The article explains that the phenomenon of dark matter and dark energy is caused by the existence of the invisible from our universe other parallel universes of the hidden Multiverse. The nature of their invisibility is explained. It is showed where different types of antimatter are located in the hidden Multiverse. Physical and mathematical foundation of the presented hypothesis of hidden Multiverse is the principle of the physical reality of imaginary numbers proven theoretically and experimentally, which denied the principle of non-exceeding the speed of light in the current version of the special relativity theory. Corrected relativistic formula of special relativity theory is presented taking into account the principle of the physical reality of imaginary numbers. Their interpretation for hyperlight speed range is given. The nature of the additional dimensions of the hidden Multiverse is explained. As a result of the data processing obtained by WMAP and Planck spacecrafts, it is shown that our hidden Multiverse has a quaternion structure, and includes twenty ? twenty-two parallel universes, five ? six parallel universes of which are adjacent to our universe and form dark matter, and the other parallel universes are farther from us and form dark energy. At the same time, our hidden Multiverse is part of the Supermultiverse containing other Multiverses as well which are inaccessible to our observations, not only by electromagnetic but also by gravitational manifestations. It is shown that the parallel universes of the hidden Multiverse and multiverse Supermultiverse are interconnected by bi-directional and unidirectional portals, which are anomalous zones on the Earth.

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