The Schrödinger Equation as a Theorem

The Schrödinger equation iℏ · ∂ψ/∂τ = Ĥψ contains three elements that in standard quantum mechanics are not derived but postulated: the imaginary unit i, the reduced Planck action quantum ℏ, and the Hamiltonian operator Ĥ. This supplement shows that all three follow from the fossil causal structure. The phase boundary surface Σ ={x ∈ M | t_m(x) · t_C(x) / t_P² = −1} delivers i through the sign change of the metric time. The action quantum ℏ follows as the minimal action of the closed oriented rotation on Σ. The Hamiltonian Ĥ is directly the fossil energy density operator ρ_hist.The Schrödinger equation is not a postulate - it is a theorem of the fossil causalstructure.