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Prog. Theor. Phys. Vol. 37 No. 4 (1967) pp. 754-758

Possible Cosmological Consequences of the Theory of Elementary Particles with Finite Degree of Freedom

Takao Tati

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima

(Received November 15, 1966)

Abstract:

The theory of finite degree of freedom introduces a universal time-like vector N_µ in the momentum space (Minkowski) in order to remove the indefiniteness of the momentum degree of freedom of elementary particles. In this paper, we assume a cosmological model (finite, with an expanding boundary) and discuss that the center of mass of the universe is determined by the vector N_µ when we assume the “maximum excitation” in an early stage of the universe. The model is closely related to the special relativity (Milne) model but deviates from it on account of the abandonment of the cosmological principle. Our model should be considered as a zeroth order approximation in a low density model. A singularity of density in low density models is discussed and it is shown that the universal vector N_µ serves also to remove this singularity.

URL : http://ptp.ipap.jp/link?PTP/37/754/
DOI : 10.1143/PTP.37.754

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References:

1. T. Tati, Prog. Theor. Phys. 24 (1960), 1[PTP].
2. T. Tati, Prog. Theor. Phys. Suppl. No. 29 (1964), 1[PTP].
3. G. Gamow, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 27 (1953), No. 10.
4. M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
   G. Zweig, CERN preprint (1964).
5. W. O. Kermack and W. H. McCrea, Mon. Not R. Astron. Soc. 93 (1933), 519.
6. G. C. McVittie, Nature 131 (1933), 533.
7. E. A. Milne, Z. Astrophys. 6 (1933), 1.
8. D. I. Blokhintzev, Phys. Lett. 12 (1964), 272[CrossRef].
9. W. H. McCrea, Astrophys. J. 144 (1966), 516[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 43 No. 6 (1970) pp. 1596-1612 :

   Hadronic Matter

   Takao Tati

2. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2107-2116 :

   Matter at Ultrahigh Densities

   Takao Tati

3. Progress of Theoretical Physics Supplement No.54 (1973) pp. 31-39 :

   Lorentz-Factors and Masses of Fireballs

   Takao Tati

4. Progress of Theoretical Physics Supplement No.54 (1973) pp. 40-50 :

   The Theory of Finite Degree of Freedom and the Structure of Nucleons

   Takao Tati

5. Progress of Theoretical Physics Supplement No.76 (1983) pp. 186-223 :

   The Theory of Finite Degree of Freedom

   Takao Tati

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