This companion paper explores the non-temporal dimension of THFR. We define the "Past" not as a temporal coordinate, but as a condensed phase state of infinite informational viscosity ($\eta\rightarrow\infty$). We propose Recursive Phase Fixation (RPF), introducing the Optimal Topological Invariant ($\lambda_{opt}$) as the geometric attractor minimizing informational dissipation. By formalizing the actualization process as the irreversible resolution of fractal bifurcations, we effectively eliminate "time" as a primary physical entity, replacing it with a directional topological complexification.