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Lettere al Nuovo Cimento (1971-1985)

, Volume 15, Issue 15, pp 547–550 | Cite as

On a «nonlocalization» of a unified field

  • S. Ikeda
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References

  1. (1).
    S. Ikeda:Lett. Nuovo Cimento,10, 341 (1974);Int. Journ. Theor. Phys.,11, 205 (1974).MathSciNetCrossRefGoogle Scholar
  2. (2).
    H. Yukawa:Phys. Rev.,77, 219 (1950).MathSciNetADSCrossRefMATHGoogle Scholar
  3. (3).
    J. I. Horváth:Suppl. Nuovo Cimento,9, 444 (1958);Y. Takano:Prog. Theor. Phys.,40, 1159 (1968).CrossRefGoogle Scholar
  4. (4).
    S. Ikeda:Lett. Nuovo Cimento,13, 497 (1975). In this paper the directional vector (ϱ) is interpreted as the electromagnetic potential.MathSciNetCrossRefGoogle Scholar
  5. (5).
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  6. (6).
    From a purely geometrical point of view, eq. (2) corresponds to the basis connexion of γ in the theory of higher-order spaces. Cf.M. Kawaguchi:RAAG Memories,3, 718 (1962).Google Scholar
  7. (7).
    Concerning this, we can also assume the homogeneity condition ofC with respect to ϕ,i.e., Cϕ=0, as in the ordinary Finslerian unified field theory (4,5).J. I. Horváth:Phys. Rev.,80, 901 (1950).MathSciNetCrossRefGoogle Scholar
  8. (6).
    C. J. Isham, A. Salam andJ. Strathdee:Ann. of Phys.,62, 98 (1971);A. Bregman:Prog. Theor. Phys.,49, 667 (1973).MathSciNetADSCrossRefMATHGoogle Scholar
  9. (9).
    This metric has a close analogy to that of wave geometry. Cf.Y. Mimura andH. Takeno:Sci. Rep. Res. Inst. Theor. Phys., Hiroshima Univ., No. 2 (1962).Google Scholar
  10. (10).
    H. Weyl:S.-B. Preuss. Akad. Wiss., 465 (1918).Google Scholar
  11. (11).
    For the simplest case, we may putΘ μ=Г μ and Σ=C Google Scholar
  12. (12).
    H. Yukawa, T. Inoue andT. Toyota (Editors):Quantum Mechanics, Vol.2, Chap. 11 (Tokyo, 1972) (in Japanese).Google Scholar
  13. (13).
    The procedure which will be mentioned below has been fully discussed in ref. (9) This metric has a close analogy to that of wave geometry. Cf.Y. Mimura andH. Takeno:Sci. Rep. Res. Inst. Theor. Phys., Hiroshima Univ., No. 2 (1962).Google Scholar

Copyright information

© Società Italiana di Fisica 1976

Authors and Affiliations

  • S. Ikeda
    • 1
  1. 1.Department of Mechanical Engineering, Faculty of Science and TechnologyScience University of TokyoNoda, ChibaJapan

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