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11
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vol 61 / NOVEMBER, 2018
Article

DOI 10.17586/0021-3454-2018-61-6-477-484

UDC 519.71

VOLUME RESONATORS OF SCALAR FIELDS OF DYNAMIC SYSTEMS

V. A. Podchukaev
Saratov State Academy of Law; Institute of Precision Mechanics and Control RAS; Professor


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Abstract. The classical treatment of motion of a point (the center of masses – translation motion) and the motion around a point (around the center of mass - the spinor motion) is supplemented by the simultaneous torsion of an equilateral hyperbola around two orthogonal axes, called the two-torsion thin field. The spaces of possible states of binary two-torsion fields in the scalar field generated by the thin field, make up three spatial hollow resonators described by pseudo-spheres inscribed one into the other in Lobachevsky geometry. The introduced concepts are illustrated by the example of a pair of the biospherethe noosphere of V. I. Vernadsky, interpreted by a kind of "matrioshka" of a dipole with alternating pseudospherical resonators and spherical protective domes.
Keywords: scalar field, torsion field, magnet field dipole, torsion surface, volume resonator, quantum resonator, biosphere, noosphere

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