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

=== Two remarks that link QAT’s emphasis on spherical geometry to conformal structure: ===
# Maxwell’s equations in vacuum (no sources) are conformally invariant in 4 spacetime dimensions: if gμν→Ω2gμνg_{\mu\nu}\to\Omega^2 g_{\mu\nu}gμν→Ω2gμν, then FμνF_{\mu\nu}Fμν transforms naturally and the source-free equations keep the same form. This makes the 4πr² spherical foliation especially natural — conformal maps preserve light cones and null-surface structure (what photons follow). So spherical lightfronts and the idea of information/energy carried on nested 4πr² shells fit cleanly into conformal geometry.
# Adding sources (charges/currents) breaks exact conformal invariance (because charge carries dimension), but the geometric structure remains useful: the surface source appears as a delta-layer in the conformal manifold and transforms in a controlled way. Conformal thinking helps when relating local surface dynamics (on S2S^2S2) to radiation fields at null infinity — that is a natural language for analyzing how a sequence of boundary events (photon absorption/emission) produces outgoing spherical radiation.

So QAT’s focus on spherical shells meshes well with the conformal properties of Maxwell theory and the causal role of lightfronts.