Issues

 / 

2006

 / 

August

  



A derivation of the Lorentz transformation based on frequency standards

 a,  b
a State Institute for Standartization, Metrology and Certification of the Scientific and Industrial Association ISARI, Chargali str. 67, Tbilisi, 380092, Georgia
b Department of Physics, I. Javakhishvili Tbilisi State University, prosp. Chavchavadze 1, Tbilisi, 380028, Georgia

The physical meaning of the Lorentz transformations is explained by deriving them (and the corresponding pseudo- Euclidean geometry) as transformations on a set of physical observables (or ’information space’) obtained by observers in inertial reference frames equipped with frequency (i.e., unified time-length) standards.

Fulltext pdf (134 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n08ABEH005864
PACS: 03.30.+p
DOI: 10.1070/PU2006v049n08ABEH005864
URL: https://ufn.ru/en/articles/2006/8/d/
000242898300004
2-s2.0-33845804730
2006PhyU...49..831D
Citation: Denisov A A, Teplitsky E Sh "A derivation of the Lorentz transformation based on frequency standards" Phys. Usp. 49 831–836 (2006)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Денисов А А, Теплицкий Э Ш «Построение преобразований Лоренца на базе стандартов частоты» УФН 176 857–863 (2006); DOI: 10.3367/UFNr.0176.200608e.0857

References (12) ↓ Cited by (1)

  1. Einstein A Ann. Phys. (Leipzig) 17 891 (1905); Per. na russk. yaz., Einshtein A Printsip Otnositel’nosti Sbornik Rabot Po STO (Sost. A A Tyapkin) (M.: Atomizdat, 1973)
  2. Einshtein A Sobranie Nauchnykh Trudov Vol. 1 (M.: Nauka, 1965) p. 418
  3. Brillyuen L Novyi Vzglyad na Teoriyu Otnositel’nosti (M.: Mir, 1972)
  4. Malykin G B Usp. Fiz. Nauk 174 801 (2004); Malykin G B Phys. Usp. 47 739 (2004)
  5. Smolyaninov V V Usp. Fiz. Nauk 170 1063 (2000); Smolyaninov V V Phys. Usp. 43 991 (2000)
  6. Tyapkin A A (Sost.) Printsip Otnositel’nosti. Sbornik Rabot Po STO (M.: Atomizdat, 1973)
  7. Bondi G Otnositel’nost’ i Zdravyi Smysl (M.: Mir, 1967)
  8. Bom D Spetsial’naya Teoriya Otnositel’nosti (M.: Mir, 1967)
  9. Peres A Am. J. Phys. 55 516 (1987); Perevod na russk. yaz., Peres A Usp. Fiz. Nauk 156 145 (1988)
  10. Bolotovskii B M, Ginzburg V L Usp. Fiz. Nauk 106 577 (1972); Bolotovskii B M, Ginzburg V L Sov. Phys. Usp. 15 184 (1972)
  11. Pauli V Teoriya Otnositel’nosti (M.: Nauka, 1983)
  12. Yaglom I M Kompleksnye Chisla i Ikh Primenenie v Geometrii (M.: Fizmatgiz, 1963)

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