English

Hadrons As Kerr-Newman Black Holes

Astrophysics 2010-04-29 v4

Abstract

The scale invariance of the source-free Einstein field equations suggests that one might be able to model hadrons as "strong gravity" black holes, if one uses an appropriate rescaling of units or a revised gravitational coupling factor. The inner consistency of this hypothesis is tested by retrodicting a close approximation to the mass of the proton from an equation that relates the angular momentum and mass of a Kerr black hole. More accurate mass and radius values for the proton are then retrodicted using the geometrodynamics form of the full Kerr-Newman solution of the Einstein-Maxwell equations. The radius of an alpha particle is calculated as an additional retrodictive test. In a third retrodictive test of the "strong gravity" hypothesis, the subatomic particle mass spectrum in the 100 MeV to 7,000 MeV range is 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 the Kerr solution: n^1/2 M, where values of n are a set of discrete integers and M is the revised Planck mass. The accuracy of the 27 retrodicted masses averages 98.4%. Finally, the new atomic scale gravitational coupling constant suggests a radical revision of the assumptions governing the Planck scale, and leads to a natural explanation for the fine structure constant.

Keywords

Cite

@article{arxiv.astro-ph/0701006,
  title  = {Hadrons As Kerr-Newman Black Holes},
  author = {R. L. Oldershaw},
  journal= {arXiv preprint arXiv:astro-ph/0701006},
  year   = {2010}
}

Comments

20 pages, 1 table, revised and expanded, submitted to the Journal of Cosmology, comments welcome