OmegaGenesis is a structural framework for analyzing the Collatz system through a finite, modular architecture. It introduces a four‑family dynamical partition, a finite residue‑graph core, and clear invariants for drift and valuation, offering a concise, auditable view of the dynamics.
Exact finite-level mixing geometry for accelerated Collatz dynamics modulo powers of two. This repository does not claim a proof of the Collatz conjecture.
Paper: "About the proof of the Collatz conjecture", Status: Eprint: arXiv:1303.2073, id: paper_0001
Spectral amplification by one-bit inflow in Collatz dynamics. Paper C: numerical phase diagram and open gap problem. Does not claim a proof of the Collatz conjecture.
Scale-coherence rigidity and the orbitwise gap in Collatz dynamics. Paper D: from population mixing to individual orbits. Does not claim a proof of the Collatz conjecture.
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