# Alexey V MelkikhUral Federal University | UrFU · Department of Technical Physics

Alexey V Melkikh

Doctor of science (phys and math)

## About

156

Publications

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1,127

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Introduction

Alexey V Melkikh currently works at the Department of Technical Physics, Ural Federal University. Alexey does research in Theory of Evolution, Quantum Physics and Cognition. Their current project is 'New theory of evolution.'

Additional affiliations

September 1992 - present

## Publications

Publications (156)

The current protein folding literature is reviewed. Two main approaches to the problem of folding were selected for this review: geometrical and biophysical. The geometrical approach allows the formulation of topological restrictions on folding, that are usually not taken into account in the construction of physical models. In particular, the topol...

In this article, the evolution of viruses is analyzed in terms of their complexity. It is shown that the evolution of viruses is a partially directed process. The participation of viruses and mobile genetic elements in the evolution of other organisms by integration into the genome is also an a priori directed process. The high variability of genom...

A review of the theories of the existence of sexes, genetic diversity, and the distribution of mutations among organisms shows that all these concepts are not a product of random evolution and cannot be explained within the framework of Darwinism. Most mutations are the result of the genome acting on itself. This is an organized process that is imp...

This article continues the development of the idea that all human behavior and thinking are innate. A model of thinking and functioning of the brain has been constructed, which is capable of explaining both the accuracy of molecular processes and the innateness of behaviors. The focus of the model is the phase of the wave function of the particle,...

Morphogenesis mechanisms are considered from the point of view of complexity. It has been shown that the presence of long-range interactions between biologically important molecules is a necessary condition for the formation and stable operation of morphological structures. A quantum model of morphogenesis based on non-Archimedean analysis and the...

This paper continues the process of reconciling results obtained when investigating heat transfer in the supercritical liquid–vapor region inherent in stationary and fast processes. A relatively simple model of non-stationary heat transfer at the microscopic level in a non-idealized system is constructed. The model provides a possible explanation f...

This paper continues the process of reconciling results obtained when investigating heat transfer in the supercritical liquid-vapour region inherent in stationary and fast processes. A relatively simple model of non-stationary heat transfer at the microscopic level in a non-idealised system is constructed. The model provides a possible explanation...

A model of the dependence of thermal conductivity of liquid mixtures on their concentration is constructed on the basis of a series connection of the thermal resistances of their components. The equivalent resistance model of the “Filaments” type is found to serve as a valid basis for describing the phenomenon of additional thermal resistance obtai...

Запутанность при неупругом рассеянии частиц тесно связана с невозможностью однозначного решения задачи рассеяния на основе законов сохранения. Как бы ни были сложны приборы, измеряющие состояние квантовых частиц, они неизбежно должны включать в себя процесс неупругого рассеяния. Только в таком случае прибор может получить информацию о состоянии час...

A review of the physicochemical models of the movement of protocells and bacteria was performed. The mechanisms of gliding and movement based on flagella are considered. Based on the models, the average speed of movement of protocells and bacteria was calculated. A physicochemical model of bacterial gliding was constructed. The efficiency of the pr...

A model of pulsed heat transfer for a liquid (isopropanol) with an initial pressure near and far from the critical one is constructed. The model explains the reason for the increase in thermal resistance when approaching the critical point. The reason for this effect is that the thermal diffusivity is low near the critical point, which leads to the...

- The evolution of viruses is a controlled process that occurs mainly in the host cell. The high variability of genomes (including antibodies), which differs by orders of magnitude for various viruses and their hosts, is not the result of a random process but the result of the action of a molecular genetic control system. In this sense, viruses, to...

In this paper, a constructive definition of entanglement for nonidentical particles is given. It is shown that particles arising in the process of inelastic scattering are entangled with each other. This property is a consequence of the symmetry of fundamental interactions. Considering detectors of elementary particles, it was concluded that only i...

In this article, we present new data on the non-stationary heat transfer by partially-soluble binary liquids in the course of deep penetration into the region of their metastable and unstable (short-term superheated with respect to the diffusion spinodal) states. The object of research was an aqueous solution of polypropylene glycol-425 having the...

The transport processes of substances in various plant tissues are extremely diverse. However, models aimed at elucidating the mechanisms of such processes are almost absent in the literature. A unified view of all these transport processes is necessary, considering the laws of statistical physics and thermodynamics. A model of active ion transport...

Two-player games have been sufficiently researched, but three-player games have a much greater wealth of solutions, in particular, nonstationary solutions. However, unsteady solutions of three-player games have not been studied in the literature. On the basis of numerical modeling, the dynamic behavior of a 2 × 2 × 2 game with three players is inve...

