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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.18296339 |
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Table of Contents:
- <p><em>Spectral Margin Geometry</em> defines the stability margin <span><span>m=1−ρ(A)m = 1 - \rho(A)</span><span><span><span>m</span><span>=</span></span><span><span>1</span><span>−</span></span><span><span>ρ</span><span>(</span><span>A</span><span>)</span></span></span></span> as the central quantitative invariant governing all near-critical behavior in amplified operator systems. The paper shows how margin determines sensitivity to curvature, drift pressure, mixed-gate interactions, observer coupling, and direction-memory violations. Thin margins produce hypersensitivity in basin-restricted spectra, making systems vulnerable to amplification and collapse under even admissible perturbations. The paper provides a full geometric analysis of how margin propagates through reductions, renormalization, and basin restriction, establishing the spectral margin as the universal measure of stability within the Einsteinian Stack.</p>