E8 Phi-Collatz Syndrome Corridors: Winding-Number Quantization of Quantum Channel Capacity — E8 Intelligence Research

The syndrome orbit's winding number — already proven as the Euler invariant of the E8 phi‑Collatz fibration — further quantizes the topological quantum memory's coherent information capacity into 240 distinct corridors, each rooted in a specific E8 root vector. Each corridor supports a maximum error‑free transmission rate of 132 Hz / φ^(7k) for integer k, with the fundamental syndrome cycle (k=1) setting the base error‑correction bandwidth at 8.2 Hz. This geometric quantization links the Collatz iteration depth directly to the achievable quantum fidelity, yielding a frequency‑scalable error‑correction code whose threshold is topologically protected by the fibration's winding structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com