Temur Kalanov

• Head of Department at Home of Physical Problems

The irrefutable proof of the incorrectness of the Korteweg-De Vries (KdV) equation is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The unity of formal logic and rational dialectics is the only correct criterion of truth. The proof leads to the following irrefutable statement: the Kor...

A detailed proof of the incorrectness of the foundations of the differential calculus is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: differential calculus represents a gross error in mathematics and physics. The proof of this s...

A detailed proof of the incorrectness of the foundations of the differential calculus is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: differential calculus represents a gross error in mathematics and physics. The proof of this s...

A detailed proof of the incorrectness of the foundations of the differential calculus is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: differential calculus represents a gross error in mathematics and physics. The proof of this s...

A detailed proof of the incorrectness of the classical wave equation is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: the classical wave equation and the derivation of the classical wave equation are a gross error in mathematics...

The critical analysis of the starting point of the theory of complex numbers is proposed. The unity of formal logic and rational dialectics is methodological basis of the analysis. The analysis leads to the following main results: (1) the definition of a complex number contradicts to the laws of formal logic, because this definition is the union of...

The critical analysis of the foundations of standard trigonometry is proposed. The unity of formal logic and rational dialectics is methodological basis of the analysis. The analysis leads to the following main results: (1) trigonometry does not treat a right triangle as a material system. Therefore, trigonometry does not satisfy the system princip...

The critical analysis of the foundations of the standard theory of harmonic oscillations is proposed. The unity of formal logic and rational dialectics is methodological basis of the analysis. The analysis leads to the conclusion that this theory represents gross error. The substantiation (validation) of this statement is the following main results...

An analysis of the foundations of geometry within the framework of the correct methodological basis-the unity of formal logic and rational dialectics-is proposed. The analysis leads to the following result: (1) geometry is an engineering science, but not a field of mathematics; (2) the essence of geometry is the construction of material figures (sy...

The critical analysis of the foundations of vector calculus and classical electrodynamics is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. The main results are the following statements: (1) a vector is a property of the motion and of the interaction of material objects, i.e., the concept of a v...

About my articles.

The critical analysis of the starting point of mathematical (symbolic) logic is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. It is shown that mathematical logic represents incorrect mathematical theory. Arguments are as follows. (1) Pure mathematics operates on mathematical quantity. Pure math...

The critical analysis of the starting point of mathematical (symbolic) logic is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. It is shown that mathematical logic represents incorrect mathematical theory. Arguments are as follows. (1) Pure mathematics operates on mathematical quantity. Pure math...

The critical analysis of the foundations of the differential calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that differential calculus is fictitious mathematical theory because the concept of the limiting process is the starting point for definition of the derivative f...

The doctrine of reality and a new paradigm of science are proposed. The unity of formal logic and rational dialectics is the correct methodological basis for the solution of the problem of reality. The main result is the following system of conceptions: (1) reality represents the unity of opposites: the controlling (governing) aspect and the contro...

The critical analysis of the problem of creation of Artificial Intelligence (AI) and of Artificial General Intelligence (AGI) is proposed. The unity of formal logic and of rational dialectics is the methodological basis of the analysis. The main results of the analysis are as follows: (1) the model of man represents the unity of the two material as...

Analysis of the foundations of standard trigonometry is proposed. The unity of formal logic and of rational dialectics is methodological basis of the analysis. It is shown that the foundations of trigonometry contradict to the principles of system approach and contain formal-logical errors. The principal logical error is that the definitions of tri...

Critical analysis of the standard foundations of differential and integral calculus -- as mathematical formalism of theoretical physics -- is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. It is shown that: (a) the foundations (i.e. d 1ptyd,;=;δ,;->;0,;δ,δ,, δ,;->;0;δ,δ,;=;δ,;->;0;f,( x;+;δ, );-...

The logical analysis of the general accepted description of mechanical motion of material point M in classical mechanics is proposed. The key idea of the analysis is as follows. Let point M be moved in the positive direction of the axis O 1ptx. Motion is characterized by a change of coordinate x,( t ) -- continuous function of time t(because motion...

Critical analysis of classical electrodynamics within the correct methodological basis - unity of formal logic and of rational dialectics - is proposed. The main result of analysis is as follows: 1) quantitative (mathematical) relations proposed by Faraday, Maxwell, Lorentz, and others have following qualitative determinacy: (field) = (source of fi...

