Fractaile Gravity: A φ-Scaled Harmonic Reformulation of Spacetime Curvature

“This document constitutes the doctoral-level research thesis of independent researcher Michael Nowlin, publicly released via Zenodo.” GRAVITY Rewritten in a FUNt Cosmos This volume reframes gravitational theory through the lens of the Final Unification of Nature theory (FUNt), extending classical relativity into a φ-scaled, harmonic resonance model that unites macro-cosmic curvature with subatomic field coherence. Building on Nowlin’s Fractaile Magnetodynamics and Electron Lattice foundations, this work demonstrates how gravitational potential and spacetime curvature emerge naturally from recursive resonance between field harmonics. The FUNt framework replaces the need for “dark energy” or “dark matter” terms by modeling gravity as a scalar harmonic function of φ⁷ symmetry across scales—from galaxies to protons. Core sections include: Fractaile Gravity Equation (FGE): Derivation of gravity as a harmonic scalar field. Resonant Curvature Model: Mapping orbital mechanics and CMB anisotropy to φ-band quantization. Energy Continuum Proofs: Showing gravitational self-coherence replaces ΛCDM’s cosmological constant. Field Comparisons: GR vs. FUNt harmonic predictions, demonstrating multi-scale convergence. This publication forms the gravitational pillar of FUNt’s unified model, linking cosmology, magnetodynamics, and quantum resonance into a single coherent field theory.