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: Lᵢnt = −ε · φ · ν̄ν PHYSICAL LAW: ε + Ωm × λ = ΩDM (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: rₛ = 147. 09 Mpc (0. 0σ) - Nₑff = 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) - zₜrans = 3 (topological) - frac = 1/3 = 1−λ (Slipstream fraction) CONTENTS (8 notebooks + 7 JSONs): - 01Theory. ipynb: Lagrangian, ε derivation, physical law - 02CLASSEU. ipynb: Boltzmann equations, background evolution - 03NOMCMC. ipynb: Proof that zero free parameters → MCMC unnecessary - 04Results. ipynb: χ², ΔAIC = −36. 6, full tension analysis - 05Figures. ipynb: PRD-ready publication figures - 06CMBPowerSpectrum. ipynb: TT, TE, EE multipole analysis - 07MatterPowerSpectrum. ipynb: P (k), σ₈, Slipstream effect - 08ObservationalValidation. ipynb: Global validation (SNe + BAO + H (z) + CMB + WL) - Results/ — 7 JSON files with all numerical results - PAPERIREPORT. md — Comprehensive analysis report - REFEREEDEFENSE. 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 PAPERIREPORT. md and REFEREEDEFENSE. md - Added shared paper1ₚarams. py for parameter consistency NOTE: All notebooks are self-contained and executable in Google Colab. Keywords: cosmology, dark energy, dark matter, Hubble tension, S8 tension, neutrino mass, constituent law, scalar field, evaporation, model comparison, zero free parameters