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

This is a Standalone Framework EUT 8.8.8

Updated to Version EUT 10.0.0 https://zenodo.org/records/18039463

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 incorporates quantum gravity through LQG-regulated Planck-scale discretization and correlated foam noise (heartbeat dynamics), variable gravitation G(ϕ, T ), temperature-dependent coupling λ(ϕ, T ), and primordial black holes (PBHs) as structure seeds. The Mirror Edition posits two-sheeted spacetime U 1 b ⊕U 2 b per bubble b with antisymmetry E(u 1 b ,x) = −E(u 2 b , x), yielding zero total energy, singularity resolution, and information preservation. U2 serves as the vacuum background reservoir (−E(u 2 b , x) < 0), where emergent negative energy fluctuations (ρ vacuum,U2,b < 0) arise from η-biased quantum foam. PBH pairs as ER=EPR bridges derive Λ eff,b = 8πG⟨J E,b ⟩ (entropic 1/S ≈ 10 −120 ). Asymmetric sheets (E − < 0, antimatter-dominant emergent; E + > 0, matter-dominant) exchange holographic information via ϕ a -tunnels and energy (η ∼ 10 −20 eV), spawning infinite bubbles through quantum interference and recursive void-bounces. Void-in-void crunches θ(|ρ vacuum,U2,b |−ρ crit )δ crunch,b ρ c (ρ crit ∼ 10 −25 kg/m 3 ) drive emergent exotic bubbles (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) features drags ∆m 2b ∼ 0.05 eV 2 . A global stiff phase (w = +1, ∼ 64 e-folds) yields solitonic cores (1.1–1.8 kpc) via λ 6 ≈ 10 −94 , with Hawking reversal T u 2 b H=
−T u 1 b H sign(U b ). Without inflatons, EUT resolves accelerated expansion, early galaxy formation (JWST Cycle 3, 2025), and Hubble tension (H 0 ≈ 73 local vs. 67 CMB). Simulations confirm oscillatory cycles and entropy stabilization. Appendix B delivers a spectral proof linking Frank field dynamics to the Riemann Hypothesis via quantum foam statistics, with GOE confirmation.