Fractal Quantum Network: Complete Unification of Spacetime and Matter 19.4

The Fractal Quantum Network (FQN) 19.4 proposes that spacetime and matter emerge from a discrete, evolving network of Planck-scale cells. The network's topology — specifically its homology groups $H_1(K,\mathbb{Z})$ and $H_2(K,\mathbb{Z})$ — generates the Standard Model gauge group $\mathrm{SU(3)_C \times SU(2)_L \times U(1)_Y}$. The fractal dimension $d_f$ is not a parameter, but a dynamical variable that evolves from $d_f \approx 2$ (holographic) to $d_f \approx 4$ (classical) via a potential $V(d_f)$ with noise and friction. This dynamics explains inflation, dark energy, and the arrow of time. Quantum uncertainty arises from time dilation in the network, and entanglement from shared network history. FQN 19.4 is falsifiable: it predicts a gravitational wave spectrum $\Omega_{\text{GW}} \sim f^{-1.33}$, a Casimir force deviation of 0.05\%, and no proton decay. This paper presents the core theory and its 30 supporting appendices.The author reserves the right to develop this theory further. All derivative works must cite this preprint.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-04
DOI
https://doi.org/10.5281/zenodo.16739636
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Fractal Quantum Network: Complete Unification of Spacetime and Matter 19.4

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Fractal Quantum Network: Complete Unification of Spacetime and Matter 19.4

article en

Abstract

The Fractal Quantum Network (FQN) 19.4 proposes that spacetime and matter emerge from a discrete, evolving network of Planck-scale cells. The network's topology — specifically its homology groups $H_1(K,\mathbb{Z})$ and $H_2(K,\mathbb{Z})$ — generates the Standard Model gauge group $\mathrm{SU(3)_C \times SU(2)_L \times U(1)_Y}$. The fractal dimension $d_f$ is not a parameter, but a dynamical variable that evolves from $d_f \approx 2$ (holographic) to $d_f \approx 4$ (classical) via a potential $V(d_f)$ with noise and friction. This dynamics explains inflation, dark energy, and the arrow of time. Quantum uncertainty arises from time dilation in the network, and entanglement from shared network history. FQN 19.4 is falsifiable: it predicts a gravitational wave spectrum $\Omega_{\text{GW}} \sim f^{-1.33}$, a Casimir force deviation of 0.05\%, and no proton decay. This paper presents the core theory and its 30 supporting appendices.The author reserves the right to develop this theory further. All derivative works must cite this preprint.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 56%
Advanced Mathematical Theories and Applications
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