2014
DOI: 10.2139/ssrn.2380218
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Fundamental Nature of the Fine-Structure Constant

Abstract: Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler's view of nature and Pythagorean geometry. The Laplace limit of Kepler's equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger's research enable a calculation of the electron magnetic moment anomaly. Considerat… Show more

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Cited by 11 publications
(30 citation statements)
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“…The fine-structure constant was introduced by Arnold Sommerfeld with the addition of elliptic orbits to Bohr's atomic model [13]. The fine-structure constant determines the strength of the electromagnetic interaction and being related to quintessence it is involved in all aetheric phenomena.…”
Section: Mathematics Of the Fine-structure Constantmentioning
confidence: 99%
See 1 more Smart Citation
“…The fine-structure constant was introduced by Arnold Sommerfeld with the addition of elliptic orbits to Bohr's atomic model [13]. The fine-structure constant determines the strength of the electromagnetic interaction and being related to quintessence it is involved in all aetheric phenomena.…”
Section: Mathematics Of the Fine-structure Constantmentioning
confidence: 99%
“…Also, 2 7/12 3/2 ARK. Another form of calculation involves the prime constant [13], described as a binary expansion corresponding to an indicator function for the set of prime numbers. The inverse fine-structure constant:…”
Section: Mathematics Of the Fine-structure Constantmentioning
confidence: 99%
“…The sinh √ φ ζ (2). [32,33]. The polygon circumscribing constant K is the reciprocal of the Kepler-Bouwkamp constant [40]- [42], related to "Pauli's triangle" [22], with sides approximately proportional to 1, φ , φ √ 5 with the golden ratio φ = (1 + √ 5)/2 with √ 5 = 2 cosh(ln φ ).…”
Section: The Golden Ratio and Ne-structure Constantmentioning
confidence: 99%
“…The polygon circumscribing constant is K 2 tan(3π/7) φ 2 /2A, see Eq. (7) discussion and 2A cos √ φ 2/7π [7,32,33]. A is also the reciprocal harmonic of Newton's gravitational constant.…”
Section: Introductionmentioning
confidence: 99%
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