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

Physics

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Scientific paper

The theory of finite degree of freedom introduces a universal time-like vector N_{mu} 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_{mu} 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_{mu} serves also to remove this singularity.

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