Updated Horizon Expansion Fractal (HEF): A Novel Framework for Quantum Space-Time Geometry

The Horizon Expansion Fractal (HEF) is a novel, mathematically driven model designed to visualize and describe the expansion of the universe through recursive geometric structures. HEF bridges concepts from general relativity, quantum gravity, and cosmology by modeling space-time as a scale-dependent fractal that dynamically evolves outward from local quantum interactions to cosmic horizons. Traditional approaches to modeling the universe's structure — including the Friedmann–Lemaître–Robertson–Walker (FLRW) metric, inflationary models, and Loop Quantum Gravity (LQG) — often treat large-scale geometry and quantum microstructure separately. The HEF model proposes a unified visual and mathematical framework. I have included Recursive Vacuum Topology and Entanglement Structure as well as integration of the Standard Model with the newest version.