The Undular Model as Basis for Long-Range Ordered Structures

Abstract

As a result of research of wave function properties it was found that the waves form stable states of arbitrary complexity and this allows to admit that wave functions can serve as a physical basis for an algebra of self-organization similarly to how the logical elements make up a carrier of Boolean algebra. The first part of article is devoted to the review of earlier published results, which prove that, if both the frames of reference and the viewed objects are of undular nature, then the existence of a carrier of the waves does not contradict to relativity theory and Maxwell equations. In the last section the mechanism of spherical wave stability is discussed. It isshown, on the basis of this mechanism it is possible to explain the existence of the complex long-range ordered structures.