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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20042320 |
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| _version_ | 1866901445830246400 |
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| author | DE DOMINICIS, BRUNO |
| author_facet | DE DOMINICIS, BRUNO |
| contents | <p>Experimental data for atomic masses (AME2020), ionization energies (NIST), covalent bond energies, semiconductor band gaps, DNA base pairs, protein interactions, fundamental biochemical reactions, as well as the training of a ternary neural network, admit a compact arithmetic representation of the form:<br> $$E = \Lambda \cdot 4^{m} \cdot \sum_{k=0}^{14} \varepsilon_k \beta_k$$<br> where $\Lambda$ is a scale constant (7.726 MeV for masses, 5.950 eV for chemistry and biology), $m$ an integer, $\varepsilon_k \in \{-1,0,1\}$, and $\beta_k$ are 15 universal constants of empirical origin. For 5811 ionization energies, the mean relative error is 0.00065% and 78.5% of the points are predicted with an error better than 0.001%. The mean relative error for 295 nuclear masses is 0.0287%. The $\beta_k$ numerically coincide with 15 of the 48 non‑degenerate roots of the exceptional lattice $\Lambda_{72}$, suggesting a deep geometric link that remains to be elucidated. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20042320 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Arithmetic unification of masses and energies in physics, chemistry, biology and artificial intelligence via the exceptional lattice $\Lambda_{72}$ DE DOMINICIS, BRUNO nuclear masses ionization energies covalent bonds DNA proteins ATP lattice $\Lambda_{72}$ arithmetic quantization ternary code artificial intelligence <p>Experimental data for atomic masses (AME2020), ionization energies (NIST), covalent bond energies, semiconductor band gaps, DNA base pairs, protein interactions, fundamental biochemical reactions, as well as the training of a ternary neural network, admit a compact arithmetic representation of the form:<br> $$E = \Lambda \cdot 4^{m} \cdot \sum_{k=0}^{14} \varepsilon_k \beta_k$$<br> where $\Lambda$ is a scale constant (7.726 MeV for masses, 5.950 eV for chemistry and biology), $m$ an integer, $\varepsilon_k \in \{-1,0,1\}$, and $\beta_k$ are 15 universal constants of empirical origin. For 5811 ionization energies, the mean relative error is 0.00065% and 78.5% of the points are predicted with an error better than 0.001%. The mean relative error for 295 nuclear masses is 0.0287%. The $\beta_k$ numerically coincide with 15 of the 48 non‑degenerate roots of the exceptional lattice $\Lambda_{72}$, suggesting a deep geometric link that remains to be elucidated. </p> |
| title | Arithmetic unification of masses and energies in physics, chemistry, biology and artificial intelligence via the exceptional lattice $\Lambda_{72}$ |
| topic | nuclear masses ionization energies covalent bonds DNA proteins ATP lattice $\Lambda_{72}$ arithmetic quantization ternary code artificial intelligence |
| url | https://doi.org/10.5281/zenodo.20042320 |