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

''GRAVITY Rewritten", in a FUNt Cosmos This volume reframes gravitational theory. BOLD CLAIMS, accompanied with emperical math. Via 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. *apologies on file arrangement, the system has its own views on ' sequential '.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-08
DOI
https://doi.org/10.5281/zenodo.17298871
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
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article

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

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

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

article en

Abstract

''GRAVITY Rewritten", in a FUNt Cosmos This volume reframes gravitational theory. BOLD CLAIMS, accompanied with emperical math. Via 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. *apologies on file arrangement, the system has its own views on ' sequential '.

Zenodo (CERN European Organization for Nuclear Research)
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