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| Format: | Recurso digital |
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Zenodo
2026
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| Online adgang: | https://doi.org/10.5281/zenodo.20162417 |
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Indholdsfortegnelse:
- <p>This paper provides numerical validation for Paper 16's residual memory field framework. Through 1D simulations of the nonlinear Langevin equation governing R(x,t), we discover that the residual field spontaneously localizes into discrete structural units called residua.</p> <p>Key findings:<br>- Nonlinearity as hardener, not creator: Structures exist even at very weak nonlinearity (b=0.1); increasing b locks existing fluctuations rather than creating new ones.<br>- Three dynamical regimes: Noise-Dominated (b<0.7), Transition (0.7<b<1.5), and Apparent Dynamical Locking Plateau (b>1.5), where the variance of peak count drops to zero.<br>- Spatial order: The correlation function C(r) exhibits oscillatory decay, revealing lateral inhibition (C(1)<0) and quasi-periodic ordering with characteristic spacing ≈10 lattice units.<br>- Hierarchical structure: Different detection thresholds reveal primary (high amplitude) and secondary (low amplitude) residua.</p> <p>These discrete, repulsive, dynamically locked high-energy clusters constitute the elementary units of structural memory, providing the foundation for the residuum algebra developed in Paper 18.</p> <p>This is a working paper, not peer-reviewed. Version 3.8 (Extended numerical methods, sensitivity analysis, aligned with Paper 18 v2.1).</p>