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Prog. Theor. Phys. Vol. 24 No. 1 (1960) pp. 1-17

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Abandonment of the Assumption of the Displacement Invariance and Replacement of the Assumption of Field by the Assumption of Particle

Takao Tati

Department of Physics, Kanazawa University, Kanazawa

(Received January 7, 1960)

Abstract:

We describe a field theory by two parameter spaces in order to separate the two functions fulfilled by the space-time, i.e. the representation of the degree of freedom of the dynamical system and the specification of the order of measurements. After the two functions of space-time are separated, we abandon the assumption of the displacement invariance and assume the momentum-conservation law of finite “range”. Further, we replace the assumption of the field by the assumption of the particle. Then the domain of the applicability of theory is extended so as to be able to describe the elementary particles with finite degree of freedom. Some possible observable effects peculiar to the theory of finite degree of freedom are discussed. The difference between the concept of the space-time distance in the present field theory are that in our theory is mentioned.


URL : http://ptp.ipap.jp/link?PTP/24/1/
DOI : 10.1143/PTP.24.1

[ Full Text PDF : FREE ACCESS (985K) ] Citation:

References:

  1. T. Tati, Nuovo Cim. 4 (1956), 75.
    T. Tati, Prog. Theor. Phys. 18 (1957), 235[PTP].
  2. R. P. Feynman, Phys. Rev. 84 (1951), 108[APS].
  3. S. D. Drell, Ann. of Phys. 4 (1958), 75[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 30 No. 6 (1963) pp. 911-912 :
    On the Light Velocity in the Theory of Finite Degree of Freedom
    Roland Koeberle and Takao Tati
  2. Progress of Theoretical Physics Vol. 37 No. 4 (1967) pp. 754-758 :
    Possible Cosmological Consequences of the Theory of Elementary Particles with Finite Degree of Freedom
    Takao Tati
  3. Progress of Theoretical Physics Vol. 43 No. 6 (1970) pp. 1596-1612 :
    Hadronic Matter
    Takao Tati
  4. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1788-1790 :
    Hot Universe, Cosmic Rays of Ultrahigh Energy and Absolute Reference System
    Humitaka Sato and Takao Tati
  5. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2107-2116 :
    Matter at Ultrahigh Densities
    Takao Tati
  6. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 613-627 :
    On a Phenomenological Modification of Einstein's Gravitational Lagrangian
    Hidekazu Nariai
  7. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 646-652 :
    On the Degree of Freedom in Quantum Field Theory
    Takao Tati
  8. Progress of Theoretical Physics Vol. 78 No. 5 (1987) pp. 996-1008 :
    Local Quantum Mechanics
    Takao Tati
  9. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 638-648 :
    Local Quantum Mechanics and Lorentz Transformation
    Alberto S. de Arruda, Benedito L. da Silva and Takao Tati
  10. Progress of Theoretical Physics Supplement No.54 (1973) pp. 31-39 :
    Lorentz-Factors and Masses of Fireballs
    Takao Tati
  11. 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
  12. Progress of Theoretical Physics Supplement No.76 (1983) pp. 186-223 :
    The Theory of Finite Degree of Freedom
    Takao Tati

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