EUT - Temperature-Dependent Ultralight Scalar Cosmology Early Stiff Phase and kpc-Scale Dwarf Galaxy Cores with Mild Self-Interactions

The Eternal Universe Theory (EUT) proposes a minimalist framework for an eternal, cyclic universe driven by a single normalized scalar field ϕ = φ / m_Pl (Frank field), which triggers dark matter formation by binding Hawking-emitted antineutrinos (primed by PBHs via effective ψ̄ψ_eff) and quantum-fluctuation pairs in cosmic voids. By integrating quantum gravity through LQG-regulated Planck-scale discretization (sin²-cutoff) and correlated foam noise (heartbeat dynamics), EUT avoids singularities, unifies dark matter with gravitational effects, and resolves entropy accumulation through PBH evaporation and cyclic dilution. The model incorporates variable gravitation G(ϕ,T), a smooth temperature-dependent coupling λ(ϕ,T) with tanh-switch, and primordial black holes (PBHs) as structure seeds, stabilized by Hawking-delay and limited to ~10^{15} for consistency. Without inflatons or additional meta-fields, EUT explains accelerated expansion, early galaxy formation (consistent with 2025 JWST data on massive galaxies at z>10 and 'little red dots' as potential PBH seeds with masses ~50 million solar masses), and reduces tensions like the Hubble constant discrepancy (H₀=73.04±1.04 km/s/Mpc local vs. 67.4±0.5 from CMB). Numerical simulations demonstrate oscillatory cycles ("breathing" phases), rhythmic PBH seeding from foam, and observables such as modified rotation curves, CMB anisotropies with ISW suppression, and entropy stabilization. Validated against 2025 data from EHT (showing polarization flips in M87*), Planck PR4 (with reduced low-l anomaly), and Bullet Cluster, this version (3.6) refines PBH dynamics with φ-induced collapse, integrates LQG for UV-damping, normalizes φ for dimensional consistency, uses tanh-switch for smooth T-gating, integrates PBH via ψ̄ψ_eff, and derives η/κ from α to minimize fine-tuning.

this V3.6.1 is updated with Riemann solve. Original V3.6.1 Version : https://zenodo.org/records/17556224

Eternal Universe Theory – Multiverse Mirror Cosmology Version 10.0.0

https://zenodo.org/records/18039463