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As you know generally it is assumed that the Euler equation and the Navier-Stokes equation Are the equations written as some analogues of Newton equation.

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Presentation on theme: "As you know generally it is assumed that the Euler equation and the Navier-Stokes equation Are the equations written as some analogues of Newton equation."— Presentation transcript:

1 As you know generally it is assumed that the Euler equation and the Navier-Stokes equation Are the equations written as some analogues of Newton equation. Using such general approach to understanding the nature of equations (1) and (2), although out of the equation H-C it is possible to obtain a solution in the form of when describing the laminar regime of fluidity, but from this equation we can not obtain a solution from which it was possible to understand the nature of the turbulent regime of fluidity. In this situation the American mathematician T. Tao came to the conclusion that it is impossible to solve the equation of N-S using modern means of mathematics. However, we think that these conclusions were made by T.Tao ​​at analysis of problems of theoretical hydrodynamics as the problems of mathematical physics, but this approach is very doubtful, though, because its further development led to TFDP and the theory of infinite sets, which in turn, leads to new challenges and contradictions. In our view, bearing in mind these facts, there is every reason to assume that the claims of T.Tao to mathematics have their effect only in relation to its part which is connected to mathematical physics. We believe that the fundamental nature of the Euler and N-S equations could be satisfactorily interpreted if basic ideas of theoretical and empirical physics will be taken for the basis of the analysis. I. THERE ARE SOME REASONS TO DOUBT THAT WE UNDERSTAND THE TRUE NATURE OF THE EULER AND NAVIER-STOKES EQUATIONS. (1) (2) (3) (4)

2 II. ABOUT THE ATTEMPTS OF SOLVING THE PROBLEM ON THE BASE OF POSSIBILITIES OF THEORETICAL AND EMPIRICAL PHYSICS. Main equations received in the field of theoretical physics, can be arranged with the help of the diagram and the equation received in the field of combined analysis of theoretical physics and empiphysics can be organized with the help of diagram In the analysis of ideas and equations taken into account during the construction of these schemes, it was realized that the nature of the basic equations of the theory of Hamilton- Jacobi-Shred and Gibbs could be understood as the meaningful solutions obtained from the Hamilton equations for many orderly moving particles and chaotically moving particles. As it is clear from the structural peculiarities of these schemes in order to solve this problem it is necessary to clarify the understanding of the nature of Hamilton-Jacobi-Shred and Gibbs equations thus to receive a proof of the theory of chemical equilibrium relations (13). This is taken into account in the construction of the second scheme: Gibbs from his basic equations of stat. mechanics managed to get the results (14) and (15) as an evidence to the equations (11) and (12), but his program was not completed since he couldn’t obtain evidence of the equation (13). ? ? ? (8) (7) (9) (7) (10) (11)(13)(12) (14)(15)

3 III-1 HOW IT WAS PROVED THAT THE BASIC EQUATIONS OF THE THEORY OF HAMILTON-JACOBI-SCHRÖDINGER AND GIBBS REALLY HAVE SENSE FOR SOLUTIONS DERIVED FROM THE HAMILTON’S EQUATIONS Thus, to achieve our goal, i.e. to prove that the Euler and N-S equations have meaningful solutions derived from Newton's equations, previously it must be proved that the basic equations of the theory G-Y-SH and Gibbs have meaningful decisions derived from the Hamilton dynamics. Trying to solve this part of the problem, we turned to philosophy and studying the works of Descartes we realized that they contain the idea that the days will come, when the golden fund of the intellectual achievements of mankind can be systematized by the scheme 1 Scheme 1 In the construction of this scheme we took into account the basic ideas of Descartes, written by him in the field of scientific philosophy, especially the ideas set out in the "Rules for the Direction of the Mind." According to the essence of the ideas considered in the construction of this scheme, Descartes thought that the days will come when all the special sciences could be integrated on the basis of the fundamental ideas of the branch of science which could become the basis of the theory of thinking. As you might know, Descartes himself received the results of analytical geometry, taking algebra and arithmetic as the basis. Later Newton obtained his equation using the same approach.

