Oscillation processes as a tool of physics cognition

Abstract

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.