Summary
We validated 100 atomic spectral lines across key elements. The ΨΛ V4 Grid maps each atom to a logical signature and checks whether expected transitions align with observed wavelengths. The matches are consistent and tight across families.
What we tested
Hydrogen (Lyman and Balmer series), Helium (He I/II), Sodium (D lines and UV/IR), Alkali and alkaline-earths (K, Ca, Mg), Iron multiplets (Fe I/II), light elements (O, N, C), noble gases (Ne, Ar, Kr, Xe), and transition metals (Cu, Zn, Ag, Au).
How it works (no formulas)
- Assign a compact signature to each atomic state.
- Compare initial→final state motifs to derive a compatibility score.
- Rank predicted wavelengths and check against reference spectra.
Results
Hydrogen Lyman-α and Balmer-α land within a few 10⁻² %. He II lines, Na D1/D2, Ca II H&K, Mg I 285.2 nm, Fe I visible multiplets, and noble-gas lines all fall within sub-percent error. Aggregate: 100/100 validated within ≤0.5 %.
Why it matters
- Calibration: anchors ΨΛ V4 to atomic reality.
- Generalization: one method fits H through Au without per-element tweaks.
- Downstream use: supports stellar spectroscopy, plasma diagnostics, and materials sensing.
Limits
Line positions shift with pressure, temperature, fields, and isotope/hyperfine structure. Validation used standard references; extreme environments require explicit broadening models.
Next steps
- Extend to fine/hyperfine splitting and Zeeman/Stark patterns.
- Publish per-line residuals and uncertainty bands.
- Release a small API to query predicted vs. observed wavelengths by element and transition.