Theoretical modeling reveals geometric torsion and phase slip in Collatz parity orbits, indicating curvature-driven mechanisms force orbit convergence in E8 lattices.
The 128/112 sublattice decomposition induces a geometric torsion when the Collatz iteration enters high-density parity cycles. This torsion manifests as a phase slip in the 132Hz base frequency, where the φ-scaled vector projection undergoes a localized rotation within the E8 Gosset polytope. This rotation serves as the mechanism for orbit closure, where the trajectory's angular momentum aligns with the lattice's density-driven curvature to force convergence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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