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It has been theoretically and experimentally proven that complex frequencies, immitance functions of complex frequencies, as well as resonance at complex frequencies are physically real. It follows from the above that the physical macrocosm has extra hidden dimensions. The information expands the fundamental knowledge on the structure of the Universe and may lead to reconsideration of certain basic concepts in mathematical, physical and engineering sciences.

Based on research of resonant and transitional processes in electric LC-, RL-, RC-, and LCRcircuits, the article offers theoretical and experimental proof of physical reality of complex frequency and other concrete complex numbers which are a function of complex frequency. Analysis of resonant processes in electric circuits has shown inconsistency in their conventional interpretation at real frequencies. On the contrary, interpretation of resonance at complex frequencies allowed explaining all the inconsistencies of its interpretation at real frequencies. We provide the description of experiments confirming physical reality of resonance at complex frequencies. As for transitional processes in electric circuits, their analysis by means of differential equations requires the solution of the respective characteristic algebraic equations. In this respect we demonstrate that the solution of algebraic equations with the use of real numbers rules out the existence of oscillation transitional process, and, therefore, does not conform to physical reality.

The inevitability of economic crises is objectively determined by ignorance of the mechanics of the “black box” of the economy and the inappropriate market policy. The article shows that the fundamental market process “goods-money-goods” is described with a second-degree differential equation, and, therefore, is potentially an oscillation process. However, in order to implement the economic oscillation processes of the commodity-money circulations, certain conditions have to be fulfilled, which are usually not fulfilled on their own. In order to comply with these conditions, the participants of the commodities market should be organized in a certain way. Cognition and use of the described oscillation processes in the economy allows making its development controlled, predictable and, eventually, crisis-proof. The article presents the main principles of the new science – the theory of oscillation economic systems, which allows developing new highly efficient economic structures. This new science even allows describing and ensures implementation of new economic processes, for instance, resonant processes.

It is shown, that the results of OPERA experiment become fully explainable, if to take into account physical reality of imaginaries and corresponding to them interpretation of the universe's hidden dimensions. Also it is explained, why from an experiment OPERA ensues, that neutrinos possess a zero rest mass.