Welcome to the official repository for the Horizon Boundary Consistency (SHZ-BCC) framework.
This repository provides the complete computational, mathematical, and phenomenological foundation that unites Loop Quantum Gravity (LQG), the Standard Model, and Cosmology into a single, parameter-free predictive theory. By addressing the Cosmological Constant Problem through topological constraints on causal horizons, the framework derives exact particle physics parameters and cosmological dynamics.
The definitive guide to the theory, including Holographic Sequestering, String-Net Condensation, and Topological Non-Renormalization, is available here:
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Holographic Entanglement: Simulations demonstrating the
$Z_2^3$ constraints acting as a "Quantum Purifier", zeroing out vacuum energy. - String-Net Condensation: 3D visualizations of LQG nodes condensing into a macroscopic topological horizon.
- Mathematical Proofs: 3-form sequestering action preserving 4D bulk locality.
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The Cabibbo Angle: Exact derivation (
$\lambda = 1/\pi\sqrt{2}$ ) via Gravitational Wilson Loops and the Volume Conjecture. -
Predictive RGEs: Python solvers proving how topological UV boundaries dictate the precise mass of Pati-Salam scalars (
$\sim 10^{12}$ GeV). -
Experimental Roadmap: Hard predictions for Proton Decay (
$10^{35}$ yrs at Hyper-Kamiokande) and Lepton Flavor Violation ($\mu \to e \gamma$ at MEG II).
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Cosmic Strings & GWs: Gravitational wave spectra from
$SU(4)_C$ symmetry breaking, tested against NANOGrav (PTA) exclusion limits. -
False Vacuum Inflation: Dynamics necessitating exactly
$N_e \approx 60$ e-folds, mathematically resolving the Planck CMB Low-$\ell$ Quadrupole Anomaly.
- Random Forest Survival Analysis: A Monte Carlo scan of 100,000 synthetic universes, proving the extreme rigidity of the SHZ-BCC framework. Only 4.8% of the parameter space survives all combined limits (LHC, Planck, Super-K).
- Interactive 3D plots and outreach website (Ready for GitHub Pages).
To run the simulations and reproduce the high-resolution plots:
git clone https://github.com/YourUsername/SHZ-BCC-Unified-Theory.git
cd SHZ-BCC-Unified-Theory
pip install -r requirements.txt
python 4_Machine_Learning/ai_parameter_scan.py