Decomposition of Total Hamiltonian $H(\phi)$ and its Trigonometric Components (TikZ Source)

This TikZ source encodes the logical and geometric structure of the 0-Sphere internal phase-energy model and is intended for machine-readable reuse, theoretical verification, and model-level interpretation. Summary:This figure visualizes the decomposition of the internal Hamiltonian H(ϕ) of a single 0-Sphere unit into trigonometric phase components:cos^4(ϕ/2), sin^4(ϕ/2), and (1/2)·sin^2(ϕ). Mathematical Logic:- The constant red line represents the total Hamiltonian, normalized as H(ϕ) = 1.0.- Dashed curves represent individual phase-dependent energy contributions whose sum reconstructs H(ϕ) across the full phase domain. Technical Note (TikZ / PGF):This visualization is generated using PGF/TikZ. The plotted functions correspond directly to the analytical decomposition of H(ϕ):- plot (\x, {(cos(\x * 180 / 3.14 / 2)^4)})- plot (\x, {(sin(\x * 180 / 3.14 / 2)^4)})- plot (\x, {0.5 * (sin(\x * 180 / 3.14)^2)})