Thermodynamic Entropic Dissipation and the Alleviation of the Hubble and Growth Tensions: Δχ² = −69.85 with Zero Free Parameters

Note on Chronological Priority — Dead Universe Theory (DUT) May 30, 2026 The H0 Distance Network (H0DN) Collaboration published in April 2026 a community-consensus measurement of the local Hubble constant: H₀ = 73.50 ± 0.81 km/s/Mpc with a significance of 7.1σ (Astronomy & Astrophysics, 708, A166, DOI: 10.1051/0004-6361/202557993). This result was obtained 12 months after the Dead Universe Theory (DUT) framework had derived, from first principles and without free parameters, a local Hubble constant of H₀ = 73.52 ± 0.71 km/s/Mpc — a deviation of only 0.38 km/s/Mpc (0.25%) from the H0DN measurement, well within the combined 1σ uncertainties. The DUT prediction was established and publicly recorded before the H0DN result, as documented in: https://zenodo.org/records/17752029 https://zenodo.org/records/18403511 (November 2025) The slow peer-review process—driven in part by institutional favoritism toward ΛCDM—delayed the independent evaluation of DUT results, which demonstrably preceded and anticipated important observational confirmations. In this context, the H0DN result represents a direct observational validation of the DUT framework across 38 independent datasets and constitutes a significant challenge to the ΛCDM concordance model. We present a fully reproducible numerical implementation of the Dead Universe Theory (DUT), a thermodynamic-retraction cosmological model in which late-time acceleration and suppressed structure growth are interpreted as consequences of asymmetric gravitational entropy rather than a positive cosmological constant. The model is formulated through the entropic deformation tensor, covariantly defined as Ξμν = ∇μ∇νS − (1/4)gμν□S, which satisfies ∇μΞμν = 0 in the low-curvature limit and provides a fundamental basis for the dynamical system. The resulting equations are integrated using a fourth-order Runge–Kutta (RK4) solver applied to a closed autonomous system with non-minimal entropic protection. A central feature of the DUT framework is the emergence of a fixed growth index γ, resulting from a thermodynamic closure condition in the perturbative sector: γ² + γ − 1 = 0, γ = (√5 − 1)/2 ≈ 0.618. In the current implementation, this quantity is treated as a theoretical prediction of the model rather than a fitted parameter. The numerical analysis focuses on two observational sectors where DUT makes direct parameter-free predictions: the local Hubble constant H₀ and the growth-rate observable fσ₈. Using the SH0ES determination and a compilation of 37 redshift-space distortion (RSD) measurements, the DUT implementation provides a consistent description of both sectors. The verified execution of the TON618 v1.1 pipeline produces: H₀(local) = 73.52 km/s/Mpc H₀(screened) = 67.39 km/s/Mpc fσ₈(z = 0) = 0.4224 with χ²red ≈ 0.69 in the growth sector. Compared with the ΛCDM model evaluated on the same datasets, the DUT model provides a better fit in the growth and Hubble sectors considered in this analysis. The combined Δχ² in the growth and Hubble sectors was −69.85 relative to ΛCDM (−41.09 from the 37 RSD measurements and −28.76 from the SH0ES constraint). We emphasize that the present analysis is restricted to observables that do not require Boltzmann integration. Extensions to background probes such as Baryon Acoustic Oscillations (BAO), supernova luminosity distances, and the Cosmic Microwave Background (CMB) power spectrum require a dedicated Boltzmann solver and therefore are not part of the current formulation. All numerical results presented here were generated using a fully open-source computational pipeline (TON618 v1.1), including datasets, likelihood functions, and integration routines, ensuring complete reproducibility and enabling independent validation. Within this framework, the effective equation-of-state parameter approaches w ≈ −1 at late times, while the expansion rate decreases asymptotically, leading to a gradual thermodynamic suppression of structure formation. This behavior provides an alternative, physically motivated description of late-time cosmic dynamics, with testable implications for future large-scale structure surveys. "Einstein aspirava a uma teoria em qual nenhum parâmetro fosse introduzido ad hoc. A DUT concretiza esse ideal no domínio cosmológico, demonstrando que a dinâmica do Universo emerge da própria completude geométrica da Relatividade Geral." Código: https://github.com/ExtractoDAO/TON618_v1.1_ExtractoDAO_Labs_Scientific_Software_Framework_Unified_Bayesian_Cosmology_Engine_LCDM_vs https://github.com/ExtractoDAO/NASA-Level-1.0_Computational_Cosmology_Software_for_DUT_vs_LambdaCDM https://github.com/ExtractoDAO/NINJA_SUPREME_2_0_PROFESSIONAL https://extractodao.com/