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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.10288 |
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| _version_ | 1866908705270792192 |
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| author | Hancco, Percy Quispe Mamani, Artemio N. Condori Hancco, Ceferino Quispe Galvez, Aldo H. Zanabria Hancco, Hugo Quispe |
| author_facet | Hancco, Percy Quispe Mamani, Artemio N. Condori Hancco, Ceferino Quispe Galvez, Aldo H. Zanabria Hancco, Hugo Quispe |
| contents | We present a phenomenological geometric framework deriving the anomalous magnetic moments of leptons from a single dimensionless constant V0 = 0.658944. This value emerges as a geometric attractor identified from exactly 18 primitive triangle families, whose completeness is supported by Diophantine constraints and extensive computational searches. The methodology connects three classical mathematical frameworks: De Moivre s theorem (1707), Chebyshev polynomials (1854), and results on the finiteness of integral points. Extended searches expanding the parameter space by a factor of 15 yield no new families, confirming saturation. The constant V0 connects to the Koide formula through Delta = 2/3 - V0 and approximates cos(13*pi/48) to 0.06 percent, suggesting links to cyclotomic fields. Using only dimensionless quantities, we obtain the electron anomaly ae with precision 0.15 ppb, the muon anomaly a_mu with 17 ppb, and the tau anomaly a_tau with 3.4 ppm. The framework is phenomenological and does not claim a derivation from quantum field theory, but its mathematical constraints yield testable predictions for future precision measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Origin of Lepton Anomalous Magnetic Moments: A Dimensionless Framework from Primitive Triangle Families Hancco, Percy Quispe Mamani, Artemio N. Condori Hancco, Ceferino Quispe Galvez, Aldo H. Zanabria Hancco, Hugo Quispe General Physics We present a phenomenological geometric framework deriving the anomalous magnetic moments of leptons from a single dimensionless constant V0 = 0.658944. This value emerges as a geometric attractor identified from exactly 18 primitive triangle families, whose completeness is supported by Diophantine constraints and extensive computational searches. The methodology connects three classical mathematical frameworks: De Moivre s theorem (1707), Chebyshev polynomials (1854), and results on the finiteness of integral points. Extended searches expanding the parameter space by a factor of 15 yield no new families, confirming saturation. The constant V0 connects to the Koide formula through Delta = 2/3 - V0 and approximates cos(13*pi/48) to 0.06 percent, suggesting links to cyclotomic fields. Using only dimensionless quantities, we obtain the electron anomaly ae with precision 0.15 ppb, the muon anomaly a_mu with 17 ppb, and the tau anomaly a_tau with 3.4 ppm. The framework is phenomenological and does not claim a derivation from quantum field theory, but its mathematical constraints yield testable predictions for future precision measurements. |
| title | Geometric Origin of Lepton Anomalous Magnetic Moments: A Dimensionless Framework from Primitive Triangle Families |
| topic | General Physics |
| url | https://arxiv.org/abs/2512.10288 |