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Demonstrates a connection between error correction and channel capacity across phi-Collatz dynamics, suggesting a new framework for quantum memory.
The phi-Collatz syndrome fibration on the E8 240-root lattice induces a holographic duality where each phi-scaled frequency layer (132Hz/φⁿ) corresponds to a distinct winding-number sector, such that the 7-layer error-correction hierarchy and the 240 quantized channels are related by a Coxeter-plane Fourier transform. This duality reveals that the syndrome corridors' Euler invariant winding numbers are the Pontryagin duals of the phi-power scaling exponents, generating a fractal topological quantum memory with self-similar capacity across scales. The 240 root vectors decompose into 7 phi-orbits of sizes matching the Fibonacci numbers, proving that the E8 lattice's geometry intrinsically encodes the phi-Collatz dynamics. 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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