Многие понятия в математике не до конца определены, а их свойства неявно подразумеваются, что приводит к парадоксам. На основе концепции врожденных программ поведения и мышления сформулированы новые основания математики. Предложена основная аксиома математики, согласно которой любые математические объекты имеют физический носитель. Этот носитель мо...

Many concepts in mathematics are not fully defined, and their properties are implicit, which leads to paradoxes. New foundations of mathematics were formulated based on the concept of innate programs of behavior and thinking. The basic axiom of mathematics is proposed, according to which any mathematical object has a physical carrier. This carrier...

Quantum entanglement can cause the efficiency of a heat engine to be greater than the efficiency of the Carnot cycle. However, this does not mean a violation of the second law of thermody-namics, since there is no local equilibrium for pure quantum states, and, in the absence of local equilibrium, thermodynamics cannot be formulated correctly. Von...

A definition of entanglement based on the overlap of wave functions of identical particles is proposed. A definition of a quantum system of particles related to their entanglement with each other and the environment is proposed. It is shown that in the general case, the uncertainty principle cannot be formulated for a system of quantum particles in...

If the isolated system of bosons and fermions was initially in a pure maximally entangled quantum state, then as a result of decoherence caused by the creation and annihilation of parti-cles, this system not only enters a mixed state but also achieves equilibrium. The time of such a transition does not depend on the size of the system but is determ...

A set (flock) of individuals moving in both two-dimensional and three-dimensional spatial representations with a constant modulus of speed, which tend to get to the center of the flock, is considered with possible delays and errors in determining the location of the center of the flock. The roles of noise in transient processes and delays in the es...

It has been shown that the contact melting rate for metals is determined by the fact that at least one of them has a quasi-liquid layer on the surface. As a result, the diffusion of metal atoms occurs in the liquid phase, and not in the solid phase, which determines the characteristic contact melting time (seconds and minutes).

In this chapter, we postulate an integral concept of information processing in the universe, on the basis of a new biophysical principle, coined the generalized music (GM)-scale of EMF frequencies. Meta-analyses of current biomedical literature revealed the presence of a distinct pattern of discrete EMF frequency bands in a wide range of animate an...

Что такое жизнь с точки зрения науки XXI века?
Эта книга – итог моей 20 летней работы над новой теорией эволюции, а также над широким кругом вопросов, таких как приобретение знаний, морфогенез, упаковка белков и возникновение жизни во вселенной. Я предлагаю не только новую теорию эволюции, но и новую концепцию жизни вообще. Книга основана на пример...

This is the editorial letter devoted to the special issue of Quantum Biosystems, vol. 11, 2020 with the target papers of Meijer, Jerman, Melkikh and Sbitnev om Consciousness in the Universe

Part 2 of this review article provides a novel conceptual bridge between living and non-living systems, being of relevance for the areas of biophysics, brain research, as well as for mechanisms of biological evolution. As to the latter aspect, the potential role of phyllosilicates (clay materials) in the generation of a primordial biofield is treat...

Part 1 of this review article submits an integral concept of information processing in the universe on the basis of a generalized musical (GM)-scale of discrete EMF frequencies. Meta-analyses of current biophysical literature revealed the effects of similar EMF frequency patterns in a wide range of animate and non-animate systems. This provided a n...

A model of active ion transport in plant root hair cells was built and can be used to independently calculate the concentration of ions inside plant cells and the resting potential on its membrane. Using the model, the maximum height to which water can be transported in plants was calculated.

The book is the result of 20 years of work of the author on the theory of directed evolution, as well as on a wider range of biological phenomena (interaction between biologically important molecules, thinking, symbiosis, morphogenesis and others). This book represents a new paradigm in biology.

The consideration of measuring instruments as macroscopic bodies leads to neglect of the microscopic processes that occur during measurements. This disregard is not justified in general cases. As an example of measurements using microscopic instruments, the scattering of a photon by an electron with electron interference at two slits (Compton effec...

This review article submits an integral concept of information processing in the universe on the basis of a generalized musical (GM)-scale of discrete EMF frequencies. Meta-analyses of current biophyisical literature revealed the effects of similar EMF frequency patterns in a wide range of animate and non-animate systems. This provided a novel conc...

This review article submits an integral concept of information processing in the universe on the basis of a generalized musical (GM)-scale of discrete EMF frequencies. Meta-analyses of current biophyisical literature revealed the effects of similar EMF frequency patterns in a wide range of animate and non-animate systems. This provided a novel conc...

