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| Formato: | Recurso digital |
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Zenodo
2026
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| Materias: | |
| Acceso en línea: | https://doi.org/10.5281/zenodo.19494842 |
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- <p>This paper presents a structure-first reinterpretation of motion in which paths are not trajectories through a pre-existing spatial container, but geometric expressions of admissible transitions between constraint-defined states. We argue that admissible motion requires preservation of spectral accessibility, phase continuity, and registrability across changing constraint regimes.</p> <p>Under this framework, motion is understood as constrained routing through admissible configurations, determined by accessible degrees of freedom and boundary conditions. Linear trajectories fail to preserve spectral coherence and phase compatibility under varying constraints, rendering them structurally inadmissible for sustained motion.</p> <p>Curved and rotational geometries—particularly spiral forms—are shown to naturally satisfy admissibility requirements by maintaining continuity of accessible modes and enabling coherent transitions across scales. Curvature therefore emerges as a structural necessity rather than a consequence of force.</p> <p>This interpretation unifies path, location, and constraint within a single framework, where motion reflects transitions between spectral accessibility states and curvature encodes navigation through constraint-defined geometry</p>