In our private lab we address a broad scope of basic research in physics, mathematics, related and interdisciplinary sciences, economics and history. In particular,

In mathematics:

We have developed a unique basis to study and calculate dynamic systems, both mechanical and electrical. We have solved an infinite system of differential equations for dynamic systems, revealed and described a new, fourth vibration regime with the ‘negative measure of inertia’. The experimentally checked technique developed on this basis offers calculating linear and nonlinear, homogeneous, heterogeneous and combined (with both concentrated and distributed parameters) dynamic systems having any number of elements, with the fixed ends and not, with the force applied to any element of the system and under any angle, with account of resistance/impedance of constraints and not; bended, closed, spider-like systems and systems having resonance subsystems, and we gave transition conditions from lumped to distributed systems.

We have shown why at the points of ridge bends and nodes, the earthquakes quench vibrations and cause utmost destruction.

We have developed the dynamic electromechanical analogy (DEMA), calculated with it the mismatched electric ladder filters and yielded the full experimental correspondence.

We have determined the regularities of central many-body collision.

We have developed the basis of vector algebra for dynamic fields.

We have proven that the conditions of analyticity for functions of complex variable are broader than the Caushy – Riemann conditions.

We have proven that radiation cannot be described by strictly conformal mapping but has to be described by the tool of non-conformal dynamic mapping, and we developed this tool.

We have solved several problems of nonlinear vibrations and revealed that the Green function describes these solutions incorrectly.

In physics:

We have improved the Maxwell equations for dynamic fields.

We have substantiated theoretically and generated experimentally the longitudinal electromagnetic wave in a free space (our portable devices generated the directed radiation with the frequencies 30 kHz and 800 MHz).

We have substantiated theoretically and generated experimentally the transverse acoustic wave in gas (medium without shear deformation).

We have experimentally refined the conventional understanding of electromagnetic inductance and shoved that in dynamic fields, the lines of force of magnetic and electric fields are not closed.

We have proven that the transverse Doppler effect exists in classical formalism, determined its features and yielded the general formula for the Doppler effect when cross motion of the source and receiver.

We have overcome the Bohr postulate of stationary orbits of electron.

We have improved the understanding of interference of electrons and overcame the wave-particle duality.

We have discovered the causes of basic discrepancies of Einstein’s Relativity.

We have discovered the causes forming the galaxy arms and developed the paradigm of formation, balance and evolution for stars and planets, as well as chemistry of planet formation.

We have penetrated into the difficulties and masking effects in the experiments revealing ethereal wind and found the way to overcome. We have revealed the demerits of existing conceptions of vortical entities of matter and of solid-crystalline ether that disable them to properly describe the observed processes and phenomena.

We have revealed the basic mistakes in the statement of problem of black hole, of Schwarzschild metric and some other.

We have improved the idea of entropy and discovered that the energy balance in the universe is determined by the laws of global concentration of the energy and local laws of dissipation.

We have analysed the features of physical time that disable it to transform relativistically.

We have revealed the features of propagation of light radiated by a moving source that cause forming of two beams. The real beam propagates along the line of radiation and the effective beam is formed of the assemblage of real beams and deflects from the radiation line in proportion with the velocity of source. This breaks the laws of reflection/diffraction in the moving systems for fictitious beams, which researchers observe.

In technologies:

We have the technique for discrete wear-proof hardening of surfaces of parts at the nano-level. We have implemented it in the instrument that underwent the comparative industrial tests and 3-4 times out-performed the best today technologies.

We have a conception of a powerful windmill with a vertical rotor; in its energetic characteristics and compactness it can compete with the hydro- and thermal power stations.

In economics:

We have discovered the causes of economical crisis and defined the conditions, how to overcome; it is a sufficient step in the Henry Ford economical model. We have revealed the basic regularities of social and economical processes and developed the conception of balanced self-regulating economic system with the innovative vector of development.

In history:

We have partially filled in the gap from the cudgel and stone axe to the tamples, pyramids, dams and high-level agricultural practices. We have shown the laws, knowledge, religion and culture of pre-dynastic society. We have described the way of ancient civilisations in Africa, Americas, Eurasia and the way of Russia from the ancient to today society from the point of state organisation and contribution of leaders.

In more details, you can read of it here:

by volumes

http://selftrans.narod.ru/cover/cover.html

by subjects

http://selftrans.narod.ru/SELFlab/publications/publications2011.htm