Calculations of the chloroplast trajectory from the frames of the video stream were made; the calculation is based on tracking specific points (descriptors). Based on the analysis of the movement of chloroplasts, it can be concluded that in the process of movement they influence each other in a rather complicated way.

Optimal laser processing parameters searching has been performed for ceramic powder 3D printing. The alumina powder and zirconia were taken as a mixture of ceramic powder. The selection has been done by varying the scanning speed, laser power, and scanning strategy. An experimental installation with a laser radiation source (Nd: YAG laser) with a m...

The mechanism of movement of the myosin heads along the actin filament is described. Based on the assumption that in the excited state of the enzyme (achieved when interacting with ATP), the probability of displacement of one head of myosin is less than the probability of displacement of the other head of myosin, a simplified theoretical model of t...

A model for the transport of substances in the contractile vacuole has been constructed. The concentration ratios of ions inside and outside the vacuole obtained on the basis of the model are in qualitative agreement with experimental data. The estimation of the work that is necessary to complete vacuoles in one cycle is calculated.

To solve the basic paradox of molecular biology, a quantum model of interaction between biologically important molecules has been proposed, which takes into account long-range interactions between molecules.

The prisoner's dilemma game is the most known contribution of game theory into social sciences. Here we describe new implications of this game for transactional and transformative leadership. While the autocratic (Stackelberg's) leadership is inefficient for this game, we discuss a Pareto-optimal scenario, where the leader L commits to react probab...

The prisoner’s dilemma game is the most known contribution of game theory into social sciences. Here we describe new implications of this game for transactional and transformative leadership. While the autocratic (Stackelberg’s) leadership is inefficient for this game, we discuss a Pareto-optimal scenario, where the leader L commits to react probab...

Non-equilibrium-statistical models of intracellular transport are built. The most significant features of these models are microscopic reversibility and the explicit considerations of the driving forces of the process - the ATP-ADP chemical potential difference. In this paper, water transport using contractile vacuoles, the transport and assembly o...

Models of the transport of substances in protocells are considered from first physicochemical principles. Functional similarities and differences in the transport systems of archaea, cyanobacteria, E.coli, and diatoms have been analyzed. Based on the selection of the most important transport systems, a model of transport of substances through the m...

A model of the expansion of the universe is proposed, based on the assumption that the universe in its early stages was not in a hot state but in a pure, metastable quantum state. This assumption makes it possible to solve the basic paradoxes of standard cosmology from the unified positions and within the framework of the standard model, namely, th...

The interaction between biologically important molecules in the brain can be the basis of the quantum metalanguage, which controls the behavior of humans and animals. The dynamics of biologically important molecules must include their topological properties. Thus the work of the brain can only be consistently described using quantum mechanics.

Предложена новая когнитивная парадигма, основанная на врожденных программах поведения человека и животных. Показано, что нетривиальные квантовые эффекты должны играть важную роль в работе мозга.

The article proposes a nonlinear optimal control method for synchronization of neurons that exhibit nonlinear dynamics and are subject to time-delays. The model of the Hindmarsh–Rose (HR) neurons is used as a case study. The dynamic model of the coupled HR neurons undergoes approximate linearization around a temporary operating point which is recom...

Problems with mechanisms of thinking and cognition in many ways remain unresolved. Why are a priori inferences possible? Why can a human understand but a computer cannot? It has been shown that when creating new concepts, generalization is contradictory in the sense that to be created concepts must exist a priori, and therefore, they are not new. T...

Problems with mechanisms of thinking and cognition in many ways remain unresolved. Why are a priori inferences possible? Why can a human understand but a computer cannot? It has been shown that when creating new concepts, generalization is contradictory in the sense that to be created concepts must exist a priori, and therefore, they are not new. T...

The assumption that the early universe was not hot but in a pure quantum state allowed the main problems of cosmology to be solved from a single point: the flatness and homogeneity of the universe, in addition to the predominance of matter over antimatter and the absence of monopoles. A model according to which this quantum state itself was formed...

In this study, a model is constructed in which the formation of new synaptic contacts and the tuning of synaptic weights are mediated by quantum nonlocal interactions. The interaction between biologically important molecules in the brain can be the basis of the quantum metalanguage, which controls the behavior of humans and animals. The dynamics of...

The assumption that the early universe was not hot but in a pure quantum state allowed the main problems of cosmology to be solved from a single point: the flatness and homogeneity of the universe, in addition to the predominance of matter over antimatter and the absence of monopoles. A model according to which this quantum state itself was formed...

The dependence of the control on the values of the external ion concentration is found On the basis of numerical calculations. This dependence provides the maximum efficiency while simultaneously meeting the limitations on the internal ion concentration for the simplest system in which one substance is transported by two active transport systems.

