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

==== 1. Concrete numerical check (done above): show that G=ℏc/mP2G=\hbar c/m_P^2G=ℏc/mP2 gives the observed value when mPm_PmP is the Planck mass. ✔︎ ====
# If you want me to attempt a QAT-style derivation of a mass scale from your geometry, I can try that next. But I’ll need to pick a specific physical ansatz (example options): - Option 1: Assume each photon-electron event deposits an average energy E0E_0E0 onto a shell of radius r0r_0r0; compute an effective energy density and match to curvature to solve for GGG. - Option 2: Follow a Dirac/Mach path: relate total energy in the universe (expressed via QAT photon budget) to the mass scale and derive G∝1/tG\propto 1/tG∝1/t. - Option 3: Try to express a Planck-like mass purely from geometric constants (α, ϕ, golden ratio, electron charge e, electron mass m_e) and see if a numerically close value emerges (this is often numerology — possible but risky).
# Recommend a cautious program: start with Option 1 (surface energy density → match to curvature) because it most directly follows your QAT picture and yields physical testable intermediate quantities (event energy, event rate, spectral signatures).

Would you like me to proceed with Option 1 and attempt a concrete QAT calculation of an effective energy density and the implied GGG? If so, tell me what QAT parameter you want to use or let me pick reasonable starting values (e.g., electron shell radius ~ Bohr radius, typical photon frequency ~ visible/UV, etc.), and I’ll do the step-by-step computation.