ArXe Theory: Derivation of Maxwell’s Equations From U(1) Gauge Symmetry and Vectorial Quantum Field Version 1.0 – January 2025 Table of Contents Executive Summary Electromagnetic Potential Field Strength Tensor U(1) Gauge Symmetry Derivation of Maxwell Equations ArXe Structure and T^-5 Second Quantization Connection to Harmonic Oscillator Electromagnetic Waves Gauge Choices Interaction with Matter ArXe Deep Interpretation Predictions and Tests Implementation…