Pretorius, Eugene: Gradient Fractals - The Fractal Veldt - Essay V: The Topological Ground - Knot Invariants, Phase Inversion, Winding Numbers, RSR Thresholds, and the Topological Constitution of the Gradient Fractal Field

_Zenodo_. 2026Essay V of the Gradient Fractals suite executes the Topological layer of the ten-layer derivational chain. The four preceding essays established the Gradient Fractal Field’s ontological necessity (GF-I), algebraic-computational spine (GF-II), geometric character D = 93/40 (GF-III), and informational constitution dS/dτ = log₂(3) (GF-IV). GF Essay V now asks: what is the topological constitution of this field? Topology asks not what the field measures or how much it processes, but wh