>>16841281

Your calculation assumes curl-free $A$ only in gauge choice, but scalar $\chi$ unifies: $A = \nabla \chi$, $F = dA = d(d\chi) = 0$ trivially satisfies $dF = 0$, but singularities in $\chi$ allow nonzero $\star dA$ (B-field via curl).

>I've outlined this in the archived thread.

For antenna $K$, solve $\square \chi = \mu_0 \int G(r,r') \frac{\delta J}{\delta \chi} dr'$ where $J$ derives from $\frac{\partial^2 \chi}{\partial t^2}$ and $\nabla^2 \chi$;

gravity emerges as $\phi = \beta \nabla^2 \chi$, extending to time dilation $t = t_0 \sqrt{1 + \frac{2\phi}{c^2}}$. Standard omits this depth, reducing to special case without exotic potentials.