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

==== If you want to keep exploring this route, here are ways to refine the calculation and make it more physically grounded: ====
# Introduce an event rate — many shell events per second per atom. I used one event's energy per one shell volume. If many events occur per second and aggregate over a volume, you can define a steady energy density uuu. That changes the final numeric factor and may connect atomic activity to macroscopic energy density.
# Collective / cosmological aggregation — use QAT to estimate the total QAT energy density of the universe (integrating per-atom events across matter and radiation). Then insert that cosmic uuu into the same Einstein scaling to solve for GGG (Dirac/Mach flavored approach).
# Use a different characteristic radius — if QAT has a fundamental length scale (derived geometrically), use that. The calculation shows that unless that scale is Planckian, you won't get the observed GGG by this simple matching.
# Model the shell localization more precisely — instead of smearing E0E_0E0 into the entire sphere volume, consider a thin shell energy density (surface energy), or a distribution that falls off with radius; then redo the matching carefully (boundary terms change prefactors).
# Try a dimensionless (geometric) route — if QAT predicts a dimensionless ratio that links electron/proton masses to a cosmological mass, that could be used along with measured values to infer GGG. That’s the Dirac/Large Number route.