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Based on the hydrodynamic-wave calibration of potentials in Maxwell’s equations and their analogues for the gravitational field, nonlinear equations with respect to the vector potentials of these fields in the background medium of a complex Euclidean space are obtained. The nonlinear contact dynamics of corpuscular-vortex-wave forms of fields and violation of antisymmetry, which leads to the formation of matter and generation of electromagnetic, gravitational, hydrodynamic , acoustic waves separately in real and imaginary half-spaces of complex Euclidean space, are considered. Analytical expressions for the spectra of heaton radiation in a complex Euclidean space are obtained. It is shown that these expressions describe, in particular, the spectrum of solar radiation, collider resonance spectra, the spectrum of microwave background radiation generated by the Oort Cloud, and other spectra in technical, space and geodynamic systems. The fundamental technical failures in the field of controlled thermonuclear fusion and the known catastrophes in nuclear energy and hydropower related to the disregard of corpuscular-wave dualism in macrosystems and the limitations of a purely real part of the complex Euclidean space are analyzed.

vìsnik hmelʹnicʹkogo nacìonalʹnogo unìversitetu. tehnìčnì nauki

NONLINEAR CONTACT DYNAMICS AND ANTI-SYMMETRY OF CORPUSCULAR-VORTEX-WAVE FORMS OF ELECTROMAGNETIC AND GRAVITATIONAL FIELDS IN THE BACKGROUND MEDIUM OF A COMPLEX EUCLIDEAN SPACE. SPECTRA OF HEATON RADIATION