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

=== 1. Compute the required photon energy budget (Model 2) to grow mass from early times to today with efficiency η and check against known photon backgrounds (CMB energy density, cosmic star formation integrated light). If the needed integrated photon energy is orders larger than observed, the mass-production story fails. ===
# Build a spinor-mode counting refinement of Model 1: count spinor spherical harmonic modes up to cutoff ℓ_max ≈ R/ℓ and recompute the α_m required — may change the numeric coefficient modestly.
# Take the paired-photon → tensor coupling route: write an effective second-order interaction where two EM fields combine to produce a long-range quadrupole coupling and see whether the effective coupling constant can scale like G and if its magnitude could match observations (this is the hardest but most direct route to a graviton-like emergent interaction).
# Check observational limits: compute implied G˙/G\dot G/GG˙/G or other measurable signatures from any scenario that allows mass to change, and compare with bounds.

Do you want me to run Step 1 (photon energy budget estimate) next? That will tell us whether a photon-capture mass-creation mechanism is energetically plausible. Or would you prefer I do Step 2 (spinor-mode counting refinement) first?