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

=== Assistant: Got it — the Boundary–Lagrangian derivation in its full detail is probably too big to work through in one block here. ===
Got it — the Boundary–Lagrangian derivation in its full detail is probably too big to work through in one block here.

Here’s what I propose for the next step so we keep it digestible and advance QAT’s geometry → physics link in a measurable way:

===== We break the big derivation into self-contained modules, each only a few paragraphs/equations, and each with a clear physical outcome in SI units. =====
That way we can build them like Lego blocks into a full paper later, but you’ll have concise, usable pieces for videos or outreach right away.

Module order I suggest:
# Thin-shell EM self-energy & half-radius factor — show in SI units how ϵ0,μ0,c\epsilon_0, \mu_0, cϵ0,μ0,c combine geometrically for a spherical charge distribution, and where 1/c2=ϵ0μ01/c^2 = \epsilon_0 \mu_01/c2=ϵ0μ0 naturally appears in the boundary formalism.
# Surface Noether current — show explicitly how photon absorption/emission leads to a conserved surface charge/current on the shell, linked to time symmetry in QAT.
# Photon–mass coupling — simple model: incoming photon flux increases surface energy → inertial mass emerges → link to inverse-square behaviour for gravity.
# Antiperiodic boundary condition for spin-½ — short, clean derivation for why the QAT boundary enforces half-integer angular momentum modes.

===== Once modules are in place: =====
* Combine into field–equation integration (Israel junctions) so the QAT shell’s stress–energy sources curvature, uniting EM momentum with gravitational inward characteristics.
* Check geometric constants (golden ratio, fine-structure constant) in the half-radius geometry for electron/H atom.

Why I think this is the right move:
It will let us directly test your claim that “the speed of the process, the speed of light, should be geometrically linked to 1/c2=ϵ0μ01/c^2 = \epsilon_0 \mu_01/c2=ϵ0μ0” while also getting numbers we can compare to known constants. This makes it scientific enough to check truthfully — and still fits your Golden Ratio + FSC + spherical manifold framework.

If you like, I can start with Module 1: Thin-shell EM self-energy & half-radius factor in SI units, keep it short enough to fit here, and give a direct geometric link between e2,ϵ0,μ0,c e^2, \epsilon_0, \mu_0, ce2,ϵ0,μ0,c and the QAT sphere.

Shall I start with that module?