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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19212108 |
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| author | Lilien, Philip |
| author_facet | Lilien, Philip |
| contents | <p>This paper develops the mathematical basis of <strong>Finsler Coherence Hyperfractal Phaspace</strong><br><strong>(FCHP)</strong> as the generative topological framework underlying Panspatial Genesis. The central<br>thesis is that FCHP is not a passive geometric container but a coherence-active, anisotropic,<br>recursively structured phaspace whose intrinsic laws govern the emergence of organized form.<br>Within this framework, <strong>Noetherian Finsler Numbers (NFN)</strong> provide the quantized local units of<br>directed coherence topology, while the <strong>Coherence Directional Gradient (CDG)</strong> functions as the<br>primary organizing operator through which chirality, torsion, negentropic stabilization, and<br>irreversible emergence are structured.</p> <p>The paper establishes the conceptual and mathematical foundations required to show that life-capable organization is not accidental within such a space, but arises as an intrinsic stability regime of the topology itself. In this sense, Panspatial Genesis is presented not as a metaphor but as a theorem of structured coherence space.<br><br></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19212108 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | PANSPATIAL GENESIS The FCHP Mathematical Basis of Panspatial Genesis Finsler Coherence Hyperfractal Phaspace as the Generative Topology Of Life, Form and Dimensional Emergence Lilien, Philip biogenesis <p>This paper develops the mathematical basis of <strong>Finsler Coherence Hyperfractal Phaspace</strong><br><strong>(FCHP)</strong> as the generative topological framework underlying Panspatial Genesis. The central<br>thesis is that FCHP is not a passive geometric container but a coherence-active, anisotropic,<br>recursively structured phaspace whose intrinsic laws govern the emergence of organized form.<br>Within this framework, <strong>Noetherian Finsler Numbers (NFN)</strong> provide the quantized local units of<br>directed coherence topology, while the <strong>Coherence Directional Gradient (CDG)</strong> functions as the<br>primary organizing operator through which chirality, torsion, negentropic stabilization, and<br>irreversible emergence are structured.</p> <p>The paper establishes the conceptual and mathematical foundations required to show that life-capable organization is not accidental within such a space, but arises as an intrinsic stability regime of the topology itself. In this sense, Panspatial Genesis is presented not as a metaphor but as a theorem of structured coherence space.<br><br></p> |
| title | PANSPATIAL GENESIS The FCHP Mathematical Basis of Panspatial Genesis Finsler Coherence Hyperfractal Phaspace as the Generative Topology Of Life, Form and Dimensional Emergence |
| topic | biogenesis |
| url | https://doi.org/10.5281/zenodo.19212108 |