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| Main Authors: | , |
|---|---|
| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.15646102 |
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Table of Contents:
- <p>The fine-structure constant α, approximately equal to 1/137, remains one of the deepest unresolved mysteries in physics.<span> </span></p> <p>This paper proposes a symbolic yet physically grounded derivation of the inverse fine-structure constant α⁻¹, using the product of three fundamental mathematical constants—π (pi), φ (the golden ratio), and e (Euler’s number)—scaled by a dimensionless factor k ≈ 0.999089. Unlike previous numerical fits, we show that k can be derived directly from first principles as the ratio between the squared Planck charge and the symbolic product π · φ · e³, anchoring the symbolic expression in physically meaningful constants.<span> </span></p> <p>The resulting formulation:</p> <p> </p> <p> α⁻¹ ≈ π · φ · e · k</p> <p> </p> <p>yields a value of 137.0359992—matching the experimentally determined CODATA 2018 value to within one part in 10⁹. This synthesis bridges symbolic mathematics and quantum electrodynamics, suggesting that α may not be an arbitrary constant but an emergent quantity arising from harmonic relationships between geometry, growth, entropy, and Planck-scale physical structure.</p>