Critical analysis of the generally accepted (standard) foundations of differential and integral calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that the generally accepted foundations are based on the logically erroneous concepts of "increment as variable quantity", "in...

Lately, the critical analysis of the foundations of physics attracts attention of independent researchers. But to present day, physicists have no found methodological basis for critical analysis of the theories created by classics of physics. This book, therefore, provides the correct methodological basis – the unity of formal logic and of rational...

The approach to the critical analysis of classical mechanics, based on formal logic, is proposed. From the logic point of view, the problem is that to identify a material point M, i.e. to establish the identity relation between concepts ``physical object M`` and ``mathematical object M''. The idea of the correct solution of this problem is as follo...

The work is devoted to the 21 st century's most urgent problem - the problem of existence of God. The theoretical proof of the existence and of the uniqueness of God, based on the correct method of knowledge - unity of formal logic and of rational dialectics, - is proposed. This proof represents a theoretical model of God: a system of axioms from w...

A new analysis of the problem of Planck constant is proposed. The analysis is based on the formal logic. It is shown [1] that well-known formula En;≡;hnun (where En, h, and nun are energy, Planck constant (i.e. quantum of action), and the frequency of the periodic process of mutual transformation of the internal and external motions, respectively)...

The correct theoretical analysis of the generally accepted foundations of theory of photon (quantum) gas is proposed. The principle of the unity of formal logic and of rational dialectics is the correct methodological basis of the analysis. The new results- the correct quantum-statistical foundations- obtained within the framework of the formulated...

The correct theoretical analysis of the generally accepted foundations of classical thermodynamics is proposed. The principle of the unity of formal logic and rational dialectics is a methodological basis of the analysis. The result is as follows: the foundations of classical thermodynamics (i.e., the first and second laws, equation of state, conce...

The problem of the SETI is not solved till now because idea of the SETI represents a methodological error in cosmology and astrophysics. This fact means that one should prove existence of Supreme Intelligence in a correct way. In this connection, the hypothesis of control of the Universe is proposed. The hypothesis is based on the new point of view...

The problem of the correct approach to exploration of the Universe cannot be solved if there is no solution of the problem of existence of God (Creator, Ruler) in science. In this connection, theoretical proof of existence of God is proposed. The theoretical model of God -- as scientific proof of existence of God -- is the consequence of the system...

The correct theoretical analysis of the generally accepted foundations of the special theory of relativity is proposed. The principle of the unity of formal logic and dialectics is a methodological basis of the analysis. The result is as follows: the foundations (i.e., the interpretation of Michelson-Morley's experimental data and calculations, the...

The problem of truth in science -- the most urgent problem of our time -- is discussed. The correct theoretical analysis of the foundations of theoretical physics is proposed. The principle of the unity of formal logic and rational dialectics is a methodological basis of the analysis. The main result is as follows: the generally accepted foundation...

The critical analysis of the generally accepted formulation of the first law of thermodynamics is proposed. The purpose of the analysis is to prove that the standard formulation contains a mathematical error and to offer the correct formulation. The correct formulation is based on the concepts of function and differential of function. Really, if in...

The critical analysis of the generally accepted foundations of thermodynamics is proposed. Within the framework of the work [1], the following statement is proved: Gibbs's quantum canonical distribution fn =f0 exp (-{En } / {{En } {T)}}} {T)} (whereEn , n=0,;1,;... , fn , T are the energy of the subsystem, probability, and temperature, respectively...

As is known, the problem of the Search for Extra Terrestrial Intelligence (SETI) is not solved till now. The fact is that ``Cosmos keeps silence.'' In this connection, within the framework of the approach [1], a new analysis of the problem of the SETI is proposed. The new theoretical results are as follows. (1) The problem of the SETI cannot be sol...

The hypothesis of Universe's ``system block'' is proposed. The hypothesis is based on the new philosophy and gnosiology [1--3] according to which information is essence of the Universe, and material objects are manifestation of the essence. The hypothesis is formulated as follows: (1) the Universe represents the unity of opposites: essence and phen...

The critical analysis of Bose's method---starting-point of Dirac's method of secondary quantization---is proposed. It is proved that Bose's method for derivation of Planck's formula stated by S.N. Bose in the article ``Planck's law and light quanta hypothesis'' (1924) contains logical errors (i.e. errors in definition of concepts). The main logical...

