The Power of α

Fine-Structure Constant from Golden Ratio Geometry

“…Again, K is the inverse Kepler-Bouwkamp constant [40]- [42]. Introduced by Arnold Sommerfeld, the fine-structure constant determines the strength of the electromagnetic interaction [44]- [49]. John S. Rigden states, "The fine-structure constant derives its name from its origin.…”

Fundamental Nature of the Fine-Structure Constant

“…Again approximating, κ 14/φ and κ −1 ρ 2 λ, where λ is the Laplace limit of Kepler's equation, defined in Eq. (15).…”

“…The fine-structure constant, alpha, has a variety of physical interpretations from which various determinations have been made; atom interferometry and Bloch oscillations, the neutron Compton wavelength measurement, AC Josephson effect, quantum Hall effect in condensed matter physics [11], hydrogen and muonium hyperfine structure, precision measurements of helium fine-structure, absorption of light in graphene [12], also the topological phenomena in condensed matter physics [13], the relative optical transparency of a plasmonic system [14], elementary particle lifetimes [15] and the anomalous magnetic moment of the electron in quantum electrodynamics [16]. Slightly different values of the fine-structure constant are found from different experimental measurements [17] and finally there is also the question of its variation from the subatomic to the cosmological scale [18].…”

Models of Extended Electron with a Point Charge

“…(ii) Relativistic Spinning Sphere Model (RSS) A semi-classical structure of the 'enigmatic electron' is portrayed by relativistic spinning sphere model [8,[39][40] of the electron. The spectroscopic properties of the electron at the first order of the fine structure constant, α is theorised in RSS model.…”