Symbolic Derivation of the Fine-Structure Constant
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866902330103824384 |
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| author | Michael Biele Nicole Mannix |
| author_facet | Michael Biele Nicole Mannix |
| contents | <p>The fine-structure constant α, approximately equal to 1/137, remains one of the deepest</p> <p>unresolved mysteries in physics. This paper proposes a symbolic derivation of the inverse</p> <p>fine-structure constant, α⁻¹, using three fundamental mathematical constants: π (pi), φ (the</p> <p>golden ratio), and e (Euler’s number). When scaled by a dimensionless factor k</p> <p>≈</p> <p>0.99901,</p> <p>the resulting expression α⁻¹</p> <p>≈</p> <p>π·φ·e·k yields a value of 137.0359992, matching the</p> <p>experimentally determined CODATA 2018 value to within 1 part in 10⁹. We explore the</p> <p>possible significance of this formulation, including geometric and resonance-based</p> <p>interpretations, and examine whether this pattern reflects a deeper symbolic or physical</p> <p>structure rather than coincidence. This symbolic expression may provide a conceptual</p> <p>bridge between pure mathematics and quantum field theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15636319 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Symbolic Derivation of the Fine-Structure Constant Michael Biele Nicole Mannix Theoretical physics Mathematical physics Symbolic Interactionism <p>The fine-structure constant α, approximately equal to 1/137, remains one of the deepest</p> <p>unresolved mysteries in physics. This paper proposes a symbolic derivation of the inverse</p> <p>fine-structure constant, α⁻¹, using three fundamental mathematical constants: π (pi), φ (the</p> <p>golden ratio), and e (Euler’s number). When scaled by a dimensionless factor k</p> <p>≈</p> <p>0.99901,</p> <p>the resulting expression α⁻¹</p> <p>≈</p> <p>π·φ·e·k yields a value of 137.0359992, matching the</p> <p>experimentally determined CODATA 2018 value to within 1 part in 10⁹. We explore the</p> <p>possible significance of this formulation, including geometric and resonance-based</p> <p>interpretations, and examine whether this pattern reflects a deeper symbolic or physical</p> <p>structure rather than coincidence. This symbolic expression may provide a conceptual</p> <p>bridge between pure mathematics and quantum field theory.</p> |
| title | Symbolic Derivation of the Fine-Structure Constant |
| topic | Theoretical physics Mathematical physics Symbolic Interactionism |
| url | https://doi.org/10.5281/zenodo.15636319 |