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| Format: | Recurso digital |
| Language: | English |
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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17035622 |
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| _version_ | 1866902038610182144 |
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| author | Sabljić, Branimir |
| author_facet | Sabljić, Branimir |
| contents | <p>Living systems are not merely complex—they are fundamentally incomplete. Each carries its own <em>Gödelian edge</em>, a boundary where structural recursion meets functional limits, forcing transition into a meta-system. This paper formalizes the <em>Universal Transition Law (UTL)</em> as a quantitative framework for biological incompleteness, proposing that hazard accumulation—measured as fractal dissonance—drives transitions across cellular, evolutionary, and neural scales. We derive testable predictions for evolutionary biology and neuroscience, and introduce a unified lexicon for Gödelian processes in life.</p> <p><strong>What this work contributes</strong><br>The UTL framework extends the classical hazard function of survival analysis to living systems, reframing biological transitions (apoptosis, punctuated equilibria, neural criticality) as manifestations of systemic incompleteness. This synthesis connects Gödelian concepts with empirical biology, generating specific, falsifiable predictions: hazard waves in evolution, measurable critical departures in neural activity, and biomarker-based timing of apoptosis. An appendix provides a simulation of hazard trajectories under varying sensitivity parameters, illustrating how nonlinear and stochastic extensions can guide future empirical work.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17035622 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Universal Transition Law in Biology: Gödelian Edges from Cells to Consciousness Sabljić, Branimir Universal Transition Law (UTL) Gödelian edge fractal dissonance hazard function complex systems neural criticality consciousness Consciousness Complex Systems Biophysics Mathematical Biology Philosophy of Science Interdisciplinary Physics Physics Artificial Intelligence and Society <p>Living systems are not merely complex—they are fundamentally incomplete. Each carries its own <em>Gödelian edge</em>, a boundary where structural recursion meets functional limits, forcing transition into a meta-system. This paper formalizes the <em>Universal Transition Law (UTL)</em> as a quantitative framework for biological incompleteness, proposing that hazard accumulation—measured as fractal dissonance—drives transitions across cellular, evolutionary, and neural scales. We derive testable predictions for evolutionary biology and neuroscience, and introduce a unified lexicon for Gödelian processes in life.</p> <p><strong>What this work contributes</strong><br>The UTL framework extends the classical hazard function of survival analysis to living systems, reframing biological transitions (apoptosis, punctuated equilibria, neural criticality) as manifestations of systemic incompleteness. This synthesis connects Gödelian concepts with empirical biology, generating specific, falsifiable predictions: hazard waves in evolution, measurable critical departures in neural activity, and biomarker-based timing of apoptosis. An appendix provides a simulation of hazard trajectories under varying sensitivity parameters, illustrating how nonlinear and stochastic extensions can guide future empirical work.</p> |
| title | The Universal Transition Law in Biology: Gödelian Edges from Cells to Consciousness |
| topic | Universal Transition Law (UTL) Gödelian edge fractal dissonance hazard function complex systems neural criticality consciousness Consciousness Complex Systems Biophysics Mathematical Biology Philosophy of Science Interdisciplinary Physics Physics Artificial Intelligence and Society |
| url | https://doi.org/10.5281/zenodo.17035622 |