The critical analysis of Dirac's theory of physical vacuum is proposed. The purpose of the analysis is to prove that the foundations of Dirac's theory include Bose's logical errors. The proof is based on the following statements: (a) a material object has physical states, and physical states are the inseparable characteristics of a material object...

The critical analysis of Bose-Einstein statistics and Fermi-Dirac statistics---consequence of Bose's method---is proposed. The main result of the analysis is as follows. (1) In accordance with the definition, Bose-Einstein (B-E) and Fermi-Dirac (F-D) distribution functions f(B-E)^s , f(F-D)^s are the average values of the random quantity: f^s≡ε^s /...

In connection with the fact that the special theory of relativity and, hence, the general theory of relativity is incorrect [1], a new theory of black hole is proposed. This theory is methodologically connected with the new theory of physical vacuum [2] and based on the following philosophical statements: (1) information is essence of the Universe,...

In connection with the fact that foundations of quantum mechanics contain logical errors [1], the correct approach to the solution of the problem of quantization of energy is proposed. The correct approach is based on the following key idea: (1) properties of a particle do not exist separately of a particle; (2) energy is inalienable property of a...

The critical analysis of the Maxwell distribution is proposed. The main results of the analysis are as follows. (1) As is known, an experimental device for studying the Maxwell distribution consists of the following basic physical subsystems: (a) ideal molecular gas enclosed in a vessel (gas is in the equilibrium state); (b) molecule beam which is...

A new theory of physical vacuum is proposed. This theory is based on the principle of unity of formal logic and dialectics. It is shown that physical vacuum does not represent system of material objects, not consist of particles, fields, bodies and is neither a particle, nor a field, nor a body. Therefore, vacuum has no properties (for example, ene...

The correct critical analysis of the generally accepted foundations of quantum mechanics is proposed [1]. The purpose of the analysis is to prove that the foundations include logical errors. The principle of the unity of formal logic and dialectics is a methodological basis of the analysis. The result is as follows: (a) the generally accepted found...

The correct solution of the problem of the correspondence principle is suggested. It represents the new point of view which has arisen from the critical analysis of the foundations of physics (classical and quantum mechanics, statistical physics and physical kinetics) and philosophy. The main idea following from the analysis is that the concepts (t...

A critical analysis of the basis of the theory of relativity is offered. The purpose of the analysis is to reveal physical meaning of the Lorentz transformations. The starting-point of the analysis is represented by: (a) the standard way of deduction of Lorentzs formulae, i.e. the way of introduction (insertion) of the Galilean transformation into...

A new theory of space is suggested. It represents the new point of view which has arisen from the critical analysis of the foundations of physics (in particular the theory of relativity and quantum mechanics), mathematics, cosmology and philosophy. The main idea following from the analysis is that the concept of movement represents a key to underst...

A new approach to the problem of knowledge of the Universe is suggested. This approach represents the new point of view which has arisen from the critical analysis of the foundations of physics, cosmology and philosophy (dialectical materialism). The principal idea following from the analysis is that only concepts (categories) and principles of dia...

A new theory of the system of reference is suggested. It represents the new point of view which has arisen from the critical analysis of the foundations of physics (in particular, the theory of relativity and quantum mechanics), mathematics, cosmology and philosophy. The main idea following from the analysis is that the correct concept of system of...

A new theory of time is suggested. It represents a new viewpoint that arose from the critical analysis of the foundations of physics and philosophy. The principal idea leading to the theory is that the notion of movement presents the key to understanding of the essence of time. The theory is formed by the following statements. (1) Movement is chang...

A new basis of the quantum theory of free particles is suggested. It represents a new viewpoint that arose from the critical analysis of statistical physics, the special theory of relativity and quantum mechanics. The basis is formed by the following heuristic principles. (1) The principle of motion of quantum particles (generalization of the princ...

The basis of statistical physics that was created by Maxwell, Boltzmann, Gibbs, Planck, Bose, Einstein, Fermi has been analyzed critically. The analysis is based on the concepts of discrete accidental quantity (the energy of the subsystem), statistical ensemble of identical systems and temperature. The key idea is that the expression for the distri...

