Submitted:
27 March 2022
Posted:
29 March 2022
Read the latest preprint version here
Abstract
In this paper, we propose the expansion of the Planck distribution functions which is derived from the Boltzmann principle. Furthermore, we examine to expand Planck's law using new distribution functions. Moreover, using the ideas applied to the expansion of the Planck distribution function, we show that the derivation of Von Koch's inequality without using the Riemann Hypothesis and the negative of the abc conjecture. Besides, we describe some issues for the future.
Keywords:
Entropy
; Boltzmann principle
; Planck’s law
; Dynamical system
; Von Koch’s inequality
; Riemann Hypothesis
; abc conjecture
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