Physical vacuum properties and internal space dimension (Q2576765)

Vacuum Dirac matrices systems in spaces of different dimensions and signatures are the subject of the consideration in the paper. It is shown that in most cases the vacuum Dirac matrices are realized through using the orthonormal basis in the internal space. The case of 7-dimensional Riemannian space of signature 7(-) is considered in detail. The paper demonstrated that a Riemannian space, in which it becomes possible to introduce a nonstandard type of autodual vacuum Dirac matrices system, is the space of dimension 7 and signature 7(-). The author's point of view is that in the paper has arrived at a direct answer to the question of what space dimensions and signatures should be considered in the physical theories.