Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-16T17:07:04.701Z Has data issue: false hasContentIssue false
  • English
  • Français

Neo-Lorentzian relativity

Published online by Cambridge University Press:  09 April 2009

S. J. Prokhovnik
S. J. Prokhovnik
Affiliation:
School of Mathematics, University of New South Wales
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Our present view of the universe suggest that the set of mutually receding galaxies may provide a natural substratum for the propagation of light. It is shown that this assumption leads to a consistent derivation and interpretation of special relativity, along the lines evvisaged by Lorentz but requiring also the employment of Einstein's measurement definitions. The time-dilatation and Fitzgerald contraction effects emerge as intelligible consequences of this approach, and their interaction with an associated anisotropy effect produces the relativity of simultaneity, the reciprocity phenomenon and the results described by Einstein's principles; the approach provides a definitive resolution of the “clock paradox” within the framework of Special Relativity.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 2 , May 1965 , pp. 273 - 284
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Bastin, E. W. and Kilmister, C. W., The Concept of Order II Measurements, Proc. Camb. Phil. Soc. 51 (1951), 454.CrossRefGoogle Scholar
[2]Sciama, D. W., On the Origin of Inertia, M. N. Roy. Ast. Soc. 113 (1953), 34.CrossRefGoogle Scholar
[3]Bastin, J. A., An Extension of the Newtonian Law of Gravitation, Proc. Camb. Phil. Soc. 56 (1960), 401.CrossRefGoogle Scholar
[4]Surdin, M., A Note on Time-varying Gravitational Potentials, Proc. Camb. Phil. Soc. 58 (1962), 550.CrossRefGoogle Scholar
[5]McCrea, W. H., Some Current Problems in Cosmology, Proc. Math. Soc. Univ. S'ton. 5 (1962), 15.Google Scholar
[6]Prokhovnik, S. J., A Cosmological Model of Light Propagation, Proc. Camb. Phil. Soc. 60 (1964), 265.CrossRefGoogle Scholar
[7]Milne, E. A., Kinematic Relativity, Oxford U. P., (1948).Google Scholar
[8]Builder, G., The Constancy of the Velocity of Light, Aust. J. Phys. 11 (1958), 457.CrossRefGoogle Scholar
[9]Synge, J. L., Relativity: The Special Theory, Nth. Holland Pub. Co. (1956).Google Scholar
[10]Builder, G., Colloquium on Relativity at Univ. of N.S.W. (1960).Google Scholar
[11]Prokhovnik, S. J., The Case for an Aether, Brit. J. Phil. Sc. 14 (1963), 195.CrossRefGoogle Scholar