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

1 July 1960

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 24 (1) , 1-17
https://doi.org/10.1143/ptp.24.1

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.

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