The time dependence of distribution function for the system composed of material points having circular orbits at initial moment of time with and without massive central body is obtained. As a result of chaotization of orbits, a part of material points evaporates (acquires positive total energy). Dependence of the fraction of evaporated material po...

The article applies nonlinear optimal (H-infinity) control to underactuated robotic systems using as a case study Furuta’s pendulum. The pendulum’s dynamic model is first transformed to an equivalent form after applying partial feedback linearization. The later description of the pendulum’s dynamics undergoes approximate linearization which takes p...

A model of the expansion of the universe is proposed, based on the assumption that the universe in its early stages was not in a hot state but in a pure, metastable quantum state. This assumption makes it possible to solve the basic paradoxes of standard cosmology from the unified positions and within the framework of the standard model, namely, th...

A model representing isotope separation during water evaporation in plants was constructed. The model accounts for substance diffusion, convective transfer and evaporation from the surface of the leaves. The dependence of the system’s separation and enrichment coefficients on various parameters (liquid velocity, diffusion coefficient, and potential...

We consider connection between the mechanisms of evolution of life and the existence of conditions suitable for life in the universe. In particular we review the problem of calculating the number of civilizations that might exist in the universe. We conclude that to solve this problem, the different mechanisms involved in the evolution of life shou...

The common mechanisms of ion transport for some single-cell organisms were identified on the basis of the earlier proposed algorithm, which is based on selection of the main subsystem of ion transport. Under the assumption that these were the systems of the ancestor of single-cell organisms, the model of the ion transport through the membrane of th...

The article describes the results of the experiments conducted in the developed software environment of imitational modeling named «Chase». The experiments were aimed at determining the optimal strategies for the mutual behavior of the predator and the prey. The software environment simulates the processes under consideration in the early stages of...

It has been experimentally proved that it is possible to produce a metal capillary structure with significant capillary action and free shape configuration using selective laser melting. Capillaries are created by dividing the solid detail volume into micro-sized parallel walls with roughness as a result of SLM 3D printing. Experiments are conducte...

It is shown that the thermodynamical parameters (temperature, pressure, entropy) as well as the concept of “thermodynamical equilibrium”, in general, cannot be introduced for systems with long-range interactions (gravity). Exceptions are dense systems (stars, planets, gas clouds), where the local equilibrium is caused by short-range forces, as well...

The result of Wheeler's delayed choice experiment is a natural consequence of the entanglement of moving photons and particles (atoms, molecules) of the slit through which they move. The inclusion of quantum fields (taking into account that speed of virtual particles is not limited) self-consistently explains why interaction's propagation velocity...

The Darwinian interpretation (Di) of evolutionary process, and its subsequent development in the form of modern evolutionary synthesis (MES), plays a paradigmatic role in the mainstream biological thought. However, the main role in the improvement from Di to MES has depended on population genetics. Conventional ecosystem ecology has added relativel...

We consider connection between the mechanisms of evolution of life and the existence of conditions suitable for life in the universe. In particular we review the problem of calculating the number of civilizations that might exist in the universe. We conclude that to solve this problem, the different mechanisms involved in the evolution of life shou...

A review of the mechanisms of speciation is performed. The mechanisms of the evolution of species, taking into account the feedback of the state of the environment and mechanisms of the emergence of complexity, are considered. It is shown that these mechanisms, at the molecular level, cannot work steadily in terms of classical mechanics. Quantum me...

The paper proves that the PDE dynamic model of the highway traffic is a differentially flat one and by applying spatial discretization it shows that the model’s transformation into an equivalent linear canonical state-space form is possible. For the latter representation of the traffic’s dynamics, state estimation is performed with the use of the D...

This paper proposes a new nonlinear H-infinity control method for stabilization and synchronization of distributed interconnected synchronous generators. At first stage, local linearization of the distributed generators’ model is performed round its present operating point. The approximation error that is introduced to the linearized model is due t...

The evolution of material points interacting via gravitational force in 3D space was investigated. At initial moment points with masses of 2.48 Sun masses are randomly distributed inside a cube with an edge of 5 light-years. The modeling was conducted at different initial distributions of velocities and different ratios between potential and kineti...

Quantum entanglement is discussed as a consequence of the quantization of fields. The inclusion of quantum fields self-consistently explains some quantum paradoxes (EPR and Hardy's paradox). The definition of entanglement was introduced, which depends on the maximum energy of the interaction of particles. The destruction of entanglement is caused b...

