finsler geometry, hypercomplex numbers and physics
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METRICAL DYNAMICS
2015jcv | S.V. Siparov  // Civil Aviation State University, Saint-Petersburg, Russia; NRU of Information Technologies, Mechanics and Optics, Saint-Petersburg, Russia, sergey.siparov@gmail.com

The suggested approach makes it possible to produce a consistent description of motions of a physical system. It is shown that the concept of force fields defining the systemsí dynamics is equivalent to the choice of the corresponding metric of an anisotropic space, which is used for the modeling of physical reality and the processes that take place. The examples from hydrodynamics, electrodynamics, quantum mechanics and theory of gravitation are discussed. This approach makes it possible to get rid of some known paradoxes; it can be also used for the further development of the theory.


English: Russian:
03_hngp22_siparov.pdf, 189,676 Kb, PDF

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