The Schrödinger Equation as a Theorem
Year: 2026
Type: preprint
Abstract: The Schrödinger equation iℏ · ∂ψ/∂τ = Ĥψ contains three elements that in standard quantummechanics are not derived but postulated: the imaginary unit i, the reduced Planck actionquantum ℏ, and the Hamiltonian operator Ĥ. This supplement shows that all three follow fromthe 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 theminimal action of the closed oriented rotation on Σ. The Hamiltonian Ĥ is directly the fossilenergy density operator ρ_hist. The Schrödinger equation is not a postulate - it is a theorem ofthe fossil causal structure.
Author: Wartenberg, Bodo
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161489253
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