Published February 11, 2026 | Version v1
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Modular Substrate Theory: Geometric Unification of Cosmology and Hadronic Spectroscopy from First Principles

Authors/Creators

  • 1. Independent Researcher

Description

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):

📊 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

Files

MST_paper.pdf

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Additional details

Related works

Is supplemented by
Preprint: 10.5281/zenodo.18417862 (DOI)
Preprint: 10.5281/zenodo.18455954 (DOI)
Preprint: 10.5281/zenodo.18485154 (DOI)

Software

Repository URL
https://github.com/NachoPeinador/Modular-Substrate-Theory
Programming language
Python
Development Status
Active

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