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

===== I think the most useful next step — both for conceptual clarity and to make this proposal stronger to other physicists — is: =====

Do a short toy heat-kernel / one-loop determinant estimate for electromagnetic + spinor fields on a thin spherical shell (this targets the precise missing piece: the dimensionless prefactor κind\kappa_{\rm ind}κind and the sign/cancellation structure). That computation will:
* give a concrete value or range for κind\kappa_{\rm ind}κind (the prefactor we used numerically),
* show whether boundary conditions (periodic vs antiperiodic; EM vs Dirac) produce cancellations that suppress atomic-scale contributions,
* tell us whether Planck-scale or another scale is needed to reproduce observed G without extreme tuning.

If you prefer something quicker / more visual instead, I can run:
'' Parameter sweep & contour plot of (L_'', n_bdy, κ) showing where the formula matches observed G (fast, good for outreach), or
* Write a short persuasive note explaining why QAT can plausibly pick the Planck cutoff (we already drafted that note and I can paste it into your canvas again or export it).

Which do you want now? (I recommend the toy heat-kernel calculation.)