Gorde:
| Egile nagusia: | |
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| Formatua: | Recurso digital |
| Hizkuntza: | |
| Argitaratua: |
Zenodo
2026
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.19258210 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- <p>This technical note introduces the <span><strong>torus vantage formula</strong></span>, a one-angle encoding of bounded two-channel partitions on the constraint circle <span>x^2+y^2=e^2+\varphi^2</span>. In this framework, every partition is represented by an observer angle <span>\alpha</span> through the exact relation <span>a(\alpha)=\cos^2\alpha</span>, with all standard manifold diagnostics—altitude, asymmetry, response ratio, dynamics fraction, and budget ratio—following directly from <span>\alpha</span>. The flat-space torus point <span>(\varphi,e)</span> yields a 27/73 partition, while a gravitational rotation of <span>3.45^\circ</span> toward equipartition produces the 32/68 Shannon/Planck partition, preserving the total torus budget <span>X=e^2+\varphi^2</span>. The note further interprets inter-probe discrepancies as <span><strong>geodesic arcs</strong></span> on the constraint circle and identifies the coherence corridor as a narrow intrinsic arc segment whose corresponding four-cell shape remains universal across many physical domains. The result is a compact diagnostic picture in which observer position, geometric regime, and tension structure are unified by a single trigonometric parameter on a single constraint circle.</p>