The Subatomic Particle Mass Spectrum

Details The Subatomic Particle Mass Spectrum The Subatomic Particle Mass Spectrum

2010-02-04

arxiv.org/abs/1002.1078v2

Physics

General Physics

14 pages, 2 tables, substantial revisions, more rigorous mass formula, 8 major baryon masses retrodicted at the 99.7% level

Scientific paper

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.

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