Advertisement

The Geometry of the Rotating Disk in the Special Theory of Relativity

  • Adolf Grünbaum
  • Allen I. Janis
Part of the Synthese Library book series (SYLI, volume 132)

Abstract

In his (1924; 1969), Hans Reichenbach discussed the status of a twodimensional spatial geometry on a disk rotating with respect to an inertial frame in the Minkowski space time of the special theory of relativity (‘STR’). Since then, the literature on this topic has grown very considerably.1

Keywords

Inertial Frame Radial Line Rotational Length Uniform Rotation Spatial Projection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Arzeliès, H.: 1966, Relativistic Kinematics, Pergamon, New York, ch. IX: ‘The Rotating Disc’, pp. 204–243. A valuable large bibliography is given on pp. 241–243. Atwater, H. A.: 1971, Nature Phys. Sci. 230, 197–198. Google Scholar
  2. Atwater, H. A.: 1971, Nature Phys. Sci. 230, 197–198.CrossRefGoogle Scholar
  3. Cavalleri, G.: 1972, Lett. Nuovo dm. 3, 608.CrossRefGoogle Scholar
  4. Einstein, A.: 1905, ‘On the Electrodynamics of Moving Bodies’, The Principle of Relativity: A Collection of Original Memoirs, Dover Publications, New York, 1952.Google Scholar
  5. Einstein, A.: 1916, ‘The Foundation of the General Theory of Relativity’, The Principle of Relativity: A Collection of Original Memoirs, Dover Publications, New York, 1952.Google Scholar
  6. Grøn, Ø.: 1975, ‘Relativistic Description of a Rotating Disk’, Amer. J. Phys. 43, 869–876.CrossRefGoogle Scholar
  7. Grünbaum, A.: 1967, ‘Theory of Relativity’, in P. Edwards (ed.), The Encyclopedia of Philosophy, Macmillan, New York, Vol. 7, pp. 133–140Google Scholar
  8. Grünbaum, A.: 1973, Philosophical Problems of Space and Time, 2nd ed., Dordrecht and Boston, Reidel.Google Scholar
  9. Marsh, G. E.: 1971, Nature Phys. Sci. 230, 197.CrossRefGoogle Scholar
  10. Møller, C.: 1972, The Theory of Relativity, 2nd ed., Oxford University Press, Oxford.Google Scholar
  11. Newburg, R. G.: 1972, Lett. Nuovo Cim. 5, 387–388.CrossRefGoogle Scholar
  12. Noonan, T. W.: 1971, Nature Phys. Sci. 230, 197.CrossRefGoogle Scholar
  13. Reichenbach, H.: 1924 (reprinted 1965), Axiomatik der relativistischen Raum-Zeit-Lehre, Vieweg, Braunschweig (now Wiesbaden), Part II, ch. IV, § 44, pp. 136–141. Google Scholar
  14. Reichenbach, H.: 1969 (English translation of [Reichenbach, 1924] by Maria Reichenbach with Foreword by Wesley C. Salmon), Axiomatization of the Theory of Relativity, Part II, ch. IV, § 44, pp. 172–177Google Scholar
  15. Strauss, M.: 1974, ‘Rotating Frames in Special Relativity’, Int. J. Theoret. Phys. 11, 107–123.CrossRefGoogle Scholar
  16. Suzuki, M.: 1971, Nature Phys. Sci. 230, 13.CrossRefGoogle Scholar
  17. Whitmire, D. P.: 1972, Nature Phys. Sci. 235, 175–176.CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1977

Authors and Affiliations

  • Adolf Grünbaum
    • 1
  • Allen I. Janis
    • 1
  1. 1.University of PittsburghUSA

Personalised recommendations