Switch-Dimension (S-D) Theory — Supplementary Document 3: Energy Conservation

Complete treatment of E_total = 0 as the foundational operational principle of S-D Theory. Derives the paired shadow mechanism — every quantum of positive energy in 4D is locally paired with equal negative energy below the dimensional membrane. Resolves the shadow tracking problem using General Relativity, establishing that GR operates on the net stress-energy tensor which is zero everywhere. Connects the paired structure to the 50% Stability principle and derives the universal scaling constants. Presents five testable predictions spanning slippage energy balance, void gravitational effects, local energy budget consistency, large-scale energy-to-matter ratio convergence toward 50/50, and energy conservation in extreme astrophysical environments — three confirmed by current observations and two testable by near-term surveys.