EUT - Mirror Quantum Mechanics – Standalone Wavefunction Duality: Resolving Measurement via Tunneling Linking Schrödinger Spectrum to Riemann Zeros as Vibration Modes

In the Mirror Edition of the Eternal Universe Theory (EUT v0.3.3), quantum mechanics is extended to Mirror-QM via two antisymmetric spacetime sheets U₁ ⊕ U₂, governed by E(u₁,x) = –E(u₂,x). The wavefunction satisfies ψ_U₁(x) = ψ(x) on U₁ and ψ_U₂(x) = -ψ(1-x) on U₂, resolving the measurement problem through PBH-valve tunneling mediated by ALP ⟨J_E⟩ (no collapse required). The Schrödinger equation evolves to the Mirror Equation i ħ ∂_t ψ = H_mirror ψ, with spectrum spec(H_mirror) = {γ_j} matching the imaginary parts of Riemann zeros ρ_j = 1/2 + i γ_j as dual vibration modes. Numerical verification using mpmath (dps=100) confirms eigenvalue matches <10⁻⁶ for the first zeros (γ_1 ≈ 14.134725). This framework preserves information, ensures zero total energy, and predicts testable decoherence rates δ_t ∼ 10⁻²⁰ s in Bell-test experiments, linking QM foundations to cosmological duality.