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

==== 1. Local atomic-scale shells don’t produce G. Using the Bohr radius for r0r_0r0, realistic δ and ν produce GestG_{\rm est}Gest many orders of magnitude too large. There is no straightforward way to get the observed GGG from single-atom surface deposition at atomic scales unless you introduce unphysical thicknesses far below Planck length or implausibly high event rates. ====
# Planck scale naturally appears. If the model is to produce the observed GGG without introducing new free numbers, either: - the characteristic length or thickness in the QAT mechanism must be Planckian, or - the QAT effect must aggregate across enormous numbers of atoms/volume in a cosmological way such that the collective energy density is tiny enough to give the observed curvature (the Dirac/Mach route).
# Using Planck time or Planck length directly is circular if your goal is to derive GGG, because ℓP and tP themselves depend on GGG. You can use them to check self-consistency, but you can't deduce GGG by assuming them.