Chapter 21: Gauge Invariance and the τ-Maxwell Equations

What IS electric charge? Not a mysterious property stuck to particles, but holonomy—the phase accumulated when transporting around loops in τ³. And what ARE Maxwell’s equations? Not postulates, but the curvature equations of the U(1) connection on the B-sector of 𝕃. This chapter shows how gauge invariance emerges from the lemniscate boundary 𝕃=S¹∨ S¹, identifies the AB boundary as the interface between the electromagnetic B-sector (γ-generator) and the weak A-sector (π-generator), then derives all four Maxwell equations from the holomorphic structure of τ³.