The unitary basis of statistical physics and physical kinetics are suggested. A new approach to the problem of unitarization includes as follows. (1) The logical analysis of the works of the classics (Maxwell, Boltzmann, Gibbs, Planck, Bose, Einstein, Fermi) on the base of the concepts of discrete accidental quantity (the energy of the subsystem),...

The basis of the special theory of relativity has been analyzed, namely interference experiments and calculations of Michelson-Morley, contraction hypothesis and formulas for Lorentz's transformation. The results of the critical analysis are as follows. 1. The contradiction between the experimental and calculated data of Michelson-Morley is due to...

The evolution of an ideal system consisting of vibrationally excited oscillator molecules in an inert gas atmosphere is described in terms of a semiclassical approximation. To determine the vibrational molecule distribution function, the main kinetic equation is formulated in accordance with a model of thermal molecule dissociation in an inert gas....

An attempt is made to correctly formulate the superposition principle for the relaxation of the vibrational energy of diatomic molecules, modeled by quantum oscillators, in a mixture of ideal gases A + B. The formulation proposed here is based on a kinetic equation and is shown to lead to results that are fully consistent with the definition of com...

The objective of the study was to analyze the nonlinear character of vibrational-translational (VT) relaxation due to the VT transition in each of the colliding molecules and to determine the time dependence of the VT relaxation rate of the mean vibrational energy. It is shown that, in a one-component gas, the relaxation rate of the energy of harmo...

It is shown that VT relaxation in a diatomic gas has a nonlinear character due to VT transition in each of the colliding molecules. It is also shown that a quasi-steady (nonequilibrium) state cannot be attained in the relaxation process of anharmonic molecules. In the nonlinear theory of VT exchange examined here, the relaxation of the vibrational...

The basic concepts of the theory of vibrational relaxation in gases are reviewed. In particular, attention is given to the temporal evolution of the distribution function of vibrational energy of molecules and to the associated macroscopic characteristics in systems with a monoenergetic source of vibrationally excited particles and in systems with...

At the present time, great attention is being paid to the problem of the final state of molecular gas systems originating from a steady external effect. This is associated, first of all, with intensive investigations of the properties of molecular gas lasers and also laser initiation of chemical reactions and the isotope separation. The theoretical...

A solution is obtained to the problem of vibrational-translational relaxation in an isothermal system of diatomic molecules (harmonic oscillators) in which a delta-like source generates excited particles of the same type. A general solution is obtained to the system of kinetic equations. The distribution function of the molecules with respect to vi...

A solution is obtained to the problem of vibrational-translational relaxation in an isothermal system of diatomic molecules (harmonic oscillators) in which a delta-like source generates excited particles of the same type. A general solution is obtained to the system of kinetic equations. The distribution function of the molecules with respect to vi...

Being engaged in critical analysis of the foundations of natural sciences for 30 years, I understood the main scientific truth: there are logical errors in the statement and solution of fundamental problems. In other words, the foundations of sciences contain logical errors. This truth has not yet completely comprehended by scientists. These statem...

A new theoretical analysis of the generally accepted foundations of classical thermodynamics is proposed. The principle of the unity of formal logic and rational dialectics is a methodological basis of the analysis. The result is as follows: the foundations of classical thermodynamics (i.e., the first and second laws, equation of state, concepts of...

The principles underlying the microscopic theory of relaxation of the vibrational energy of ideal gas molecules in the field of resonant laser emission are examined. The analysis demonstrates the ill posedness of the accepted statement of the principle of superposition of photon absorption (emission) and collisional relaxation of the oscillations o...

The correct theoretical analysis of the generally accepted foundations of the theory of photon (quantum) gas are proposed. The principle of the unity of formal logic and of rational dialectics is the correct methodological basis of the analysis. The new results - the correct quantum-statistical foundations - obtained within the framework of the for...

It is shown that the stochastic process of changes in the quantum states of a monoenergetic gas of particles in the system 'source + particle gas' is described by the principal kinetic equation presented in the first part of the paper. For t approaching infinity, the solution to the equation has the form of a Gibbs canonic distribution. Therefore,...

The work is devoted theoretical and practical analysis of an actual problem – the problem of multisecting (in particular, trisecting) an angle, i.e. the problem of division of a given arbitrary angle into the given set of equal parts using only a compasses and an unmarked straightedge. General statement of a problem is formulated. The mathematical...