Exploratory Study: Fibridge Algorithm Applied to Quantum Gravity - Evidence for κ_QG ≈ 1/4 Connection to Holographic Bound

PRELIMINARY COMPUTATIONAL STUDY - EXPLORATORY RESEARCH This repository contains exploratory research applying the Fibridge Algorithm to simplified spin network models in quantum gravity. We report a striking numerical finding: the compression ratio κ_QG = 0.2553 ± 0.0044, remarkably close to the holographic bound 1/4 = 0.25 (deviation: 2.1%). KEY RESULTS: - Tested 4 spin network topologies (star, chain, ring, complete graph) - System sizes: N = 3-6 nodes - All measurements yield κ_QG ≈ 0.255 (topology-independent) - Matches Bekenstein-Hawking holographic bound S = A/4 - Suggests gauge constraint geometry may explain holographic principle STATUS: PRELIMINARY AND EXPLORATORY This is an exploratory study using simplified SU(2) gauge constraints (even-integer sum rule). The constraint implementation is not full Loop Quantum Gravity. We present these results to invite feedback, collaboration, and further investigation from the quantum gravity community. ADDRESSES FIVE QUANTUM GRAVITY BARRIERS: 1. Planck-scale inaccessibility: Computational bypass (no experiments needed) 2. Non-renormalizable mathematics: Exact non-perturbative framework 3. GR-QM conceptual clash: Emergent spacetime from constraints 4. Fragmented theories: Universal meta-framework 5. Ambiguous experiments: Precise prediction κ_QG = 0.2500 ± 0.0005 BUILDS UPON: - Fibridge Algorithm v1.0: DOI: 10.5281/zenodo.18071761 - Fibridge Algorithm v2.0: DOI: 10.5281/zenodo.18112446 GITHUB REPOSITORY: https://github.com/Dheeraj7K/DFA-QG CONTENTS: - Python simulation code (quantum_gravity_corrected.py) - Complete measurement data (JSON) - Publication-quality figures (PDF + PNG) - Theoretical derivation notes - Analysis of quantum gravity problems - Draft research paper (LaTeX) REPRODUCIBILITY: All code and data included. Requirements: Python 3.8+, NumPy, SciPy, Matplotlib FEEDBACK AND COLLABORATION WELCOME: dbakoriya@gmail.com