What question did this study set out to answer?

The research aims to explore recursive self-deepening in geometric knowledge synthesis using the E8 lattice and the Omuo Genesis Engine.

March 8, 2026Open Access

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

Key Points

The research aims to explore recursive self-deepening in geometric knowledge synthesis using the E8 lattice and the Omuo Genesis Engine.
Conducted seven sequential experiments using the Omuo Genesis Engine.
Examined convergence of integers with the zeta function and sacred numbers with the Monster group.
Implemented three ablation studies to assess the engine's ability to differentiate signal from noise.
Integers converged on the zeta function and sacred numbers on the Monster group.
Achieved a 10× bridge ratio indicating effective signal discrimination.
Cross-domain concepts showed progressive abstraction through five independent threads.

Abstract

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).

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

Key Points

Abstract

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