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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