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On a «nonlocalization» of a unified field

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. S. Ikeda:Lett. Nuovo Cimento,10, 341 (1974);Int. Journ. Theor. Phys.,11, 205 (1974).

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  2. H. Yukawa:Phys. Rev.,77, 219 (1950).

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  4. S. Ikeda:Lett. Nuovo Cimento,13, 497 (1975). In this paper the directional vector (ϱ) is interpreted as the electromagnetic potential.

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  5. J. I. Horváth:Phys. Rev.,80, 901 (1950);J. I. Horváth andA. Moór Zeits. Phys.,131, 544 (1952).

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  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).

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  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).

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  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).

  10. H. Weyl:S.-B. Preuss. Akad. Wiss., 465 (1918).

  11. For the simplest case, we may putΘ μ =Г μ and Σ=C

  12. H. Yukawa, T. Inoue andT. Toyota (Editors):Quantum Mechanics, Vol.2, Chap. 11 (Tokyo, 1972) (in Japanese).

  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).

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  1. Department of Mechanical Engineering, Faculty of Science and Technology, Science University of Tokyo, Noda, Chiba, Japan

    S. Ikeda

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  1. S. Ikeda
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Ikeda, S. On a «nonlocalization» of a unified field. Lett. Nuovo Cimento 15, 547–550 (1976). https://doi.org/10.1007/BF02725911

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  • DOI: https://doi.org/10.1007/BF02725911

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