International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: https://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
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International Journal of Physics. 2025, 13(3), 55-61
DOI: 10.12691/ijp-13-3-2
Open AccessArticle

Primordial Physical Origin of the Fine-Structure Constant, and some of its Applications

G. Sardin1,

1Department of Applied Physics, University of Barcelona, Spain

Pub. Date: July 09, 2025

Cite this paper:
G. Sardin. Primordial Physical Origin of the Fine-Structure Constant, and some of its Applications. International Journal of Physics. 2025; 13(3):55-61. doi: 10.12691/ijp-13-3-2

Abstract

Until now, there is no widely accepted theoretical derivation of the fine-structure constant (α) from first principles. It remains one of the biggest open questions in fundamental physics. There has been many attempts and perspectives on this enduring mystery, and quest to understand the origin of α continues to drive much research. While its significance and measurement are well-established, the fundamental reason for its specific value remained a profound mystery in physics. The key question that endures is: Among of the various pursuits of the fine-structure constant derivation, what is its actual primordial origin? We present a novel approach that provides its primordial physical origin, which has not been reported until now. It arises from the structural properties of the electron itself, specifically from its two structural frequencies: the oscillation frequency: fo = me c2 / h and the gyratory frequency: fg = c / 2 π re where re is the classical electron radius (re = q2 / me c2). Thus, we obtain:It turns out that the inverse value of the fine-structure constant α-1 is given by the ratio of these two structural frequencies of the electron. As expressed in the previous formulation, the ratio of its structural gyratory fg and oscillatory fo frequencies is equal to the product of the reduced Planck constant and the intrinsic speed of light, divided by the square of the electron’s electric charge. It is thus shown that the ratio fg / fo corresponds to the inverse fine-structure constant. The fact that the fine-structure constant is dimensionless has puzzled the physics community, however from our perspective, this is logical since its physical origin lies in the ratio of two frequencies. Furthermore, determining the primordial physical origin of the fine-structure constant and the roots of being dimensionless, reveals various insights of electromagnetism. Since its origin lies in the electron itself, it is consistent that it extends to various features of electromagnetism, as well as in quantum electrodynamics (QED), and more broadly in quantum field theory, and also in the field of subatomic particles. Here, in addition to its physical origin, some of its applications are presented too.

Keywords:
Fine-structure constant Primordial physical origin Electron’s structure Structural gyratory and oscillatory frequencies

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References:

[1]  Current advances: The fine-structure constant.
 
[2]  Fine-structure constant – Wikipedia.
 
[3]  Dupays, J. (2003) The Fine-Structure Constant: From Eddington's Time to the Present Contemporary Physics, 44(4), 319–331.
 
[4]  Barrow, J. D. (2002) The Constants of Nature: From Alpha to Omega Vintage Books.
 
[5]  Bouchendira, R. et al. (2011), New Determination of the Fine-Structure Constant, Physical Review Letters.
 
[6]  Morel, L. et al. (2020). Determination of the Fine-Structure Constant with Rubidium Atoms, Nature.
 
[7]  Evaluation of the Fine Structure Constant Adriano Alippi, Journal of Modern Physics Vol.11 No.12, December 7, 2020.
 
[8]  Calculation of the Fine-Structure Constant, Jesús Sánchez, Journal of High Energy Physics, Gravitation and Cosmology > Vol.4 No.3, July 2018.
 
[9]  Bohr model – Wikipedia.
 
[10]  Sommerfeld, A. (1916) Zur Feinstruktur der Wasserstofflinien (On the Fine Structure of Hydrogen Lines) - Annalen der Physik, 51(17), 1–94.
 
[11]  Bohr–Sommerfeld model – Wikipedia.
 
[12]  Schrödinger Equation for the Hydrogen Atom.pdf.
 
[13]  4.10: The Schrödinger Wave Equation for the Hydrogen Atom - Chemistry Libre Texts.
 
[14]  Schröder's equation – Wikipedia.
 
[15]  J. S. Schwinger, On quantum electrodynamics and the magnetic moment of the electron, Phys. Rev. 73, 416 (1948).
 
[16]  Introduction to the Dirac Equation (2020) Robert G. Littlejohn dirac.dvi.
 
[17]  Dirac equation – Wikipedia.
 
[18]  P. A. M. Dirac, The quantum theory of electron. Part II, Proc. R. Soc. A 118, 351 (1928)(PDF) The Quantum Theory of the Electron. Part II (1928) | Paul Adrien Maurice Dirac |.
 
[19]  Quantum Electrodynamics (QED)Quantum electrodynamics – Wikipedia.
 
[20]  https://www.damtp.cam.ac.uk/user/tong/qft/six.pdf.
 
[21]  Quantum electrodynamics – Wikipedia.
 
[22]  S.M. Blinder - Structure and Self-Energy of the Electron https://deepblue.lib.umich.edu/bitstream/handle/2027.42/34397/1806_ftp.pdf?sequence=1.
 
[23]  Electron – Wikipedia.
 
[24]  8.3: Orbital Magnetic Dipole Moment of the Electron - Physics Libre Texts.
 
[25]  Electron magnetic moment - Wikipedia.
 
[26]  Electron anomalous magnetic moment: history and current status
 
[27]  New Measurement of the Electron Magnetic Moment and the Fine Structure Constant, D. Hanneke, S. Fogwell, and G. Gabrielse - Physical Review Letters (2008), https:// cfp. physics.northwestern.edu/ documents/ Harvard Electron Magnetic Moment2008.pdf.
 
[28]  Electron Magnetic Moment.
 
[29]  Anomalous magnetic dipole moment – Wikipedia.
 
[30]  g-factor (physics).
 
[31]  g-factor (physics) – Wikipedia.
 
[32]  Gabrielse, G. et al. (2006) New Determination of the Fine-Structure Constant from the Electron g-Value and QED, Physical Review Letters, 97(3): 030802.
 
[33]  Bohr radius – Wikipedia.
 
[34]  Muon g − 2: A review – ScienceDirect.
 
[35]  Muon g − 2 Collaboration Phys. Rev. Lett. 126, 141801 (2021)
 
[36]  Rydberg constant | Definition, Formula, Value, & Facts | Britannica.
 
[37]  Rydberg constant – Wikipedia.
 
[38]  CODATA Value: Rydberg constant.
 
[39]  Coupling Constants for the Fundamental Forces.
 
[40]  https://en.wikipedia.org/wiki/Coupling_constant.
 
[41]  Uzan, J.-P. (2003) The Fundamental Constants and Their Variation: Observational and Theoretical Status, Reviews of Modern Physics, 75(2): 403–455.
 
[42]  Parker, R. H., et al. (2018), Measurement of the Fine-Structure Constant as a Test of the Standard Model. Science, 360 (6385), 191–195.
 
[43]  Kinoshita, T. (2006). The Fine-Structure Constant and Quantum Electrodynamics, Reports on Progress in Physics, 69(8), 2443–2504.
 
[44]  Duff, M. J. (2015). How Fundamental Are Fundamental Constants? Contemporary Physics, 56(1), 35–47.
 
[45]  (PDF) New Constraints on variations of the fine structure constant from CMB anisotropies.
 
[46]  Webb, J. K. et al. (1999) Search for Time Variation of the Fine-Structure Constant Physical Review Letters, 82(5): 884–887.