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.

Dark matter and dark energy phenomenon which has been totally incomprehensible until very recently is explained by existence, besides our Universe, other invisible parallel universes in the hidden Multiverse. Such explanation of dark matter and dark energy phenomenon in astrophysics has become possible only after proving of the principle of physical reality of imaginary numbers discovered in mathematics 500 years ago. And the principle of physical reality of imaginary numbers has made the postulate of light speed non-exceedance in the special theory of relativity unnecessary. Therefore, all relativistic formulas in this theory should be adjusted. As follows from the adjusted relativistic formulas, we live in Multiverse rather than in Monoverse. All parallel universes of the Multiverse are mutually invisible, therefore Multiverse is called hidden. WMAP and Planck data analysis has showed that the hidden Multiverse has a quaternion structure and contains 20 -22 parallel universes, of which 5 -6 are adjacent to our universe, and others are further. And these parallel universes are linked by unidirectional and bidirectional portals. Some portals link the hidden Multiverse with other Multiverses, which form a dark space. The multiverses of dark space together with the hidden Multiverse form Hyperverse.

Theoretical and experimental evidence of physical reality of imaginary numbers using interpretation of Ohm's law for electrical AC circuits proposed in 1897 by Steinmetz was presented. Other pieces of evidence are mentioned as well. The use of the general scientific principle of the physical reality of imaginary numbers allowed to prove that the relativistic formulas in the existing version of the special relativity theory are wrong, as well as to deny the principle of non-exceeding the speed of light and the hypothesis of monoverse. Corrected relativistic formulas are given and on their basis a theory of hidden Multiverse is proposed, parallel universes of which are mutually invisible. Using data obtained by the spacecrafts WMAP and Planck, it is proved that the hidden Multiverse has a quaternion structure, exists in the six-dimensional space, and forms Hyperverse together with other Multiverses. It is shown that the parallel universes of the hidden Multiverse are continuously drifting in multidimensional space, touch each other in many places and are even partially immersed in each other, forming portals. It is alleged that the search for extraterrestrial life in deep space is devoid of meaning, as you can even walk to the adjacent parallel universes through portals, which are anomalous zones on Earth. Moreover, extraterrestrial super civilizations have already found us long time ago and are located on Earth. The attempts to contact these super civilizations are meaningless as well, because such contacts are possible only at their wish. Consequently, to make the contacts possible, we need to convince super civilizations that human civilization is of interest to them and that it has a sufficiently high intelligence. It is shown how the human super intelligence over can be realized.

It is shown that Ohm's law is not only the main electrical engineering law, but also a generally scientific worldview law of the extreme significance, as in the interpretation of Steinmetz it proves physical reality of imaginary numbers theoretically and experimentally in the most indisputable way. Thus, it refutes the principle of light speed non-exceedance, which is fundamental in the special theory of relativity. Moreover, unlike the MINOS and OPERA experiments recognized by physical community as not enough reliable, which were conducted for the same purpose, alternative experiments were performed during the research of oscillation processes in linear electric circuits. Therefore, they are absolutely reliable and conclusive as can be repeated and verified in any electrical engineering laboratory. The principle of physical reality of imaginary numbers proven by the electrical engineering experiments is generally scientific, since mathematics is the universal language of the exact sciences. Therefore, all scientific theories and hypotheses in quantum mechanics, relativity theory, geophysics, cosmology, optics, radio electronics and other sciences should be adjusted accordingly, given the principle of physical reality of imaginary numbers. There is an example of how this can be done in the special theory of relativity and astrophysics. This approach allowed explanation of dark matter and dark energy, which correspond to the invisible parallel universes existing in extra dimensions.

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