4 Scheme 2 Algebraic kinematics Arithmetic kinematics Algebraic geometry, arithmetic geometry Algebraic equations, arithmetic equations ? Scheme 3 Algebraic kinematics Arithmetic kinematic Algebraic geometry, arithmetic geometry Algebraic equations, arithmetic equations ? III-2 BASIC EQUATIONS OF THEORETICAL PHYSICS Hereinafter combinatory analysis of the basic ideas taken into account in the construction of an imaginary scheme Descartes-1, as well as ideas and results from the time of Descartes, Leibniz, Newton, obtained in the basis of mathematics and physics, we realized that on the basis of theoretical physics, we could get results included in schemes 2 and 3. In the process of the construction of these schemes we considered the facts that algebra and arithmetic equations became the basis for the theory of thinking. This approach made ​​it possible to understand the nature of G-Y-Sh and Gibbs equations as having the meaning of solutions obtained from the Hamilton equations with the precision inherent to algebraic physics. Based on the analysis of these schemes we could understand that the basis of theoretical physics still remains not quite completed due to the fact that the equations of the theory of Gibbs and G-Y-Sh pending decisions that could serve as a meaningful proof of the main results obtained in the empirical theory of the structure of the substances and for physical chemistry.

5 Molecular sociology Scheme 4 Molecular psychology Molecular biology Theory of the structure of substance Relativity theory Physics- chemical sociology Scheme 5 Physics- chemical psychology Physics- chemical biology Physics chemistry Relativity theory III-3 MAIN EQUATIONS OF EMPIRICAL PHYSICS empirical equations of the theory of the structure of substances and the empirical theory of physical chemistry were obtained by applying a potential of the theory of probability to describe the problems: α) of many ordered moving particles; β) of many randomly moving particles. In the construction of these schemes it was also considered that the main results obtained in the theory the structure of substances and physical chemistry can be used for solving problems of biology, psychology and sociology. Further, on the basis of a joint analysis of the ideas considered in the construction of an imaginary scheme Descartes-1 and the results obtained in the field of empirical physics, where the basis of the theory of thought were taken the results of probability theory, it was realized that in these areas we could get the results taken into account in the construction of schemes 4 and 5. While constructing these schemes we took into account the facts that at that time main

6 III-4 HOW WERE COMPLETED IDEAS AND RESULTS OBTAINED IN THE SPHERE OF EMPIRIC PHYSICS Molecular sociology Scheme 4 Molecular psychology Molecular biology Theory of the structure of substance Relativity theory Physics chemical sociology. Scheme 5 Physics chemical psychology Physics chemical biology Physics chemistry Relativity theory As you know, the revolution in biology started when Watson and Crick began successful use of the main results obtained from the area in the theory of the structure of atoms and molecules in the development of the foundations of the theory of more complex macromolecules such as DNA. It is also well known that the previous results in the field of physical chemistry were used to develop the foundations of physics-chemical biology. But we, while obtaining the results which may be in the content of molecular psychology and physicochemical psychology, as well as molecular sociology and the physical-chemical sociology, based on the assumption that the main results of the conventional theory of the structure of matter and physical chemistry can be extended to develop the foundations of these theories.

7 III-5 HOW WERE COMPLETED IDEAS AND RESULTS RECEIVED FROM THE SPHERE OF THEORETICAL PHYSICS. Scheme 2’ Algebraic kinematics arithmetic kinematics Algebraic geometry arithmetic geometry Algebraic equations, Arithmetic equations Scheme 3’ Algebraic kinematics arithmetic kinematics Algebraic geometry arithmetic geometry Algebraic equations, Arithmetic equations According to the nature of our ideas the basis of theoretical physics remains unfinished basically due to the fact that the equations of the theory of Gibbs and G-Y-Sh still could not get meaningful solutions which could serve as the proof of the results of empirical theory of the structure of substances and the empirical theory of physical Chemistry. In order to fill this gap, we made the following assumption. Taking into account the fact that in the transition from the Hamilton equations in dynamics, the equations of G-Y-Sh and Gibbs used the possibility of multidimensional spaces with dimension 3N + 1, 3N and 6N + 1, 6N we could understand the nature of the basic equations of G-Y-Sh and Gibbs as the meaning of the equations with the solutions obtained from Hamilton equations with precision inherent to algebraic physics. This approach allows us to understand the nature of the last expression in Schemes 2 'and 3' derived from these equations as solutions that make sense for the usual 3-dimensional space and have sense of inherent arithmetic physics.

