Following the establishment of the Gractal framework for emergent spacetime and the resolution of the Hubble Tension via dimensional thermodynamics, this letter addresses the origin of matter and gauge couplings. We postulate that fundamental particles are persistent topological defects within the Causal Tensor Network (DCTN), emerging from a high-density topological fluid regime. We report a preliminary numerical resonance for the Fine-Structure Constant (alpha) via a "Gractal Impedance" scaling law, governed by the ratio of the vacuum's geometric density (dH ~ 1. 41) to its spectral diffusion rate (ds ~ 1. 25). Numerical simulations with N=100, 000 nodes yield a unified coupling value of alphaDCTN ~ 0. 00738, converging to the experimental constant (1/137 ~ 0. 00729) with 98. 9% precision. Furthermore, we provide visualizations of the "Topological Electron" and the emergent particle mass spectrum, suggesting that fundamental forces may be geometric inevitabilities of fractal information processing.
Marcos Fernando Nava Salazar (Tue,) studied this question.