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 ψU₁ (x) = ψ (x) on U₁ and ψU₂ (x) = -ψ (1-x) on U₂, resolving the measurement problem through PBH-valve tunneling mediated by ALP ⟨JE⟩ (no collapse required). The Schrödinger equation evolves to the Mirror Equation i ħ ∂ₜ ψ = Hₘirror ψ, with spectrum spec (Hₘirror) = γⱼ matching the imaginary parts of Riemann zeros ρⱼ = 1/2 + i γⱼ as dual vibration modes. Numerical verification using mpmath (dps=100) confirms eigenvalue matches <10^-6 for the first zeros (γ₁ ≈ 14. 134725). This framework preserves information, ensures zero total energy, and predicts testable decoherence rates δₜ ∼ 10^-20 s in Bell-test experiments, linking QM foundations to cosmological duality.