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2026
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| Accesso online: | https://doi.org/10.5281/zenodo.20094096 |
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| _version_ | 1866901440495091712 |
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| author | Kaupp, Alexander |
| author_facet | Kaupp, Alexander |
| contents | <p>Preface</p> <p>Modern civilization has entered a historically unprecedented phase of global nonlinear coupling.</p> <p>Economic systems are no longer isolated structures.</p> <p>Instead, contemporary civilization operates through tightly interconnected networks involving:</p> <ul> <li>finance,</li> <li>energy systems,</li> <li>digital infrastructure,</li> <li>artificial intelligence,</li> <li>logistics,</li> <li>labor systems,</li> <li>geopolitical structures,</li> <li>and planetary-scale information propagation.</li> </ul> <p>Under such conditions, classical equilibrium economics becomes increasingly insufficient for describing real systemic behavior.</p> <p>Modern crises demonstrate that instability often emerges not from isolated external shocks alone, but from hidden amplification mechanisms embedded within the structure of coupled economic systems.</p> <p>Small perturbations may trigger:</p> <ul> <li>liquidity cascades,</li> <li>debt amplification,</li> <li>institutional instability,</li> <li>supply-chain collapse,</li> <li>banking contagion,</li> <li>and civilization-scale systemic stress.</li> </ul> <p>This volume develops a nonlinear operator-theoretic framework for analyzing such processes.</p> <p>The central principle of this work is that economic survivability depends on the balance between:</p> <ul> <li>perturbation intensity,</li> <li>amplification geometry,</li> <li>and adaptive stabilization capacity.</li> </ul> <p>This relationship is expressed through the economic instability functional:<br><span class="Apple-converted-space"> </span>K_E(t)=\frac{M_E(t)G_E(t)}{S_E(t)}</p> <p>The framework developed throughout this volume integrates concepts from:</p> <ul> <li>nonlinear dynamics,</li> <li>operator theory,</li> <li>network science,</li> <li>macroeconomics,</li> <li>cybernetics,</li> <li>systems theory,</li> <li>financial mathematics,</li> <li>and civilization dynamics.</li> </ul> <p>The objective is not merely to reinterpret existing economics, but to establish a generalized mathematical architecture capable of describing amplification-driven instability across global economic systems.</p> <p>This volume constitutes the second major component of the Unified Nonlinear Architecture research series.</p> <p>While Volume I established the foundational operator-theoretic principles of nonlinear instability, the present volume applies and extends these principles to economics, financial systems, and civilization-scale adaptive structures.</p> <p>Future volumes will further investigate:</p> <ul> <li>quantum instability,</li> <li>biological amplification,</li> <li>hydrodynamic systems,</li> <li>cybernetic architectures,</li> <li>artificial intelligence dynamics,</li> <li>and cosmological operator structures.</li> </ul> <p> </p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20094096 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Nonlinear Economics and Civilization Dynamics Operator-Theoretic Foundations of Economic Instability, Financial Amplification, and Planetary System Dynamics Kaupp, Alexander <p>Preface</p> <p>Modern civilization has entered a historically unprecedented phase of global nonlinear coupling.</p> <p>Economic systems are no longer isolated structures.</p> <p>Instead, contemporary civilization operates through tightly interconnected networks involving:</p> <ul> <li>finance,</li> <li>energy systems,</li> <li>digital infrastructure,</li> <li>artificial intelligence,</li> <li>logistics,</li> <li>labor systems,</li> <li>geopolitical structures,</li> <li>and planetary-scale information propagation.</li> </ul> <p>Under such conditions, classical equilibrium economics becomes increasingly insufficient for describing real systemic behavior.</p> <p>Modern crises demonstrate that instability often emerges not from isolated external shocks alone, but from hidden amplification mechanisms embedded within the structure of coupled economic systems.</p> <p>Small perturbations may trigger:</p> <ul> <li>liquidity cascades,</li> <li>debt amplification,</li> <li>institutional instability,</li> <li>supply-chain collapse,</li> <li>banking contagion,</li> <li>and civilization-scale systemic stress.</li> </ul> <p>This volume develops a nonlinear operator-theoretic framework for analyzing such processes.</p> <p>The central principle of this work is that economic survivability depends on the balance between:</p> <ul> <li>perturbation intensity,</li> <li>amplification geometry,</li> <li>and adaptive stabilization capacity.</li> </ul> <p>This relationship is expressed through the economic instability functional:<br><span class="Apple-converted-space"> </span>K_E(t)=\frac{M_E(t)G_E(t)}{S_E(t)}</p> <p>The framework developed throughout this volume integrates concepts from:</p> <ul> <li>nonlinear dynamics,</li> <li>operator theory,</li> <li>network science,</li> <li>macroeconomics,</li> <li>cybernetics,</li> <li>systems theory,</li> <li>financial mathematics,</li> <li>and civilization dynamics.</li> </ul> <p>The objective is not merely to reinterpret existing economics, but to establish a generalized mathematical architecture capable of describing amplification-driven instability across global economic systems.</p> <p>This volume constitutes the second major component of the Unified Nonlinear Architecture research series.</p> <p>While Volume I established the foundational operator-theoretic principles of nonlinear instability, the present volume applies and extends these principles to economics, financial systems, and civilization-scale adaptive structures.</p> <p>Future volumes will further investigate:</p> <ul> <li>quantum instability,</li> <li>biological amplification,</li> <li>hydrodynamic systems,</li> <li>cybernetic architectures,</li> <li>artificial intelligence dynamics,</li> <li>and cosmological operator structures.</li> </ul> <p> </p> <p> </p> |
| title | Nonlinear Economics and Civilization Dynamics Operator-Theoretic Foundations of Economic Instability, Financial Amplification, and Planetary System Dynamics |
| url | https://doi.org/10.5281/zenodo.20094096 |