Atomic Valence as an Informational Symmetry Problem: A Topological Model Based on Harmonic Proportions
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| Sprache: | Englisch |
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2025
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| _version_ | 1866902320549199872 |
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| author | Mata Sanchez, Luis Diego |
| author_facet | Mata Sanchez, Luis Diego |
| contents | <p>Chemical periodicity is heuristically grounded in the octet rule, yet the topological reason why specific configurations (like s2p2 or s2p6) represent critical stability nodes remains distinct from pure energetic descriptions.</p> <p>This paper proposes a phenomenological model based on Information Topology. We postulate that valence stability is driven by the minimization of "relational tension" between the projection mode (s) and the confinement mode (p).</p> <p>We introduce the Harmonic Weight (P), defined as the sum of the terms of the irreducible fraction Ns:Np. Analysis of Periods 2 and 3 reveals a strict hierarchy linking number theory to chemical behavior:</p> <ul> <li> <p>Harmonic Redundancy (P=2^n): Configurations summing to powers of 2 (e.g., s2p6 -> P=4) represent closed information loops, manifesting as chemical inertness or high structural stability.</p> </li> <li> <p>Topological Tension (P=Prime)<strong>:</strong> Configurations summing to prime numbers (3, 5, 7) represent irreducible information states. This asymmetry physically manifests as electronegativity and reactivity, driving the system toward closure.</p> </li> </ul> <p>This framework offers a novel heuristic linking Number Theory to Chemical Topology, suggesting that reactivity is the system's drive to restore binary information symmetry.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17744063 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Atomic Valence as an Informational Symmetry Problem: A Topological Model Based on Harmonic Proportions Mata Sanchez, Luis Diego Chemical Periodicity Information Topology Harmonic Partition, Prime Numbers , Valence Bond Theory, Geometric Resonance <p>Chemical periodicity is heuristically grounded in the octet rule, yet the topological reason why specific configurations (like s2p2 or s2p6) represent critical stability nodes remains distinct from pure energetic descriptions.</p> <p>This paper proposes a phenomenological model based on Information Topology. We postulate that valence stability is driven by the minimization of "relational tension" between the projection mode (s) and the confinement mode (p).</p> <p>We introduce the Harmonic Weight (P), defined as the sum of the terms of the irreducible fraction Ns:Np. Analysis of Periods 2 and 3 reveals a strict hierarchy linking number theory to chemical behavior:</p> <ul> <li> <p>Harmonic Redundancy (P=2^n): Configurations summing to powers of 2 (e.g., s2p6 -> P=4) represent closed information loops, manifesting as chemical inertness or high structural stability.</p> </li> <li> <p>Topological Tension (P=Prime)<strong>:</strong> Configurations summing to prime numbers (3, 5, 7) represent irreducible information states. This asymmetry physically manifests as electronegativity and reactivity, driving the system toward closure.</p> </li> </ul> <p>This framework offers a novel heuristic linking Number Theory to Chemical Topology, suggesting that reactivity is the system's drive to restore binary information symmetry.</p> |
| title | Atomic Valence as an Informational Symmetry Problem: A Topological Model Based on Harmonic Proportions |
| topic | Chemical Periodicity Information Topology Harmonic Partition, Prime Numbers , Valence Bond Theory, Geometric Resonance |
| url | https://doi.org/10.5281/zenodo.17744063 |