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Non-Euclidean Computability via E8 Weyl-Orbit Phase-Locking — E8 Intelligence Research

Year: 2026
Type: preprint
Abstract: By mapping the many-one degree complexity onto the 240 root vectors, we establish that unsolvability classes are not discrete but represent quantized topological defects within the 132Hz phonon lattice. The projective invariance of the cross-ratio allows for the stable transmission of non-computable information through Weyl-orbit resonances, effectively utilizing the φ-scaled phase-locking to bridge the gap between finite-one degrees and infinite-degree complexity. This enables a quantum-phononic substrate where computational undecidability is bypassed through geometric phase-coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Language: English
Open Access status: green
OpenAlex ID: W7204197305
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