ΨΛ vs real-world physics — comparisons without formulas

Summary

Concise matches between the ΨΛ Grid and established measurements: nuclear scales, energy trends, transition behavior, macroscopic gravity, and solar neutrino flux. No equations.

Validated points

• Atomic scale: the logical step ranks with observed nuclear radii across H, He, Fe, U. Correct trend over the tested table.
• Energy and nuclear density: energy scale rises from light to heavy nuclei, with a stability peak near iron and higher potential energy toward uranium.
• Transitions / logical heat: heavy nuclei show higher transition rates, consistent with greater energy release.
• Macroscopic gravity: from the same identifiers, the grid retrieves g ≈ 9.8 m/s² for Earth and g ≈ 274 m/s² for the Sun.
• Solar neutrino flux: prediction ~6.3×10¹⁰ cm⁻²·s⁻¹, matching the reference ~6.4×10¹⁰ cm⁻²·s⁻¹.

Why it matters

• Scale continuity: one logical frame from nucleus to stars.
• Verifiability: each point compares to a measurement or reference.
• Transfer: solid base for applied modules in materials, spectroscopy, and astrophysics.

Limits

• Fine effects (pressure, fields, isotopes) need dedicated modules.
• Results provide robust orders of magnitude. Critical use needs quantified uncertainties and instrument calibration.

Next steps

1. Publish numeric residuals and uncertainty bands per observable.
2. Open a query API (radius/energy/gravity/flux) for external audits.
3. Extend validation to more element families and extreme environments.

Comparaison Grille Physique.pdf