Transitional Processes as a Tool for Revealing Universe’s Hidden Dimensions

Contemporary algebra is self-contradictory. Indeed, it offers the algorithms of solving algebraic equations using either the real or the complex numbers, which are, however, mutually exclusive. For instance, even the simplest quadratic equation c bx ax y 2    in the case of a negative discriminant ac b 4 2  has no solution on the set of real numbers, but does have a solution on the set of complex numbers. Nevertheless, there can naturally be only one truth. So, which of the two solutions is true? The answer to this question can be given by the physics of transitional processes in oscillating systems. We present the solution of the problem, which eventually leads to the discovery of hidden extra dimensions in the physical macrocosm.