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Abstract:The paper analyses physical phenomenon which can give evidence of discreteness of time. The phenomenon is substitution of wave function of ultrarelativistic particle in terms of certain (hyper-ultrarelativistic) values of its space motion velocity. Discreteness of time is necessary criterion for such a substitution. The paper has developed mathematical description for particle energy (frequency) anomalous dependence on its velocity in the context of frequency substitution resulting from discreteness of time. Moreover, there have been obtained estimations of maximum energy of a particle of the given mass, maximum particle mass as well as a value of its own time quantum.

Abstract. The conditions of arising and some effects of physical phenomenon that may be found in the process of observing high energy particles are considered in this work. This phenomenon is consequence of time discreteness. When the repetition frequency of a particle discrete state proves to be commensurable with its own frequency (energy), the aliasing effect of its wave function may take place. The wave function aliasing limits the particle energy spectrum giving rise to the uninvestigated abnormal modes of movement. In view of the fact the discreteness of particle states at a time is a prerequisite for aliasing, the effect under consideration, in case of its experimental verification, may serve a proof of this discreteness.

Digital integrated monitoring of all types of energy sources with the use of expert systems for the analysis of their mutual correlations and forecasting provides in the large industrial enterprise efficient use of energy resources, identification of the main sources of losses, reduction of overconsumption, optimization of the distribution of purchased and manufactured energy sources. However, the introduction of such systems is constrained by the relatively high cost of specialized cost calculators, technical means for creating branched data networks and the lack of efficient algorithms for expert analysis of material and energy flows. The paper presents data on the innovative project of the energy monitoring system, features of its software and technical implementation. The principles and an example of construction of a system of monitoring of energy flows are considered. The system is intended for control of parameters and technical accounting of expenses of various energy carriers, including, gases, compressed air, liquids, steam, electricity.

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