The New Planck Scale: Quantized Spin and Charge Coupled to Gravity

TL;DR

This paper proposes an extended Planck scale incorporating quantized spin and charge, using Kerr-Newman metrics, revealing new relationships with fundamental constants and potential implications for high-energy physics.

Contribution

It introduces a novel extended Planck scale that includes spin and charge, linking gravitational and quantum properties through Kerr-Newman metrics.

Findings

Derived extended Planck charge and spin values.

Connected the extended Planck scale to the fine structure constant.

Suggested implications for high-energy particle processes.

Abstract

In the standard approach to defining a Planck scale where gravity is brought into the quantum domain, the Schwarzschild gravitational radius is set equal to the Compton wavelength. However, ignored thereby are the charge and spin, the fundamental quantized aspects of matter. The gravitational and null-surface radii of the Kerr-Newman metric are used to introduce spin and charge into a new extended Planck scale. The fine structure constant appears in the extended Planck mass and the recent discovery of the $\alpha$ variation with the evolution of the universe adds further significance. An extended Planck charge and Planck spin are derived. There is an intriguing suggestion of a connection with the $\alpha$ value governing high-energy radiation in Z-boson production and decay.