A Symbolic Derivation of the Fine- Structure Constant: From Empirical Scaling to Entropy Geometry
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2025
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| _version_ | 1866902333382721536 |
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| author | Michael Biele |
| author_facet | Michael Biele |
| contents | <p>This report presents a comprehensive symbolic derivation of the inverse fine-structure constant, α⁻¹, a dimensionless quantity whose precise value remains one of physics' most profound mysteries. The core contribution is a refined, first-principles derivation based on an entropy-geometry model, expressed as α⁻¹ ≈ ln(π · φ²) + e⁶ / 8. This formulation leverages fundamental mathematical constants—π (pi), φ (the golden ratio), and e (Euler’s number)—to conceptualize α as an emergent property of vacuum structure, thereby bridging pure mathematics and quantum field theory. The entropy-geometry model achieves high numerical precision, matching the CODATA 2022 value to within seven significant digits. This refined model represents a significant theoretical advancement, evolving from an earlier empirical formulation that included a fitted scaling factor, thereby offering a more robust and theoretically justified explanation for this fundamental constant.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15676673 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Symbolic Derivation of the Fine- Structure Constant: From Empirical Scaling to Entropy Geometry Michael Biele Theoretical physics Mathematical physics Symbolic Interactionism <p>This report presents a comprehensive symbolic derivation of the inverse fine-structure constant, α⁻¹, a dimensionless quantity whose precise value remains one of physics' most profound mysteries. The core contribution is a refined, first-principles derivation based on an entropy-geometry model, expressed as α⁻¹ ≈ ln(π · φ²) + e⁶ / 8. This formulation leverages fundamental mathematical constants—π (pi), φ (the golden ratio), and e (Euler’s number)—to conceptualize α as an emergent property of vacuum structure, thereby bridging pure mathematics and quantum field theory. The entropy-geometry model achieves high numerical precision, matching the CODATA 2022 value to within seven significant digits. This refined model represents a significant theoretical advancement, evolving from an earlier empirical formulation that included a fitted scaling factor, thereby offering a more robust and theoretically justified explanation for this fundamental constant.</p> |
| title | A Symbolic Derivation of the Fine- Structure Constant: From Empirical Scaling to Entropy Geometry |
| topic | Theoretical physics Mathematical physics Symbolic Interactionism |
| url | https://doi.org/10.5281/zenodo.15676673 |