A Revival of the De Sitter Universe

  • Leopold Halpern


The large number hypothesis (LNH) was proposed by Dirac1,2 in 1937; it is related to the assumptions made in Eddington’s ‘Fundamental Theory’, modified, however, by the variation of the dimensionless large numbers with time. The original version was later modified to a theory with matter creation in the expanding universe3. For a while this theory seemed to be in better agreement with empirical data; it was given up when it was shown to yield results conflicting with our present knowledge on the Moon’s surface. The present version4 does not assume matter creation; it is closer related to the original version which can again fit empirical results, because of the change of our estimate of the Hubble parameter.


Semisimple Group Group Manifold Matter Creation Large Number Hypothesis Adjoint Transformation 
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  1. 1.
    P.A.M. Dirac, Nature, 139, 323 (1937).CrossRefGoogle Scholar
  2. 2.
    P.A.M. Dirac, Proc. Roy. Soc. (A) 165, 199 (1938).CrossRefGoogle Scholar
  3. 3.
    P.A.M. Dirac, Proc. Roy. Soc. (A)Google Scholar
  4. 4.
    P.A.M. Dirac, Proc. Roy. Soc. (A)Google Scholar
  5. 5.
    H.P. Robertson, Proc. Roy. Soc. (A)Google Scholar
  6. 6.
    R. Reasenberg and S. Shapiro, Proceedings on the Workshop on Experimental Detection of Varying G (L. Halpern editor) University of Florida Press (1977). Also, R. Reasenberg, Proceedings of the 2nd Marcel Grossmann Meeting, Trieste (1979) (edited by Remo Ruffini, to appear shortly).Google Scholar
  7. 7.
    P.A.M. Dirac, in: Proceedings of the 2nd Marcel Gross Meeting, Trieste (1979).Google Scholar
  8. 8.
    R. Parsons, Thesis, Florida State University (1980).Google Scholar
  9. 1.
    P.A.M. Dirac, Annals of Mathematics, 30, 657 (1935).CrossRefGoogle Scholar
  10. 2.
    E. Lubkin, ‘Relativity and Gravitation’, Edited by C.G. Kuper and A. Peres, Gordon & Breach, N.Y. (1971).Google Scholar
  11. 3.
    L. Halpern, J. Gen. Relativity & Gravit., 8, No. 8, 623 (1977).CrossRefGoogle Scholar
  12. 4.
    L. Halpern, Proceedings of the Symposium on Group Theory and Physics, Kiryat Anavim (1979).Google Scholar
  13. 5.
    Th. Kaluza, Pruss. Acad. physik mathem. Klasse, June 14, 228 (1928).Google Scholar
  14. 6.
    L.P. Eisenhart, ‘Continuous Groups of Transformation’, Princeton (1933).Google Scholar
  15. 7.
    A. Einstein, Pruss. Acad. physik. mathem. Klasse, Dec. 8 p. 23 and p. 26 (1927).Google Scholar
  16. 8.
    L.P. Eisenhart, ‘Riemannian Geometry’, Princeton (1961).Google Scholar
  17. 9.
    L. Halpern, International Journal of Theoretical Physics (1980).Google Scholar
  18. 10.
    A. Einstein, Pruss. Acad. physik. mathem. Klasse, June 14, p. 224 (1928).Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • Leopold Halpern
    • 1
  1. 1.Department of PhysicsFlorida State UniversityTallahasseeUSA

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