The Evaporating Universe I: A Constituent Law of the Cosmic Evolution

The Evaporating Universe I: A Constituent Law of the Cosmic Evolution ABSTRACT: We present the Evaporating Universe (EU), a cosmological model where dark matter gradually converts into dark energy through a scalar field φ coupled to neutrinos. The model has zero free parameters — all quantities are derived from fundamental physics. A single dimensionless parameter ε = 0.0598 controls both the evaporation rate (Γ = εH) and neutrino mass (mν = εφ), while λ = 2/3 emerges from the internal space geometry (Salam-Sezgin 6D supergravity). UNIFIED LAGRANGIAN: L_int = −ε · φ · ν̄ν PHYSICAL LAW: ε + Ωm × λ = Ω_DM (verified to 0.01%) KEY RESULTS (v3): - H₀ = 73.06 km/s/Mpc — tension reduced from ΛCDM 4.9σ to EU 0.02σ (RESOLVED) - S₈ = 0.782 — tension reduced from ΛCDM 3.3σ to EU 0.35σ (RESOLVED) - Model comparison: ΔAIC = −36.6 vs ΛCDM (decisive preference for EU) - CMB consistency: TT/TE/EE spectra match Planck within <2% residuals - Sound horizon preserved: r_s = 147.09 Mpc (0.0σ) - N_eff = 3.056 (consistent with BBN, 0.65σ) - Matter power spectrum P(k) validated, Slipstream suppression confirmed - Σmν = 0.06 eV (testable by KATRIN) - Zero free parameters: all derived, MCMC unnecessary PARAMETERS (all derived): - ε = 0.0598 (neutrino Yukawa coupling mν/⟨φ⟩) - λ = 2/3 (Salam-Sezgin 6D supergravity) - w₀ = −0.992 (derived: −1 + (ε/3)(Ωdm/Ωde)) - wₐ = −0.52 (derived: thawing dynamics) - z_trans = 3 (topological) - frac = 1/3 = 1−λ (Slipstream fraction) CONTENTS (8 notebooks + 7 JSONs): - 01_Theory.ipynb: Lagrangian, ε derivation, physical law - 02_CLASS_EU.ipynb: Boltzmann equations, background evolution - 03_NO_MCMC.ipynb: Proof that zero free parameters → MCMC unnecessary - 04_Results.ipynb: χ², ΔAIC = −36.6, full tension analysis - 05_Figures.ipynb: PRD-ready publication figures - 06_CMB_Power_Spectrum.ipynb: TT, TE, EE multipole analysis - 07_Matter_Power_Spectrum.ipynb: P(k), σ₈, Slipstream effect - 08_Observational_Validation.ipynb: Global validation (SNe + BAO + H(z) + CMB + WL) - Results/ — 7 JSON files with all numerical results - PAPER_I_REPORT.md — Comprehensive analysis report - REFEREE_DEFENSE.md — Point-by-point referee defense CHANGES: - Derived w₀ = −0.992 from theory (previously −1.0) - Derived wₐ = −0.52 from thawing dynamics - Expanded from 4 to 8 notebooks with full physics implementation - Added CLASS-level Boltzmann background evolution (NB02) - Zero-parameter proof: all quantities derived, MCMC shown unnecessary (NB03) - CMB Power Spectrum analysis: TT/TE/EE consistency <2% (NB06) - Matter Power Spectrum: P(k) validated, Slipstream σ₈ = 0.787 (NB07) - Global observational validation: SNe + BAO + H(z) + CMB + WL (NB08) - Added PAPER_I_REPORT.md and REFEREE_DEFENSE.md - Added shared paper1_params.py for parameter consistency NOTE: All notebooks are self-contained and executable in Google Colab.