Extended Planck Scale

TL;DR

This paper extends the traditional Planck scale by incorporating charge and spin effects from Kerr-Newman black hole solutions, revealing potential variations in fundamental constants and connections to high-energy physics phenomena.

Contribution

It introduces an extended Planck scale that accounts for charge and spin, linking black hole physics with quantum properties and fundamental constants.

Findings

Spectra depend on Kerr-Newman radius and Compton wavelength.

The extended Planck mass may vary over time more than the traditional one.

Possible connection between the fine structure constant and high-energy processes.

Abstract

Traditional derivations of the Planck mass ignore the role of charge and spin in general relativity. From the Kerr-Newman null surface and horizon radii, quantized charge and spin dependence are introduced in an extended Planck scale of mass. Spectra emerge with selection rules dependent upon the choice of Kerr-Newman radius to link with the Compton wavelength. The appearance of the fine structure constant suggests the possibility of a variation in time of the extended Planck mass, which may be much larger than the variation in the traditional one. There is a suggestion of a connection with the $\alpha$ value governing high-energy radiation in Z-boson production and decay.