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May 21, 20260 citationsOpen Access

Φ³ - The Origin of the Fine-Structure Constant - The Electron Suspended Between Light and Mass

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VPViscariello Paolo

Key Points

  • This work aims to provide a geometric interpretation of the fine-structure constant α through the properties of a Φ³ field and the electron's spiral structure.
  • Developed a model based on spiral dynamics of the Φ³ field to represent the electron.
  • Calculated the fine-structure constant α and compared it to the CODATA/NIST value.
  • Introduced a golden-phase interpretation to strengthen the initial estimates of α.
  • The model reproduced the experimental value of α with a deviation of approximately 0.07%.
  • The corrected phase formulation yielded α⁻¹ = 137.0359991648, closely matching the CODATA/NIST value of 137.035999177(21).
  • The effective deviation was reduced significantly, indicating a more precise representation of the fundamental structures.

Abstract

This work presents a geometric interpretation of the fine-structure constant α from the spiral dynamics of the fundamental Φ³ field. In this model, the electron is not treated as a point particle nor merely as a probabilistic wave, but as an intermediate spiral structure suspended between two limiting configurations of the field: the fully uncoiled spiral of light and the maximally compressed spiral of the proton. The constant α emerges as a measure of the spiral tension required for the electron to maintain a stable state between these two limits. In the original spiral-tension formulation, the model reproduced the experimental value of α with a relative deviation of approximately 0.07%. In the revised version, this result is strengthened by introducing a corrected golden-phase interpretation of α⁻¹. The inverse fine-structure constant is expressed through a Φ-based decomposition previously explored in golden-ratio approaches, but here reinterpreted as the phase floor underlying the Φ³ spiral field: α⁻¹ ≈ 360φ⁻² − 2φ⁻³ + (3φ)⁻⁵. This corrected phase formulation gives: α⁻¹ = 137.0359991648, compared with the CODATA/NIST value: α⁻¹ = 137.035999177(21). The absolute deviation is therefore approximately 1.2 × 10⁻⁸, within the current CODATA/NIST uncertainty interval. Relative to the initial ~0.07% spiral-tension estimate, the effective deviation is reduced by several million times. The corrected Φ-decomposition may not yet be the most elegant possible expression of the underlying structure. Rather, it should be read as a precise surface trace of a deeper Φ³ field law still to be fully derived. The aim of this work is not to claim priority over every numerical appearance of Φ in α, but to show that these Φ-based structures may belong to a coherent field dynamics. Within this framework, α⁻¹ behaves as a corrected golden phase, while α itself measures the coupling tension generated by the deformation of that ideal phase. This work proposes a unified geometric interpretation of light, charge, mass, and electromagnetic coupling, offering a potential bridge between quantum mechanics, field structure, and nuclear geometry.

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Cite This Study

Viscariello Paolo (2026) studied this question.

synapsesocial.com/papers/6a0ea13abe05d6e3efb5fb3chttps://doi.org/10.5281/zenodo.20298947
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