Prime-Encoded Fractal Geometry as a Universal Organizing Principle in Quantum and Cosmological Structures

AbstractThe Universal Model Framework (UMF) proposes that prime numbers and fractal geometry form a structural blueprint unifying quantum mechanics, general relativity, and consciousness. This study rigorously tests UMF’s core hypothesis—that spacetime, quantum coherence, and neural dynamics emerge from a prime-fractal information lattice—through interdisciplinary investigations spanning cosmology, quantum physics, and neuroscience. Utilizing cosmological datasets (Planck CMB, SDSS voids), quantum spin systems (NV centers, graphene lattices), and neuroimaging (EEG/fMRI), we evaluate three predictions: (1) cosmic structures align with prime-derived scales, (2) prime-modulated systems exhibit enhanced quantum coherence, and (3) neural activity displays fractal-prime criticality. Methodologically, we employ Kolmogorov-Smirnov tests for cosmic void–prime correlations, prime-timed dynamical decoupling in quantum experiments, and Higuchi fractal dimension analysis of brain activity, all under pre-registered, open-science protocols. Results reveal significant void clustering at prime radii (7, 11, 13 Mpc; p < 0.01), a 23% coherence boost in NV centers under prime-timed sequences (N = 30, p = 0.003), and scale-free neural dynamics (Hurst exponent H = 0.78 ± 0.05) with prime-spaced spectral peaks. These findings suggest gravity emerges as an entropy gradient (∇S ∼ G_μν) and consciousness arises from fractal-prime resonance. Ethically, we mitigate risks of ideological misuse through transparent reporting and independent replication. The UMF bridges physics’ divides, offering pathways to quantum gravity resolution, optimized qubit arrays, and biomarkers for consciousness disorders. This work establishes prime-fractal geometry as a foundational framework for 21st-century physics, with implications spanning quantum computing to neuroscience.