Memoirs of the Scientific Sections of the Romanian Academy (Nov 2023)
The Physical Basis of Procopiu’s Quantization
Abstract
The procedures of quantization are the same in the case of matter as in the case of light. They involve specific invariants to the scale change, and specific statistics describing that scale change in physics. A previous part of this work [35] explores the general mathematics of the physics involved in the problem of quantization. The present part deepens the similitude between the procedures of quantization in light and matter, by proving the identity of the resonators serving for quantization from a thermodynamical point of view. They are dipoles: electric in the case of light – Planck’s resonators, representing the matter – and magnetic in the case of matter – Procopiu’s resonators, representing the light. Mathematical details are exposed, and some physical consequences in observance thereof are explored.