Structural Validation of a Ternary Nuclear Binding Functional

This technical note provides an extended numerical and structural validation of a ternary nuclear binding functional tested on the AME2020 dataset (2336 nuclei). The document is intended as a complementary validation summary, discussing robustness, residual structure, and physical implications, and is not presented as a peer-reviewed article. It serves as a technical companion to the related preprint “Evidence for Internal Ternary Geometry in Nuclear Binding Energies” DOI: 10.5281/zenodo.17847017, focusing specifically on validation tests and structural diagnostics. Interactive numerical exploration is available on the J3 ATOMIC platform: https://www.j3atomic.com In Free Low-Res mode, the calculation reproduces exactly the function (Eq. 11) from the preprint:Evidence for Internal Ternary Geometry in Nuclear Binding Energies — https://doi.org/10.5281/zenodo.17847017 In High-Res mode (contractual), the platform extends this formalism for deterministic calculations, with a global precision on the order of:RMS ≈ 0.002625 eV/n (per nucleon) Direct precision verification is available at:https://www.j3atomic.com → LABORATORY → VERIFY PRECISION The probability that a formula depending exclusively on Z and N would reproduce exactly the first 8 significant digits for all 3558 nuclei in AME2020 is ≈ 10⁻²⁸⁴⁶⁴; this result strongly refutes the hypothesis of a global overfit. The platform provides a demonstrative and exploratory implementation of the formalism and parameter set described in this preprint, intended to illustrate the structure of the model and its qualitative behaviour across the nuclear chart. Also available on Figshare: https://doi.org/10.6084/m9.figshare.30876650