Premium
On the possibility of a finite model describing the universe II. The case of a relativistic free particle
Author(s) -
Järnefelt G.
Publication year - 1977
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.19772980203
Subject(s) - eigenvalues and eigenvectors , separable space , physics , finite set , argument (complex analysis) , field (mathematics) , universe , theoretical physics , pure mathematics , quantum field theory , mathematics , mathematical analysis , mathematical physics , quantum mechanics , biochemistry , chemistry
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 H ILBERT spaces. The separable H ILBERT 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 G ALOIS 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.