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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.20000551 |
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Table of Contents:
- <p>This article investigates the linearized regimes of hull mechanics and reconstructs familiar physical mode equations as projective regime-forms of stabilized hull dynamics. Building on the structure formula of hull mechanics, it considers small deviations <span class="katex"><span class="katex-mathml">Φ=Φ_0+εψ </span></span>around stationary hull regimes and derives the general linearized hull-mode equation</p> <p><span class="katex-display"><span class="katex"><span class="katex-mathml">∂_t^2ψ−v_max^2Δψ+U′′(Φ_0)ψ=0.</span></span></span></p> <p>The paper interprets the wave equation as free difference continuation, the Klein–Gordon structure as mode dynamics in a stability-curved hull landscape, the Schrödinger structure as a nonrelativistic slow-envelope approximation, and the Dirac-type structure as the projective regime of internally oriented hull modes. These equations are not treated as independent ontological foundations, but as linearized projective regimes of a deeper operator-based architecture of stabilized difference.</p>