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