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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19019973 |
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Table of 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>