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

==== These are physically useful outcomes you can pursue: ====
# Mode frequencies: ωℓ=cℓ(ℓ+1)/r02+ms2\omega_{\ell} = c\sqrt{\ell(\ell+1)/r_0^2 + m_s^2}ωℓ=cℓ(ℓ+1)/r02+ms2. If the shell picture changes the “effective” msm_sms or r0r_0r0 compared to standard atomic models, small shifts in atomic spectral lines might be predicted.
# Multipole radiation patterns: Each shell mode couples preferentially to EM multipoles ℓ\ellℓ. If absorption/emission occurs dominantly at the shell, angular distributions of scattered light could carry signatures.
# Surface-localized scattering cross sections: If the interaction is truly surface-localized (thin shell), scattering amplitudes for photons interacting with atoms may differ slightly from bulk QED predictions — calculable by matching shell boundary conditions to standard QED scattering.
# Plasma / astrophysical scale: If shells exist at many scales (plasma cells, stellar shells), large-scale multipole structures and polarization signatures might be predicted in radio/optical astronomy (this is speculative but conceptually clear).