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

===== Dirac’s large ratio typically written as =====

e24πε0Gmp2∼N1/2.\frac{e^2}{4\pi\varepsilon_0 G m_p^2} \sim N^{1/2}.4πε0Gmp2e2∼N1/2.
If QAT gives a geometric way to compute the effective gravitational coupling GeffG_{\rm eff}Geff from photon–electron surface interactions, one could posit

Geff(t)  ∼  e24πε0mp2 1N(t),G_{\rm eff}(t)\;\sim\;\frac{e^2}{4\pi\varepsilon_0 m_p^2}\,\frac{1}{\mathcal{N}(t)},Geff(t)∼4πε0mp2e2N(t)1,
with N(t)∼(ct/ℓ)2\mathcal{N}(t)\sim (c t/\ell)^2N(t)∼(ct/ℓ)2. Then Geff∝1/t2G_{\rm eff}\propto 1/t^2Geff∝1/t2 or (with different counting) Geff∝1/tG_{\rm eff}\propto 1/tGeff∝1/t depending on the model, producing Dirac-style scalings.

Strengths: Directly ties gravity’s strength to global surface geometry.
Weaknesses: Observations place strong constraints on G˙/G\dot G/GG˙/G; typical allowed variation is very small (current limits ~10⁻¹³–10⁻¹⁴ /yr). Any QAT-derived time-dependence would need to respect those constraints.