The Subatomic Particle Mass Spectrum

TL;DR

This paper proposes a simple Kerr-based mass relation, incorporating a fractal self-similarity paradigm, to accurately retrodict the masses of subatomic particles within a specific energy range, achieving high precision.

Contribution

It introduces a novel Kerr solution-based mass formula with a fractal paradigm, accurately retrodicting particle masses and extending the Planck mass concept by 19 orders of magnitude.

Findings

Retrodicts 27 particle masses with 1.6% average error

Accurately predicts 8 baryon masses at 99.7% confidence

Uses a fractal paradigm to determine a revised Planck mass

Abstract

Representative members of the subatomic particle mass spectrum in the 100 MeV to 7,000 MeV range are retrodicted to a first approximation using the Kerr solution of General Relativity. The particle masses appear to form a restricted set of quantized values of a Kerr-based angular momentum-mass relation: m = (sqrt n)(M), where values of n are a set of discrete integers and M is a revised Planck mass. A fractal paradigm manifesting global discrete self-similarity is critical to a proper determination of M, which differs from the conventional Planck mass by roughly 19 orders of magnitude. This exceedingly simple and generic mass equation retrodicts the masses of a representative set of 27 well-known particles with an average relative error of 1.6%. A more rigorous mass formula, which includes the total spin angular momentum rule of Quantum Mechanics, the canonical spin values of the particles, and the dimensionless rotational parameter of the Kerr angular momentum-mass relation, is able to retrodict the masses of the 8 dominant baryons in the 900 MeV to 1700 MeV range at the 99.7% level, on average.