| Abstract: | The ultimate purpose of this investigation is the development of a world model or at least a skeleton for a world model, consisting of a finite number of material particles and of a finite number of geometrical points and time instants. The fundamental argument in the present article is the fact, that in the quantum theory we have to do with separable HILBERT spaces. The separable HILBERT spaces can be represented by means of linear operators with discrete eigenvalues and their eigenvectors. It is possible to replace the discrete eigenvalues with, for instance, non-negative integers, and these in their turn with numbers of a GALOIS field. In such a way a finitized physical system seems possible, or, if not a complete system, in any case a “skeleton” for a system. How far such a system might be developed remains an open question. |
