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A cosmoloǵical basis for hyperbolic velocity space

Published online by Cambridge University Press:  24 October 2008

S. J. Prokhovnik
S. J. Prokhovnik
Affiliation:
University of New South Wales, Sydney
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Abstract

It is shown that a cosmological model of light propagation associated with a uniformly expanding universe provides a physical significance to the hyperbolic velocity space by which this model can be described. Some implications of this result are discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 391 - 395
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Boyer, R. H.Amer. J. Phys. 33 (1965), 910.CrossRefGoogle Scholar
(2)Fock, V.The theory of space, time and gravitation (Pergamon, 1959).Google Scholar
(3)Friedmann, A. A.Z. Physic 10 (1922), 377.Google Scholar
(4)Kulczycki, S.Non-Euclidean geometry (Pergamon, 1961).Google Scholar
(5)McCrea, W. H.Proc. Math. Soc. Univ. Southampton, 5 (1962), 15.Google Scholar
(6)Milne, E. A.Proc. Roy. Soc. Ser. A, 158 (1937), 324.Google Scholar
(7)Prokhovnik, S. J.Proc. Cambridge Philos. Soc. 60 (1964), 265.CrossRefGoogle Scholar
(8)Prokhovnik, S. J.The logic of special relativity (C.U.P., 1967).Google Scholar
(9)Robb, A. A.Geometry of space and time (C.U.P., 1963).Google Scholar
(10)Robertson, H. P.Astrophysics. J. 82 (1935), 284.CrossRefGoogle Scholar