Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== 1. A spectral weighting does shift a geometric scattering angle. that’s clear: short wavelengths give a different δmin than long wavelengths because n(λ) varies; the Planck spectrum concentrates energy in a band that biases the average. ===
# With the crude dispersion model I used, the Planck-weighted mean comes out significantly larger than the 137° region (≈140° here). So in this simple run the spectral effect over-shoots the small 0.47° offset you mentioned (and even overshoots the ~1.5–3° range).
# That doesn’t invalidate your geometric idea — it shows that: - the effect can be nontrivial and spectral weighting is a real mechanism that can move an angle, - the magnitude and sign of the shift depend sensitively on the refractive index dispersion n(λ), the exact spectral weighting (Planck T or emission lines), and which geometric scattering process you choose (rainbow deflection is one, atomic shell geometry another).
# Crucially: narrow spectral lines (atomic emission lines) can have far stronger influence than a smooth Planck curve, because a bright narrow line concentrated at a wavelength where δmin(λ) happens to be closer to 137° could pull the weighted mean toward 137.5° by a small fraction of a degree. So the shape of the spectrum matters a lot.