T144 FRAMEWORK — PAPER 13: Gauge Structure, Topological Navigation and the Healthy State Theorem.
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2026
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| _version_ | 1866901063487979520 |
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| author | Bénard, J_T |
| author_facet | Bénard, J_T |
| contents | <p><span><span><span><strong>ABSTRACT</strong></span></span></span></p> <p><span><span><span>We establish the complete gauge structure of the T144 framework from the rigorous computation of H3(Z120, U(1)) isomorphic to Z120. This cohomology group has 120 classes, only one of which - the trivial class k = 0 - corresponds to the state of health. This fundamental asymmetry between the healthy state (algebraic neutral element) and the 119 pathological states (non-zero torsion) constitutes the Healthy State Theorem. We define a natural metric on Z120, identify the therapeutic inverse of each pathological state, and establish a four-regime stratification. The decomposition 120 = 49 + 71, interpreted in Paper 3b as a spectral discriminant, proves to be an exact gauge cancellation: k = 49 and k-inverse = 71 are inverses in H3(Z120, U(1)). Two levels of gauge structure are distinguished: the orbifold level H3(Z16, U(1)) isomorphic to Z16 and the universal level H3(Z120, U(1)) isomorphic to Z120, the invariant eta = 49/120 necessarily requiring this second level.</span></span></span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19019973 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | T144 FRAMEWORK — PAPER 13: Gauge Structure, Topological Navigation and the Healthy State Theorem. Bénard, J_T <p><span><span><span><strong>ABSTRACT</strong></span></span></span></p> <p><span><span><span>We establish the complete gauge structure of the T144 framework from the rigorous computation of H3(Z120, U(1)) isomorphic to Z120. This cohomology group has 120 classes, only one of which - the trivial class k = 0 - corresponds to the state of health. This fundamental asymmetry between the healthy state (algebraic neutral element) and the 119 pathological states (non-zero torsion) constitutes the Healthy State Theorem. We define a natural metric on Z120, identify the therapeutic inverse of each pathological state, and establish a four-regime stratification. The decomposition 120 = 49 + 71, interpreted in Paper 3b as a spectral discriminant, proves to be an exact gauge cancellation: k = 49 and k-inverse = 71 are inverses in H3(Z120, U(1)). Two levels of gauge structure are distinguished: the orbifold level H3(Z16, U(1)) isomorphic to Z16 and the universal level H3(Z120, U(1)) isomorphic to Z120, the invariant eta = 49/120 necessarily requiring this second level.</span></span></span></p> |
| title | T144 FRAMEWORK — PAPER 13: Gauge Structure, Topological Navigation and the Healthy State Theorem. |
| url | https://doi.org/10.5281/zenodo.19019973 |