Metrical dynamics (video)

S.V. Siparov. Metric Interpretation of Field Theories

Report on the International Meeting ‘Physical Interpretations of Relativity Theory – 2015’ (PIRT-2015) held by Bauman Moscow State Technical University (Russia), University of Liverpool (Great Britain) and S.C.&T., University of Sunderland (Great Britain) in Moscow, Russia, 29 June – 2 July 2015.

The report discusses the geometric approach, based on which a consistent description of the motion of a physical system can be built. It is shown that the concept of force fields that determine the dynamics of a system is equivalent to the use of appropriate metrics of an anisotropic space, which is chosen to simulate the physical world and the phenomena occurring in it. The examples from hydrodynamics, electrodynamics, quantum mechanics and the theory of gravitation are regarded. This approach allows us to get rid of a number of paradoxes and can be used for further development of the theory.

Video of Report at the Conference FERT-2015 July 4 – 12, Murom, Russia.

Report consists of five parts. The report discusses the geometric approach, based on which a consistent description of the motion of a physical system can be built. It is shown that the concept of force fields that determine the dynamics of a system is equivalent to the use of appropriate metrics of an anisotropic space, which is chosen to simulate the physical world and the phenomena occurring in it. The examples from hydrodynamics, electrodynamics, quantum mechanics and the theory of gravitation are regarded. This approach allows us to get rid of a number of paradoxes and can be used for further development of the theory.

S.V. Siparov. Metrical dynamics. Part 1. Is it possible to avoid the revision of classical foundations?

In Part 1 the mathematical postulates on which the Newton’s understanding of classical mechanics (physics) is based are discussed. It turns out that they constitute substantial idealization, and there is a need to monitor their compliance to the real world. In this context, the Clifford’s ideas on the impossibility to distinguish between the observed physical properties and the geometrical properties of the experimental space like curvature are more justified.

 

S.V. Siparov. Metrical dynamics. Part 2. Universal equation of motion.

In Part 2 a number of new definitions and paradigms, specific to the proposed approach, are introduced. The result is that by simulating the experimental data by a vector field, one can interpret it not as a characteristic of force interaction, but as a geometrical characteristics of space. This allows one to write a universal equation of motion.

 

S.V. Siparov. Metrical dynamics. Part 3. Physical and metrical fields.

In Part 3 for a number of physical applications, such as electrodynamics and hydrodynamics, the introduced equations are natural and up to notation represent only a new language to describe phenomena.

 

S.V. Siparov. Metrical dynamics. Part 4. Quanta and atom.

In Part 4 in quantum mechanics, the new language is used to avoid the known paradoxes, such as wave-particle duality, or reduction of the wave function, by the consistent choice of a metric. This leads to new equations preserving the physical sense.

 

S.V. Siparov. Metrical dynamics. Part 5. Gravitation (AGD).

These geometric ideas have previously found application in anisotropic geometrodynamics (AGD) – theory of gravity, which is a generalization of GRT. AGD made it possible to avoid a number of problems in the use of GRT for the interpretation of observations, as well as to abandon such notion as “dark matter”.