Eternal Universe Theory (EUT) Mirror Edition, the dual-sheeted spacetime U₁ ⊕ U₂ extends quantum mechanics to a Mirror-Quantum Theory

The Mirror Edition v0. 32 fuses a two-sheeted spacetime U₁ ⊕ U₂ with exact antisymmetry E (u₁, x) = –E (u₂, x) and a temperature-dependent ultralight axion-like particle (ALP) from EUT v5. 2. The ALP mediates inter-sheet tunneling via primordial Planck-scale PBH pairs as ER=EPR bridges, yielding self-regulated dark energy Λₑff = 8πG ⟨JE⟩ of observed magnitude. An early stiff phase (w = +1, ∼64 e-folds) ameliorates horizon/flatness problems without inflation. Late-time solitonic cores (1. 1–1. 8 kpc) match dwarf galaxy observations, with mild sextic self-interaction λ₆ ≈ 10⁻⁹⁴ ensuring superradiance compatibility (Nov 2025). The duality extends quantum mechanics to collapse-free Mirror-QM, resolving measurement via tunneling and linking Schrödinger spectrum to Riemann zeros as vibration modes (Appendix M). The model is eternal, singularity-free, information-preserving, zero total energy, and predicts testable w (z) deviations and void friction effects for Euclid/DESI/LSST. *extends QM to Mirror-Quantum Theory. Wavefunction antisymmetric: ψU₁ (x) = ψ (x), ψU₂ (x) = -ψ (1-x). Resolves measurement as tunneling (no collapse), links Schrödinger to Riemann zeros γⱼ as modes. Superposition physical until PBH-valve snaps (ER=EPR). Numerical: γ₁ ≈14. 1347 matches Hₘirror eig. <10^-6.