Gravity as a Fractal Restoration Vector Field: A Unified Model Based on Gφ-Coherence

This article proposes a unified model for gravity based on the hypothesis that the gravitational field emerges as a gradient of fractal coherence modulated by the golden ratio (φ). A new mathematical formulation is presented through the vector field Gφ , which generalizes Newtonian gravity by embedding anisotropic and nonlinear corrections under a fractal geometry framework. Using FDTD simulations and theoretical modeling, the paper shows how gravity may emerge as a directional restoration force of local coherence loss, potentially addressing anomalies currently attributed to dark matter, dark energy, and quantum gravity inconsistencies. This model aims to bridge classical and quantum views of gravitation through a coherent fractal scalar field.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-03
DOI
https://doi.org/10.5281/zenodo.17049867
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Gravity as a Fractal Restoration Vector Field: A Unified Model Based on Gφ-Coherence

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Gravity as a Fractal Restoration Vector Field: A Unified Model Based on Gφ-Coherence

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Abstract

This article proposes a unified model for gravity based on the hypothesis that the gravitational field emerges as a gradient of fractal coherence modulated by the golden ratio (φ). A new mathematical formulation is presented through the vector field Gφ , which generalizes Newtonian gravity by embedding anisotropic and nonlinear corrections under a fractal geometry framework. Using FDTD simulations and theoretical modeling, the paper shows how gravity may emerge as a directional restoration force of local coherence loss, potentially addressing anomalies currently attributed to dark matter, dark energy, and quantum gravity inconsistencies. This model aims to bridge classical and quantum views of gravitation through a coherent fractal scalar field.

Zenodo (CERN European Organization for Nuclear Research)
Instituto Federal de Educação, Ciência e Tecnologia de Santa Catarina (BR)
Sustainable cities and communities
Openalex Percentile: Top 57%
Geochemistry and Geologic Mapping
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