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

==== I also solved for the required δ that makes the formula produce the observed GGG for each ν: ====

δreq  =  Gobs ℏ ν4πc3r0.\delta_{\rm req} \;=\; \frac{G_{\rm obs}\,\hbar\,\nu}{4\pi c^3 r_0}.δreq=4πc3r0Gobsℏν.
With r0=a0r_0=a_0r0=a0:
* ν = light-crossing → δ_req ≈ 3.5×10−433.5\times10^{-43}3.5×10−43 m
* ν = 1e8 → δ_req ≈ 3.9×10−533.9\times10^{-53}3.9×10−53 m
* ν = 1e12 → δ_req ≈ 3.9×10−493.9\times10^{-49}3.9×10−49 m
* ν = 1e15 → δ_req ≈ 3.9×10−463.9\times10^{-46}3.9×10−46 m

These required thicknesses are tiny — far smaller than the Planck length (ℓP≈1.62×10−35\ell_P\approx1.62\times10^{-35}ℓP≈1.62×10−35 m). Physically impossible in known physics. That means: for an atomic shell radius, you cannot get the right GGG with any plausible δ or ν that is not already Planckian or smaller.