8 III-6 HOW WE COULD PROVE THAT THE OBTAINED ABOVE RESULTS WERE RECEIVED CORRECTLY. Molecular sociology Molecular psychology Molecular biology Algebraic physics, Arithmetic physics Scheme 6 Algebraic kinematics, Arithmetic kinematics Algebraic geometry, Arithmetic geometry Algebraic equations arithmetic equations Physics chemical sociology Physics chemical psycology Physics chemical biology Algebraic physics arithmetic physics Scheme 7 Algebraic kinematics arithmetic kinematics Algebraic geometry arithmetic geometry Algebraic equations arithmetic equations In our view, the evidence that the ideas that were used to completion of the theoretical and empirical foundations of physics is proved by the following fact. If we combine the results, obtained in the field of theoretical and empirical physics, we could get the results included in the schemes 6 and 7. It is obvious that these results could be accepted as those which Descartes wanted to get, when he created the foundations for science and New time philosophy with the help of his imaginary Project-Scheme 1.

9 POSSIBILITY OF NEW RESULTS FOR THE INTERPRETATION OF THE NATURE OF Navier-Stokes equations and its SOLUTION We are talking about the new results considering the following facts: 1) we could to use the ideas of Descartes imaginary scheme-№1. 2) Then, considering combined ideas taken into account while producing this scheme, and the results obtained on the basis of separate sections of Sciences, we realized that we are coming to the results considered with the help of the 2 and 3 schemes in the field of theoretical physics and we are getting the results considered with the schemes 4 and 5 in empirical physics. we also have in mind the fact that we after the mergering these schemes we obtained the results included in schemes 6 and 7. 3) We have in mind the fact that the analysis of these new results we realized that since Descartes, Leibniz, Newton's most important results are received in the paths where algebraic equations and arithmetic equation were taken as the basis for the theory of thinking. 4) we also remember the fact that in this new way we could interpret the nature of the basic equations of mathematical analysis as the equations obtained by applying opportunities of algebraic equations and arithmetic equations to solve problems in geometry and kinematics with the accuracy inherent in algebra and arithmetic. 5) Once we have in mind the fact that in this new way was able to interpret the nature of the fundamental equations of theoretical physics, (G-Y- Sh and Gibbs) as the equations that make sense solutions obtained for many particles and orderly drivers for many randomly moving particles. 6) Once we have in mind the fact that this new path where all the most important results of direct relevance to the way of truth into account by the circuit 6 and 7, there was no place for ideas and ur. Math Physics and security... 7) Thus, we believe that based on these new results, where the main place to put forward ideas for Theoretical Physics able to prove that the idea of Tao, that means ur mathematics to solve. H-C is not possible is partly correct.

10 Scheme 2’ Algebraic kinematics Arithmetic kinematics Algebraic geometry arithmetic geometry Algebraic equations, arithmetic equations Scheme 8 Algebraic kinematics Arithmetic kinematics Algebraic geometry arithmetic geometry Algebraic equations, arithmetic equations (3) (1) (2) (4) Comparative analysis of the results included in these schemes leads to the following conclusions: 1) Nature of equations (1) and (2) now can be understood as having the meaning of the equation obtained from (3) with the accuracy of the algebraic solutions of physics at the assumption that the transition from (3) to (1) (2) used the opportunity to infinite-dimensional spaces 2) On the basis of the new results now its nature (4) could be understood as: solution of the equations (3) obtained with precision of arithmetic physics and have meaning for the 3-dimensional space. 3) Based on the new results we understand why for the equations of N-S it is possible to obtain a decision explaining the laminar fluidity, but you can not get a solution explaining the turbulent fluidity. It turns out that the reason for all this was that the wrong assumption of the scientists treating these equations as universal equations without understanding its specific solution derived from Newton's equations. 5) Finally, we note, based on new results the nature of the turbulent fluidity could be explained on the basis of the possibility of the basic equations Gibbs statomechanics as the equations which have the sense As the solution obtained from eq. Hamilton equations for many chaotically moving particles


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