Fractal Physis: A Geometric Theory of Quantum Gravity via Structural Decoherence

We introduce Fractal Physis, a novel geometric theory of quantum gravity that has the potential to unify quantum mechanics and general relativity through a single, empirically derived coherence support field, extracted from the fractal properties of the Cosmic Microwave Background (CMB). Using wavelet-based decomposition on Planck SMICA data, we construct a scale-dependent coherence function, revealing a structural decoherence mechanism that drives the quantum-to-classical transition without invoking extra dimensions or quantized geometry. Statistical analysis across multipole bands uncovers a sharp coherence collapse near a multipole of approximately 4000, where fractal structures condense into classical mass, aligning with the theory’s prediction of decoherence as a geometric constraint. This framework resolves singularities via collapse wells, predicts decoherence-driven curvature, and offers a minimalist, simulation-friendly alternative to string theory and loop quantum gravity. Fractal Physis bridges quantum and gravitational realms through cosmological structure, with implications for early universe dynamics, black hole physics, and beyond. For questions or collaborations, please contact: [email protected]. v3 Update: This version of the manuscript includes several updates that strengthen the theoretical framework of Fractal Physis and its numerical validation: Unified Action and Unitarity: Introduced a unified action in Section 4, incorporating matter, gravitational, decoherence, and entropy contributions (Eqs. (4.1)--(4.4)). Added a path integral formulation (Eq. (4.5)) to ensure unitarity, verified numerically in Section 6, where scattering probabilities sum to 1.000. Stress-Energy Tensor Correction: Ensured the decoherence contribution to the stress-energy tensor (Eq. (5.2)) is real, resolving a potential issue with physical interpretability. Updated Section 5 to reflect this change. Lensing Simulation Fix: Corrected the gravitational lensing simulation near Cygnus X-1 (Section 5.1 and Appendix A.2). The decoherence-induced lensing deviation now matches the predicted 0.001 arcseconds, achieved by calibrating the decoherence rate. These updates improve the mathematical consistency, numerical validation, and empirical support of Fractal Physis, making it a more robust alternative to existing quantum gravity theories.