Arithmetic unification of masses and energies in physics, chemistry, biology and artificial intelligence via the exceptional lattice Λ₇₂

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: E = Λ · 4ᵐ · ∑ₖ₌₀¹⁴ εₖ βₖ where Λ is a scale constant (7.726 MeV for masses, 5.950 eV for chemistry and biology), m an integer, εₖ ∈ \-1,0,1\, and βₖ 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 βₖ numerically coincide with 15 of the 48 non‑degenerate roots of the exceptional lattice Λ₇₂, suggesting a deep geometric link that remains to be elucidated.