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