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arXiv 1002.1078physics.gen-ph
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亚原子粒子质谱

The Subatomic Particle Mass Spectrum

R. L. Oldershaw

摘要:

在100 MeV至7,000 MeV范围内的亚原子粒子质谱的代表性成员被追溯到使用广义相对论的克尔解的第一近似。粒子的质量似乎形成了一组受限的量子化值,即基于克尔的角动量-质量关系:m =(sqrt n)(M),其中n的值是一组离散整数,M是修正的普朗克质量。一个分形范式体现全球离散自相似性是至关重要的一个适当的确定M,这与传统的普朗克质量相差约19个数量级。这个非常简单和通用的质量方程追溯了一组27个著名粒子的质量,平均相对误差为1.6%。一个更严格的质量公式,包括量子力学的总自旋角动量规则,粒子的正则自旋值,和克尔角动量-质量关系的无量纲转动参数,能够在900 MeV至1700 MeV范围内的8个主要重子的质量在99.7%的水平,平均。

英文摘要:

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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