Recursive Self-Deepening in E8 Geometric Knowledge Synthesis: From Integers to Lefschetz Thimbles in Seven Experiments

Seven sequential experiments using the Omuo Genesis Engine demonstrate recursive self-deepening in geometric knowledge synthesis on the E8 lattice. Integers converge on the zeta function; sacred numbers converge on the Monster group; 250 cross-domain concepts converge through five independent threads. Recursive self-feeding produces progressive abstraction from cross-domain metaphors to frontier mathematical physics. Three ablation studies (multi-salt, random-word control, Oracle-mode) validate that the engine discriminates signal from noise (10× bridge ratio) while terminal axes are salt-dependent. Companion to: "The 168/72 Invariant of E8 Self-Binding" (Zenodo, 2026). CORRECTION (April 2026): This paper references the 168/72 axis invariant as a structural feature of E8 phasor binding. This invariant was subsequently found to be an artifact of float64 numerical precision. At complex128 precision (Genesis Engine v4.0.0), 240/240 axes are occupied. The recursive self-deepening phenomenon, progressive abstraction through self-feeding, and the ablation study results (signal-to-noise discrimination, salt-dependent terminal axes) remain valid and are not affected by this correction.