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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.20265599 |
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- <p class="MsoNormal"><span>Elastic Interaction Process Theory (EIPT) is a generalized conceptual and mathematical framework proposing that all real-world processes — physical, biological, computational, and organisational — are governed by dynamically elastic interactions between coupled entities, rather than by the isolated properties of rigid components. Classical engineering models, grounded in rigid-body mechanics, linear equilibrium, and instantaneous force transmission, systematically fail to account for the deformation, recovery, memory, and adaptive stability that characterise real-world interaction networks. EIPT addresses this gap through seven foundational axioms, a master stability equation relating Process Stability (Ps) to Disturbance Amplification (Da), Memory Effects (Me), Coupled Response Coherence (Cr), and Adaptive Damping (Ad), and a taxonomy of five dynamic interaction states. The elastic recovery function, memory convolution integral, coupling strength metric, and stability margin complete the mathematical architecture. Three cross-domain exemplifications are developed in detail: tendon viscoelasticity in biological systems, seismic structural response in civil engineering, and the bullwhip effect in supply chain management — each reinterpreted through the EIPT lens with fitted published parameters. A fourth exemplification addresses gradient-descent optimisation in machine learning as an instance of Adaptive Elastic damping. Cross-domain coverage analysis confirms that EIPT provides superior explanatory breadth relative to classical theory and the Dynamic Interface Quality Engineering (DIQE) framework across seven industrial and scientific domains. EIPT is positioned as a paradigm-shifting contribution to process science, establishing that stability is not a property of rigidity but of controlled elastic recovery.</span></p>