Universal Constants as Manifestations of Relativity

TL;DR

This paper explores how universal constants like the speed of light, Planck's constant, and Boltzmann's constant can be understood as manifestations of relativity principles, offering new interpretations of these fundamental quantities.

Contribution

It proposes a novel perspective that interprets several universal constants as arising from relativity, extending the concept beyond the traditional constants c and ħ.

Findings

c and ħ are manifestations of relativity principles

Boltzmann's constant may also be interpreted relativistically

Comments on relativistic interpretation of G and spacetime curvature

Abstract

We study the possible interpretation of the "universal constants" by the classification of J.~M.~L\'evy-Leblond. $\hbar$ and $c$ are the most common example of constants of this type. Using Fock's principle of the relativity w.r.t. observation means, we show that both $c$ and $\hbar$ can be viewed as manifestations of certain relativity. We also show that there is a possibility to interpret the Boltzmann's constant in a similar way, and make some comments about the relativistic interpretation of the constant spacetime curvature and gravitational constant $G$.