Vol 8, No 3 (2021)

We start with the discussion on misapplication of classical probability theory by Feynman in his analysis of the two slit experiment (by following the critical argumentation of Koopman, Ballentine, and the author of this paper). The seed of Feynman’s conclusion on the impossibility to apply the classical probabilistic description for the two slit experiment is treatment of conditional probabilities corresponding to different experimental contexts as unconditional ones. Then we move to the Bell type inequalities. Bell applied classical probability theory in the same manner as Feynman and, as can be expected, he also obtained the impossibility statement. In contrast to Feynman, he formulated his no-go statement not in the probabilistic terms, but by appealing to nonlocality. This note can be considered as a part of the author’s attempts for getting rid off nonlocality from quantum physics.

This work uses the algebraic approach to show how we communicate when applying the quantum mechanics (QM) concept of coherence, proposing tri-state+ in quantum computing (QC). In analogy to Einstein’s stimulated emission, when explaining the thermal radiation of quantum bodies in communication, this work shows that one can use the classical Information Theory by Shannon (with two, random logical states only, “0” and “1”, emulating a relay), and add a coherent third truth value Z, as a new process that breaks the Law of the Excluded Middle (LEM). Using a well-known result in topology and projection as a “new hypothesis” here, a higher dimensional state can embed in a lower-dimensional state. This means that any three-valued logic system, breaking the LEM, can be represented in a binary logical system, obeying the LEM. This satisfies QC in behavior, offering multiple states at the same time in GF(3m), but frees the implementation to use binary logic and LEM. This promises to allow indeterminacy, such as contingency, reference failure, vagueness, majority voting, conditionals, computability, the semantic paradoxes, and many more, to play a role in logic synthesis, with a much better resolution of indeterminate contributions to obtain coherence and help cybersecurity. We establish a link between Einstein’s and Shannon’s theories in QM, hitherto not reported, and use it to provide a model for QC without relying on external devices (i.e., quantum annealing), or incurring in decoherence. By focusing on adequate software, this could replace the emphasis in QC, from hardware to software.

The appeal to the threshold method of setting substitutions reflects the current trends towards increasing the speed of information processing and transmission connected with the possibility of implementing threshold functions directly in the signal carrier medium, primarily in optics or on other carriers related to the field of nanotechnology. In addition, the actively developing direction of building neurocomputers also requires the development of information protection systems using the basic operations of neurocomputers-threshold elements. The aim of the study was to find a way to construct a symmetric group of substitutions of degree 2n in the threshold basis. For this purpose, a method for implementing transpositions is proposed, with the help of which any transposition can be constructed, which allows us to say that it is possible to implement the entire symmetric group of substitutions of degree 2n. From a computational point of view, the provisions of the article are of exceptional interest due to the simplicity of the algorithm for implementing substitutions.

The system of metrological support is the basis of product quality management at a machine-building enterprise. The most important element of metrological support is the real quality parameters. It was studied that the administrative management system does not create conditions for the implementation of objective technical management and, as a result, for the optimization of the management structure, reduction of production costs and quality assurance. This problem can be solved only through the development of appropriate mathematical models of metrological support systems and production process control. However, in order to build mathematical models of metrological support and production process control systems, it is necessary to establish functional and structural diagrams of the technological process and form a process for obtaining graphic models using product reliability parameters. A model is a simplified system that reflects individual elements and more important aspects of the process under study. The same process can be described by different models, and one model can describe different processes. One of the most important and difficult issues in modeling is the definition of key indicators of the system, which should more fully reflect the quality of the product. These parameters include failure, durability, time spent on product development and commissioning, etc. Thus, the problem of modeling a metrological assurance system can be formulated as follows: it is necessary to find a system that meets the aggregate requirements of the initial data, and in this case the quality indicators should have the best values in accordance with a previously selected higher criterion.

The purpose of the research is to analyze the efficiency of using a planetary vibrodrive (vibratory drive) with kinematically unbalanced masses in a vibratory apparatus for mixing liquid media. The article gives a theoretical justification of the effectiveness of supplementing the configuration of a vibrodrive with an additional inertia block and presents the results of computer simulation of the oscillatory processes arising in the system, which reflect the predominant features of the proposed design solution. The use of a planetary vibrodrive with kinematically unbalanced masses allows one to create high-frequency controlled circular oscillations of the working body. At the same time, the inclusion of an additional rotatable body into the system increases the range of controlling the oscillation parameters of the working body and enables to regulate independently the oscillation amplitude and frequency. The independence of the vibration parameter control allows one to ensure a uniform distribution of the velocities of the stirred liquid motion to obtain a homogeneous dispersion medium. The proposed design solution increases the efficiency of the ongoing vibromechanical processes and adds a supplementary cavitation factor of influence on the liquid medium. Hydrodynamic cavitation, which is created due to the liquid pulsation when the slots on the rotating elements of the vibrodrive are closed, eliminates the presence of stagnant zones in the mixed medium. Due to the use of a planetary vibrodrive with a rotating support body in a vibratory apparatus for mixing liquid media, the technological process of obtaining medium and highly dispersed emulsions is intensified at minor changes in the design of the apparatus. The improved technological capabilities of the process of mixing liquid mixtures allow one to mix substances with different properties of the dispersion phase. In this case, dispersion phases can be both liquid and solid, which are crushed and mixed in a dispersion liquid medium. Conclusion. The use of a planetary vibrodrive with kinematically unbalanced masses in a vibratory apparatus for mixing liquid media increases the efficiency of the technological process and simultaneously increases the quality indicators of the resulting emulsions and suspensions.