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  "slug": "from-force-to-fractal",
  "title": "From Force to Fractal",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
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  "abstract": "The transition from force-based epistemic placeholders to a purely geometric ontic bedrock represents the defining trajectory of modern theoretical physics. By synthesizing Ontic Structural Realism with contemporary developments in Invariant Set Theory, we propose a unified framework where reality is modeled as a hyperdimensional fractal manifold. We utilize numerical simulations of spectral dimensions and p-adic distance metrics to demonstrate the “gappy” nature of the ontic bedrock at the Planck scale. This approach allows for a rigorous formalization of the “Flatlander” constraint, characterizing quantum indeterminacy not as a fundamental blurriness, but as a geometric boundary of the observer. Our findings demonstrate that the spectral dimension of spacetime reduces from four to approximately 1.58 at the Planck scale, a result consistent with fractal-constrained manifolds such as the Sierpinski gasket. This dimensional reduction provides a natural resolution to the renormalization problem, as the “gappy” nature of the invariant set renders quantum field theory integrals finite without the need for arbitrary cut-offs. [...]",
  "abstract_markdown": "The transition from force-based epistemic placeholders to a purely geometric ontic bedrock represents the defining trajectory of modern theoretical physics. By synthesizing Ontic Structural Realism with contemporary developments in Invariant Set Theory, we propose a unified framework where reality is modeled as a hyperdimensional fractal manifold. We utilize numerical simulations of spectral dimensions and p-adic distance metrics to demonstrate the “gappy” nature of the ontic bedrock at the Planck scale. This approach allows for a rigorous formalization of the “Flatlander” constraint, characterizing quantum indeterminacy not as a fundamental blurriness, but as a geometric boundary of the observer. Our findings demonstrate that the spectral dimension of spacetime reduces from four to approximately 1.58 at the Planck scale, a result consistent with fractal-constrained manifolds such as the Sierpinski gasket. This dimensional reduction provides a natural resolution to the renormalization problem, as the “gappy” nature of the invariant set renders quantum field theory integrals finite without the need for arbitrary cut-offs. [...]",
  "date": "2026-02-01",
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        "description": "The transition from force-based epistemic placeholders to a purely geometric ontic bedrock represents the defining trajectory of modern theoretical physics. By synthesizing Ontic Structural Realism with contemporary developments in Invariant Set Theory, we propose a unified framework where reality is modeled as a hyperdimensional fractal manifold. We utilize numerical simulations of spectral dimensions and p-adic distance metrics to demonstrate the “gappy” nature of the ontic bedrock at the Planck scale. This approach allows for a rigorous formalization of the “Flatlander” constraint, characterizing quantum indeterminacy not as a fundamental blurriness, but as a geometric boundary of the observer. Our findings demonstrate that the spectral dimension of spacetime reduces from four to approximately 1.58 at the Planck scale, a result consistent with fractal-constrained manifolds such as the Sierpinski gasket. This dimensional reduction provides a natural resolution to the renormalization problem, as the “gappy” nature of the invariant set renders quantum field theory integrals finite without the need for arbitrary cut-offs. [...]",
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