007); Gurzadyan V G et al. astro-ph/070127
  40. Glashow S L Nucl. Phys. B Proc. Suppl. 70 180 (1999)
  41. Bluhm R et al. Phys. Rev. Lett. 88 090801 (2002)
  42. Müller H et al. Phys. Rev. D 67 056006 (2003)
  43. Kostelecký A Sci. Am. 291 (3) 92 (2004)
  44. Cho A Science 307 866 (2005)
  45. Lämmerzahl C, Macías A, Müller H Phys. Rev. D 71 025007 (2005)
  46. Jacobson T, Liberati S, Mattingly D Ann. Physics 321 150 (2006)
  47. Vay J-L Phys. Rev. Lett. 98 130405 (2007)
  48. Rubakov V A, Tinyakov P G Usp. Fiz. Nauk 178 785 (2008); Rubakov V A, Tinyakov P G Phys. Usp. 51 759 (2008)
  49. Miller M A, Sorokin Yu M, Stepanov N S Usp. Fiz. Nauk 121 525 (1977); Miller M A, Sorokin Yu M, Stepanov N S Sov. Phys. Usp. 20 264 (1977)
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