Constraints on the Lepton Charge, Spin and Mass from Quasi-Local Energy

TL;DR

This paper uses the Brown-York quasi-local energy and Kerr-Newman spacetime modeling to derive constraints on lepton charge, spin, and mass from fundamental constants, revealing insights into their fundamental nature.

Contribution

It introduces a novel approach combining quasi-local energy with Kerr-Newman metrics to constrain lepton properties from the Planck scale.

Findings

Derived bounds on lepton charge, spin, and mass.

Revealed a large energy gap between TeV scale and Planck scale.

Highlighted the non-trivial behavior of the quasi-local potential.

Abstract

The masses of the elementary particles as well as their charges and spins belong to the fundamental physical constants. Presently, no fundamental theory describing them is available, so their values remain mysterious. In this work we offer an approach based on the Brown-York quasi-local energy which includes the self-energy of an object. In order to compute this energy we model the spacetime of the renormalized electron (and other leptons) by the Kerr-Newman metric. Placing conditions on the associated energies at different radii we arrive at various constraints on the mass, charge and spin which are derived from the Planck scale. The large gap between the TeV-scale and the Planck energy is due to the highly non-trivial behavior of the used quasi-local potential.