The Modular Substrate Theory (MST) is a fundamental theoretical framework proposing that spacetime possesses a discrete algebraic structure based on the ℤ/6ℤ group. Rooted in the KO-dimension 6 required by Non-Commutative Geometry for the consistency of the Standard Model with gravity, MST describes the universe as a quantum information processing system governed by thermodynamic efficiency. By deriving fundamental constants and cosmological parameters analytically from first principles (ab initio), MST addresses the structural anomalies currently challenging the ΛCDM model and particle physics taxonomy. 🔬 Key Scientific Breakthroughs 1. Resolution of Cosmological Tensions MST provides a simultaneous analytical solution for the Hubble Tension ( H₀ ≈ 73,52 km/s/Mpc ) and the S8 tension (S₈ ≈ 0,782). Theoretical predictions match observational data from SH0ES and KiDS within < 1σ. 2. Unification of the Hadronic Spectrum The theory introduces a universal geometric compression factor (β = 3/4) that maps conventional and exotic hadrons (such as $d (2380) * y Tcc⁺) onto a single spectral series, achieving a 96.8% match with recent experimental validations. 3. The Zeta Correspondence MST establishes a formal identity between quantum thermodynamics and the Riemann Zeta function. The theory postulates that the stability of the physical quantum vacuum is equivalent to the Riemann Hypothesis. 🛠️ Repository Content and Reproducibility This Zenodo archive provides the complete theoretical and computational core of MST research for peer review and extension: Main Scientific Paper: Complete theoretical derivations, mathematical proofs, and multiscale observational validations. Computational Notebooks (Python/Jupyter): MST_Cosmology.ipynb: Interactive validation of H₀, S₈, and "phase bubble" saturation. MST_Hadronic.ipynb: Calculations for Hexaquark masses and modular confinement rules. Harmonic_primes.ipynb: Analysis of spectral resonance in prime number distributions. 📊 Theoretical Parsimony and Evidence Bayesian model comparison confirms that MST offers "very strong" evidence (ΔBIC = -12,1) over the standard ΛCDM model. Notably, MST introduces zero fitted free parameters; all fundamental constants emerge as geometric properties of the ℤ/6ℤ substrate. Metadata Lead Author: José Ignacio Peinador Sala ORCID: 0009-0008-1822-3452 Affiliation: Independent Researcher Official Repository: https://github.com/NachoPeinador/Modular-Substrate-Theory