Resolving the Hubble and S8 Tensions via Informational Friction in the Modular Substrate Theory

This repository contains the complete manuscript, computational source code, and supplementary visual materials supporting the resolution of the cosmological Hubble (H0) and S8 tensions within the framework of the Modular Substrate Theory (MST). The MST proposes that the quantum vacuum possesses a discrete gauge symmetry that generates an intrinsic "informational friction." This dissipative effect modifies the late-universe Friedmann expansion and is activated by a geometric phase transition: the percolation of cosmic voids. The model demonstrates how both cosmological tensions can be resolved simultaneously without introducing free parameters, rigorously validated against modern observational datasets (Planck, SH0ES, KiDS, DES, and CosmicFlows-4). Repository Contents MST_Cosmological_Tensions_Resolution.pdf & .tex The primary research manuscript (compiled PDF and LaTeX source code). It comprehensively details the theoretical framework from first principles, the analytical derivations of the modified field equations, and the Bayesian Information Criterion (BIC) model comparison. MST_Cosmological_Tensions_Analysis.ipynb The fully reproducible Python/Jupyter notebook. It contains the exact computational implementation used for the rigorous propagation of statistical uncertainties, Monte Carlo simulations (20,000 samples), and the resolution of the cosmological tensions. MST_Cosmological Tensions Analysis.ipynb - Colab.pdf A static PDF export of the computational notebook, provided for immediate reading, peer review, and verification without the need to set up a Python execution environment. MST_Percolation_Schematic.png A pedagogical conceptual diagram illustrating the geometric evolution of the cosmic void network and the critical percolation threshold that activates the informational friction. Visualizations_of_MST_Dynamics.png High-resolution data visualizations generated directly from the analysis. It includes the sigmoid activation function and the Monte Carlo probability density histogram, explicitly demonstrating how the MST transition scale naturally saturates the rigorous kinematic upper limit imposed by the CosmicFlows-4 catalog (~70 Mpc). Reproducibility Statement All numerical values, statistical evidence thresholds, and visualizations presented in the associated manuscript are directly derived from the provided Jupyter notebook. Researchers are encouraged to download and execute the .ipynb file to reproduce and independently verify the findings.