Eternal Universe Theory (EUT) - Multiverse Mirror Cosmology E(u 1 b )=−E(u 2 b ) (per Bubble b)

The Eternal Universe Theory (EUT) v8.8.8 unifies a minimalist cyclic cosmology driven by a single normalized scalar field ϕ = φ/m Pl (Frank field) with a dual asymmetry mirror framework. It integrates quantum gravity via LQG-regulated Planck-scale discretization and correlated foam noise (heartbeat dynamics), variable gravitation G(ϕ, T ), temperaturedependent coupling λ(ϕ, T ), and primordial black holes (PBHs) as structure seeds. The Mirror Edition introduces two-sheeted spacetime U 1 b ⊕U 2 b per bubble b with antisymmetry E(u 1 b ,x)=−E(u 2 b , x), deriving zero total energy, singularity resolution, and information preservation. PBH pairs as ER=EPR bridges yield Λ eff,b = 8πG⟨J E,b ⟩ (entropic 1/S ≈ 10 −120 ). Asymmetric sheets (E − < 0, anti-dominant; E + > 0, matter-dominant) exchange “sight” (holographic info via ϕ a -tunnels) and energy (η ∼ 10 −20 eV), spawning infinite bubbles from interference. Void-in-void bounces θ(ρ PBH,b −ρ crit )δ bang,b ρ c (ρ crit ∼ 10 −25 kg/m 3 ) enable emergent exoticism (H 0,b ≈ 70 ± 3 km/s/Mpc). Sterile neutrino fuzzy DM (m s ∼ 3 keV, sin 2 (2θ b ) ∼ 10 −10 , Ω ν s ,b h 2 ≈ 0.12) with drags ∆m 2b ∼ 0.05 eV 2 . Global stiff phase (w = +1, ∼ 64 e-folds); solitonic cores (1.1–1.8 kpc) via λ 6 ≈ 10 −94 . Hawking reversal T u 2 b
H = −T u 1 b
H sign(U b ). Without inflatons, EUT explains accelerated expansion, early galaxy formation (JWST 2025), Hubble tension resolution (H 0 ≈ 73 local vs. 67 CMB), and reduces tensions. Numerical simulations show oscillatory cycles and entropy stabilization. **Appendix B provides a spectral proof connecting Frank field dynamics to the Riemann Hypothesis via quantum foam statistics, with GOE confirmation.**