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| Formato: | Recurso digital |
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| Publicado: |
Zenodo
2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.18717375 |
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- <p>We construct a mathematically closed operator framework unifying emergent vacuum<br>dynamics as formulated in Theory Z, the generalized Radioactive Equilibrium Point (REP),<br>and Dual Spectral Resonance (DSR). By embedding nuclear stationary conditions into an ef<br>fective vacuum response operator and introducing dual-branch spectral symmetry, we derive<br>explicit spectral stabilization signatures characterized by eigenvalue displacement, spectral<br>gap formation, and resonance-induced mode splitting. The unified formalism is expressed in<br>terms of a coupled linear operator acting on a composite Hilbert space. Stability conditions<br>are obtained from the spectrum of the total operator, providing a rigorous criterion:<br>Reσ(Ltotal) < 0.<br>The framework integrates induced gravity concepts [1, 2], nuclear equilibrium dynamics [3],<br>and spectral symmetry structures [4], producing a formally consistent stabilization theory.</p>