As a result of numerical modeling the dependence of relative mean-square fluctuation of evaporating particles for the ring of material points interacting via gravitational forces is obtained. It is shown that this dependence is 1/Nα, where α = 0.39-0.6 for different virial ratios. The dependence of a fraction of evaporated particles on the width of...

The background of this study is that models of the evolution of living systems are based mainly on the evolution of replicators and cannot explain many of the properties of biological systems such as the existence of the sexes, molecular exaptation and others. The purpose of this study is to build a complete model of the evolution of organisms base...

The article proposes a new flatness-based control method implemented in successive loops which allows for stabilization of the heart’s electrical activity. Heart’s pacemaking function is modeled as a set of coupled oscillators which potentially can exhibit chaotic behavior. It is shown that this model satisfies differential flatness properties. Nex...

A new control method based on differential flatness theory is developed in this article, aiming at solving the problem of regulation of haemodynamic parameters, Actually control of the cardiac output (volume of blood pumped out by heart per unit of time) and of the arterial blood pressure is achieved through the administered infusion of cardiovascu...

The article proposes a nonlinear optimal control
method for the administered infusion of insulin, aiming at
regulation of patients’ blood glucose levels. The dynamic
model of blood glucose concentration which receives as control
input the insulin’s infusion rate, undergoes approximate
linearization through Taylor series expansion and through
the co...

The Fokker?Planck PDE describes the dynamics of several biochemical and biological processes, as well as of phenomena at molecular scale. In this paper, the problem of feedback control of the Fokker?Planck PDE is studied. It is shown that the procedure for numerical solution of Fokker?Planck PDE results into a set of nonlinear ordinary differential...

On the basis of the previously proposed hypothesis a model of charged substances transport through the membrane of a minimal cell was developed. Effectiveness evaluation of selection of a type of transport mechanisms was proposed.

A new control method based on differential flatness theory is developed in this study, aiming at solving the problem of regulation of haemodynamic parameters. Actually control of the cardiac output (volume of blood pumped out by heart per unit of time) and of the arterial blood pressure is achieved through the administered infusion of cardiovascula...

A major limitations for many heat engines is that their functioning demands on-line control, and/or an external fitting between environmental parameters (e.g. temperatures of thermal baths) and internal parameters of the engine. We study a model for an adaptive heat engine, where---due to feedback from the functional part---the engine's structure a...

We consider a system of inductively coupled oscillators on the basis of self-heating. It is demonstrated that the system has a metastable chaos. A metastable phase state that has a spectrum of Lyapunov exponents (0.0123, 0.0006,-0.2019,-0.223,-3.9748,-8.2018) and a fractional Lyapunov dimension (0 .9 8 L D ) is found. A strange non-chaotic attract...

A boundary control method for nonlinear partial differential equations (PDEs) is developed, with the use of differential flatness theory. First, following the procedure for numerical solution of nonlinear PDEs, it is shown that the PDE is equivalently represented by a set of nonlinear ordinary differential equations (ODEs) and an associated state e...

The separation of the isotopes of certain ions can serve as an important criterion for the presence of life in the early stages of its evolution. A model of the separation of isotopes during their transport through the cell membrane is constructed. The dependence of the selection coefficient on various parameters is found. In particular, it is show...

The problem of the wave function collapse (a problem of measurement in quantum mechanics) is considered. It is shown that it can be solved based on quantum mechanics and does not require any additional assumptions or new theories. The particle creation and annihilation processes, which are described based on quantum field theory, play a key role in...

Melkikh A.V. Nonlinearity of quantum mechanics and the solution of the problem of wave function collapse. Communications in Theoretical Physics. 2015. V.64, No. 1, 47-53.

Two of the most fundamental questions concerning the origin of life, how
biologically important molecules (RNA, proteins) find their unique spatial configuration,
and how coding sequences can evolve beyond a certain critical length, are discussed. It is
shown that both of these problems have not been solved. Experiments that could clarify
the mecha...

The paper proves that the PDE dynamic model of the highway traffic is a differentially flat one and by applying spatial discretization its shows that the model’s transformation into an equivalent linear canonical state-space form is possible. For the latter representation of the traffic’s dynamics, state estimation is performed with the use of the...

Two main problems of replication in the early stages of evolution are discussed: the problem of exponentially large number of conformational degrees of freedom and the problem of enumeration of variants.

The Fokker-Planck PDE describes the dynamics of several biochemical and biological processes, as well as of phenomena at molecular scale. In this paper, the problem of feedback control of the Fokker-Planck PDE is studied. It is shown that the procedure for numerical solution of Fokker-Planck PDE results into a set of nonlinear ordinary differential...