精细结构常数、反常磁矩、相对性因子和划分玻尔半径的黄金分割比
Fine-structure Constant, Anomalous Magnetic Moment, Relativity Factor and the Golden Ratio that Divides the Bohr Radius
摘要：
索末菲在考虑氢原子理论中的相对论效应时，将精细结构常数引入了物理学。从那时起，它就困扰着许多科学家，如爱丁顿、狄拉克、费曼和其他人。在这里，神秘的精细结构常数，α =（康普顿波长/德布罗意波长）= 1/137.036 = 2.627/360是基于它接近于2.618/360 = 1/137.508的发现来解释的，其中氢的康普顿波长是等于圆周上的弧长的距离（由德布罗意波长给出）的圆与玻尔半径和2.618是黄金分割比的平方，这是最近被证明分为两个黄金分割的玻尔半径在电中性点。从电子（e）和质子（p）g因子的数据，发现（137.508 - 137.036）= 0.472 = [g（p）- g（e）]/[g（p）+ g（e）]（= 2/黄金比例的立方），并且（2.627 - 2.618）/360 =（对应于e和p的固有半径的康普顿波长的小部分/德布罗意波长）= 0.009/360 =（1-γ）/γ，索末菲氢原子理论中的近场推进因子，其中γ是相对性因子。
英文摘要：
Sommerfeld introduced the fine-structure constant into physics, while he was taking into account the relativistic effects in the theory of the hydrogen atom. Ever since, it has puzzled many scientists like Eddington, Dirac, Feynman and others. Here the mysterious fine-structure constant, alpha = (Compton wavelength/de Broglie wavelength) = 1/137.036 = 2.627/360 is interpreted based on the finding that it is close to 2.618/360 = 1/137.508, where the Compton wavelength for hydrogen is a distance equivalent to an arc length on the circumference (given by the de Broglie wavelength) of a circle with the Bohr radius and 2.618 is the square of the Golden ratio, which was recently shown to divide the Bohr radius into two Golden sections at the point of electrical neutrality. From the data for the electron (e) and proton (p) g-factors, it is found that (137.508 - 137.036)= 0.472 = [g(p) - g(e)]/[g(p) + g(e)] (= 2/cube of the Golden ratio), and that (2.627 - 2.618)/360 = (small part of the Compton wavelength corresponding to the intrinsic radii of e and p/de Broglie wavelength) = 0.009/360 = (1- gamma)/gamma, the factor for the advance of perihilion in Sommerfeld's theory of the hydrogen atom, where gamma is the relativity factor.
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