The theory of finite degree of freedom

The theory of finite degree of freedom is the investigation of the possibility of describing elementary particles in terms of a finite number of variables. Its philosophical background and physical consequences are described. The infinite degree of freedom of field theory which describes elementary particles is closely connected with the concept of space-time, and the theory of finite degree of freedom can be consistent only in the non-spatiotemporal description, in which the concept of space-time is decomposed, and the condition of unification of its constituent concepts (space-time condition) can be loosened. The non-spatiotemporal description is considered to point the notion of ''objective time''. The theory of finite degree of freedom introduces a universal time-like vector into the Minkowski space, and specifies the degree of freedom consisting of a finite number of points on a hyper-plane perpendicular to the vector. The possible consequences of the cutoff of high momentum part based on a model of hadronic matter are discussed relating to fireballs and the Wheeler's issue of the final state. A possible experimental means to find the hyper-plane is discussed. Finally, the effect of gravitation on the vector is considered, and the vector depends on the position in macroscopic space-time. (Kako, I.)