Shift Phase as a Result of Formal Interaction

The shift phase, defined as the shift of two series of observations relative to each other .and defined via the stiltjes integral, has a different physical interpretation. On the one hand, the shift phase up to a dimensional constant is equal to the work of generalized forces on generalized displacements of the object. In this sense, the shift phase shows the result of interaction. At the same time, the shift phase calls for a shift in the number of objects in a period of time or space. On the other hand, the shift phase is an "ideal" algorithm for comparing objects (a measure of similarity) that meets the minimum entropy production during the comparison operation. This fact allows us to believe that in the non-material world, comparison by the method of shifting phase is also the result of interaction between the transmitter and receiver of information. Therefore, the shift phase can be considered as a result and as an indicator of formal interaction simultaneously in the physical and informational world. The article discusses the consequences of this statement. In modern physics, there is no definition of information, and this article also attempts to define it using representations of formal interaction.

Keywords: Shift phase, the work of forces on displacements, the principle of minimum entropy production, information, formal interaction.