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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.19410041 |
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Table of Contents:
- <p>This manuscript presents the formalization and proof of Hanners Theorem, establishing the existence of discrete eigenstates and finite nonzero mass gaps in non-Abelian gauge theories via an entropy-minimization framework termed Harmonic Coherence (HC). The argument proceeds in two complementary tracks—gauge-theoretic and information-theoretic—that converge: the spectral mass gap is the gauge-theoretic manifestation of the entropy gap established by the fixed-point theorem.</p><p>Three principal results are established: fixed-point existence for the HC evolution map, convergence to a normally hyperbolic invariant manifold, and identification of HC fixed points as natural Condition C sources with sub-Shannon compression. Applications to seven Millennium-class problems, cosmological resolutions, and a universal scaling law are developed in the main body and companion papers.</p>