Modified Planck units

TL;DR

This paper proposes a modified set of Planck units based on the idea of using fundamental constants as limits rather than fixed values, introducing a maximum power limit to enhance interpretative potential.

Contribution

It introduces a new approach to defining Planck units using limit values of constants, including a maximum power, while preserving the original numerical values.

Findings

Maintains original Planck unit values

Provides new interpretative frameworks

Suggests potential for novel theoretical insights

Abstract

Planck units are natural physical scales of mass, length and time, built with the help of the fundamental constants $\hbar, c, G$. The functional role of the constants used for the construction of Planck units is different. If the first two of them represent the limits of the action and the speed of light and underlie quantum mechanics and special relativity, the Newton's constant $G$ "only" fixes the absolute value of the gravitational forces. It seems natural to make a set of fundamental constants more consistent and more effective if used to build Planck units only limit values. To this end, in addition to the limit values $\hbar $ and $c$ we introduce an additional limit value - a maximum power in nature. On the basis of these values, a modification of the Planck unit system is proposed. The proposed modification leaves unchanged the numerical values of Planck units, however, opens up exciting new possibilities for interpreting the known results and for obtaining new ones.