Physical and Mathematical Description of the Manifestation of Wave Properties of Matter in Thermodynamic and Dynamic Processes of Spontaneous Structuring of Density-Unstable Masses

The natural science of geology is in the first place a descriptive science; nevertheless, in this field a large body of accumulated empirical material is unified at the level of the fundamental laws of nature in the language of modern physics and mathematics. In this connection, we can state that with the development of various physical and mathematical methods for describing the processes of spontaneous structuring of density-unstable media, their wave nature becomes more and more evident regardless of the causes (whether thermodynamic or dynamic) of this instability.