Sommerfeld’s fundamental fine-structure constant α once more gives reason to be amazed. This comment is a Chapter of a publication in preparation dealing mainly with golden ratio signature behind Preston Guynn’s famous matter/space approach. As a result we present a relation of α to the galactic velocity , mediated by the circle constant π, which points to an omnipresent importance of this constant and its intrinsic reciprocity pecularity: α ≈ π2|βg| respectively . The designation fine-structure constant should be replaced simply by Sommerfeld’s constant. We present golden mean-based approximations for α as well as for electron’s charge and mass and connect the word average value of interaction coupling constant αs(mz) with |βg|.
References
[1]
Sommerfeld, A. (1919) Atombau und Spektrallinien. Friedrich Vieweg & Sohn, Braunschweig.
[2]
The NIST Reference of Constants, Units and Uncertainty (2018) NIST Gaitherburg, MD 20899, Gaitherburg.
[3]
Guynn, P. (2018) Thomas Precession Is the Basis for the Structure of Matter and Space. viXra, 1810.0456, 1-27.
[4]
Mozafari, K. (2022) Unified Equation of Fundamental Forces’ Coupling Values, and the Existence of Subsequent, Fifth and Other, Forces. Journal of Applied Mathematics and Physics, 10, 2499-2507. https://doi.org/10.4236/jamp.2022.108168
[5]
Pellis, S. (2022) Unity Formulas for the Coupling Constants and the Dimensionless Physical Constants. ResearchGate. https://doi.org/10.22541/au.164458300.02974616/v1
[6]
Pellis, S. (2022) Dimensionless Unification of the Fundamental Interactions. RsearchGate, 1-49. https://doi.org/10.2139/ssrn.4201780
[7]
Thomas, L.H. (1926) The Motion of the Spinning Electron. Nature, 117, 514. https://doi.org/10.1038/117514a0
[8]
Otto, H.H. (2020) Reciprocity as an Ever-Present Dual Property of Everything. Journal of Modern Physics, 11, 98-121. https://doi.org/10.4236/jmp.2020.111007
[9]
Olsen, S. (2006) The Golden Section: Nature’s Greatest Secret. Bloomsbury, London, 64 p.
[10]
Suleiman, R. (2019) Relativizing Newton. Nova Scientific Publisher, New York, 1-207.
[11]
Schwinger, J. (1948) Über die Quantumelektrodynamik und das magnetische Moment des Elektrons. Physical Review, 73, 416-417. https://doi.org/10.1103/PhysRev.73.416
[12]
Otto, H.H. (2017) Gyromagnetic Factor of the Free Electron: Quantum-Electrodynamical Correction Expressed Solely by the Golden Mean. Nonlinear Science Letters A, 8, 413-415.
[13]
Otto, H.H. (2022) Golden Quartic Polynomial and Moebius-Ball Electron. Journal of Applied Mathematics and Physics, 10, 1785-1812. https://doi.org/10.4236/jamp.2022.105124
[14]
Otto, H.H. (2022) Golden Ratio Signature Behind Guynn’s Matter/Space Approach. Journal of Applied Mathematics and Physics, 10, to be published.
[15]
Otto, H.H. (2020) Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond. World Journal of Condensed Matter Physics, 10, 135-159. https://doi.org/10.4236/wjcmp.2020.103009
[16]
Hardy, L. (1993) Nonlocality for Two Particles without Inequalities for Almost All Entangled States. Physical Review Letters, 71, 1665-1668. https://doi.org/10.1103/PhysRevLett.71.1665
[17]
El Naschie, M.S. (2004) A Review of E-Infinity and the Mass Spectrum of High Energy Particle Physics. Chaos, Solitons & Fractals, 19, 209-236. https://doi.org/10.1016/S0960-0779(03)00278-9
Otto, H.H. (2017) Should We Pay More Attention to the Relationship Between the Golden Mean and the Archimedes’ Constant? Nonlinear Science Letters A, 8, 410-412.
[20]
Tumasyan, A., et al. (2022) Measurement and QCD Analysis of Double-Differential Inclusive jet Cross Sections in Proton-Proton Collisions at √s= 13TeV. Journal of High Energy Physics, 2022, Article ID: 142.
[21]
Suleiman, R. (2022) Dark Matter Is What Tells Matter How to Move and How Fast. ResearchGate, 1-16.
[22]
Otto, H.H. (2021) Nuclear Fusion Research and Development Need New Relativistic Mass and Energy Corrections Given by the Information Relativity Theory. Journal of Applied Mathematics and Physics, 10, 1813-1836. https://doi.org/10.4236/jamp.2022.105125
[23]
Olsen, S., Marek-Crnjac, L., He, J.H. and El Naschie, M.S. (2021) A Grand Unification of the Sciences, Arts & Consciousness: Rediscovering the Pythagorean Plato’s Golden Mean Number System. Scott Olsen, Ocala, 145 p.
[24]
Busse, G., Otto, H.H., Röll, K. and Stock, M. (1973) Anleitungen zum Anfängerpraktikum A1 im Fachbereich Physik der Universität Regensburg. Self-Publishing of the Physics Department, 1-100.