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| Format: | Recurso digital |
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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17612948 |
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| _version_ | 1866901222444761088 |
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| author | Ojeda, jaime |
| author_facet | Ojeda, jaime |
| contents | <p><span>This Research Note proposes a structural explanation for the long-observed 7920 symmetry in the genetic code.</span></p> <p><span>Independent analyses (Morris, 2013–2019) show that the total proton–neutron count of the 64 DNA codons equals </span><span>7920</span><span>, a value that matches the combinatorial identity </span><span>11! ⁄ 7!</span><span>.</span></p> <p><span>This addendum extends </span><span>The Oxygen Octave</span><span> by proposing that this number is not numerological, but arises from </span><span>oxygen-driven symmetry reduction</span><span> in nucleic-acid geometry.</span></p> <p><span>The note identifies:</span></p> <ul> <li> <p><span>11 effective geometric degrees of freedom</span><span> in nucleotide structure</span></p> <p><span>(ribose puckering, base orientation, phosphate torsion, hydration geometry, etc.)</span></p> </li> <li> <p><span>7 oxygen-imposed constraints</span></p> <p><span>(hydrogen-bond directionality, carbonyl planarity, water tetrahedrality, phosphate symmetry, backbone linkage constraints, hydration-dihedral locks, and electrostatic funneling)</span></p> </li> </ul> <p><span>Together, these reduce an 11-dimensional molecular configuration space to </span><span>11!/7! = 7920 admissible states</span><span>, matching the codon mass-symmetry result.</span></p> <p><span>The proposal frames oxygen as a </span><span>geometric regulator</span><span> of biological information spaces, consistent with vibrational invariants established in </span><span>The Oxygen Octave</span><span>. It also outlines testable predictions for molecular-dynamics simulations and codon-geometry analyses.</span></p> <p><span>This publication formally registers conceptual priority for the oxygen-constrained DOF model of codon symmetry.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17612948 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | ADDENDUM — Oxygen-Constrained Degrees of Freedom and the 7920 Codon Symmetry Ojeda, jaime <p><span>This Research Note proposes a structural explanation for the long-observed 7920 symmetry in the genetic code.</span></p> <p><span>Independent analyses (Morris, 2013–2019) show that the total proton–neutron count of the 64 DNA codons equals </span><span>7920</span><span>, a value that matches the combinatorial identity </span><span>11! ⁄ 7!</span><span>.</span></p> <p><span>This addendum extends </span><span>The Oxygen Octave</span><span> by proposing that this number is not numerological, but arises from </span><span>oxygen-driven symmetry reduction</span><span> in nucleic-acid geometry.</span></p> <p><span>The note identifies:</span></p> <ul> <li> <p><span>11 effective geometric degrees of freedom</span><span> in nucleotide structure</span></p> <p><span>(ribose puckering, base orientation, phosphate torsion, hydration geometry, etc.)</span></p> </li> <li> <p><span>7 oxygen-imposed constraints</span></p> <p><span>(hydrogen-bond directionality, carbonyl planarity, water tetrahedrality, phosphate symmetry, backbone linkage constraints, hydration-dihedral locks, and electrostatic funneling)</span></p> </li> </ul> <p><span>Together, these reduce an 11-dimensional molecular configuration space to </span><span>11!/7! = 7920 admissible states</span><span>, matching the codon mass-symmetry result.</span></p> <p><span>The proposal frames oxygen as a </span><span>geometric regulator</span><span> of biological information spaces, consistent with vibrational invariants established in </span><span>The Oxygen Octave</span><span>. It also outlines testable predictions for molecular-dynamics simulations and codon-geometry analyses.</span></p> <p><span>This publication formally registers conceptual priority for the oxygen-constrained DOF model of codon symmetry.</span></p> |
| title | ADDENDUM — Oxygen-Constrained Degrees of Freedom and the 7920 Codon Symmetry |
| url | https://doi.org/10.5281/zenodo.17612948 |