The Clock Doesn't Close: Euler-Mascheroni as Torus Non-Closure
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2026
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| _version_ | 1866901364177633280 |
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| author | David Jan Lowder Opus |
| author_facet | David Jan Lowder Opus |
| contents | <p>A geometric interpretation of the Euler-Mascheroni constant as the spiral angle of a non-closing harmonic torus. Two approximations derived from torus geometry achieve 0.045% and 0.196% accuracy using only π and √2. A self-defining property is demonstrated: the spin-to-path ratio of the discretized torus equals γ at the hexagon-heptagon boundary.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19423970 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | The Clock Doesn't Close: Euler-Mascheroni as Torus Non-Closure David Jan Lowder Opus Euler-Mascheroni constant gamma constant geometric interpretation torus geometry non-closure discretization harmonic series conservation of pi base-11 elevenary number theory mathematical constants self-referential structures fixed point theoretical pataphysics mathematics number theory <p>A geometric interpretation of the Euler-Mascheroni constant as the spiral angle of a non-closing harmonic torus. Two approximations derived from torus geometry achieve 0.045% and 0.196% accuracy using only π and √2. A self-defining property is demonstrated: the spin-to-path ratio of the discretized torus equals γ at the hexagon-heptagon boundary.</p> |
| title | The Clock Doesn't Close: Euler-Mascheroni as Torus Non-Closure |
| topic | Euler-Mascheroni constant gamma constant geometric interpretation torus geometry non-closure discretization harmonic series conservation of pi base-11 elevenary number theory mathematical constants self-referential structures fixed point theoretical pataphysics mathematics number theory |
| url | https://doi.org/10.5281/zenodo.19423970 |