Abstract

A century ago, the energy quantization hypothesis required to derive Planck's formula has been proposed as the foundations of the quantum theory. So far, this quantization hypothesis still lacks complete theoretical proof and interpretation, even no answer for why the quantization occurs. Here Planck's quantization hypothesis has been proved completely in pure theoretical methods, and accompanied by a full interpretation of the related physical laws. A new physical and mathematical expression of Planck's law has been achieved. From now on, the energy quantum presumption is no longer the premise hypothesis of quantum theory, but the credible conclusion.