Relaxation & Stabilität im Universellen Raumgitter-Modell (URG)
Relaxation & Stabilität im Universellen Raumgitter-Modell (URG)
This Technical Note (V1) presents a systematic analysis of the relaxation and stability properties of the Universal Lattice Model (URG).Starting from a toroidal initial configuration, the study investigates the explicit relaxation rule applied on a two-dimensional discrete grid with a standard 5-point Laplace operator. To ensure full reproducibility, the publication is accompanied by a ZIP archive containing all Python scripts, generated figures, and a minimal usage guide. License Notice: The complete Open-Human-License is included in the PDF Document.
Diese Technical Note (V1) untersucht die Relaxations- und Stabilitätseigenschaften des Universellen Raumgitter-Modells (URG).Ausgehend von einem torusförmigen Anfangszustand wird ein expliziter Relaxationsschritt auf einem zweidimensionalen Gitter analysiert. Für vollständige Reproduzierbarkeit wird ein ZIP-Archiv bereitgestellt, das alle Python-Skripte, Abbildungen und eine minimale Anleitung enthält. Lizenzhinweis: Die vollständige Open-Human-License ist im PDF-Dokument enthalten.
torus configuration, grid model, radial structures, URG, torus, emergent modes, dynamical systems, simulation, computational model, Laplace operator, numerical stability, relaxation, numerical simulation, laplacian, diffusion-like update, g2 metric, energy proxy, technical validation, lattice dynamics, relaxation field, discrete relaxation
torus configuration, grid model, radial structures, URG, torus, emergent modes, dynamical systems, simulation, computational model, Laplace operator, numerical stability, relaxation, numerical simulation, laplacian, diffusion-like update, g2 metric, energy proxy, technical validation, lattice dynamics, relaxation field, discrete relaxation
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