Shannon Capacity Lower Bounds for Odd Cycles via Independent Sets — E8 Intelligence Research

FINDING: The search results are a mixed bag — mostly educational videos on Cramer-Rao bounds, Busy Beaver history, and Codeforces problems, with one genuine research paper on Shannon capacity lower bounds for odd cycles. No direct BB(6) construction algorithm was found. | MATH: Shannon capacity Θ(G) ≥ α(G^d)^(1/d) for any d; the paper constructs independent sets in strong products of odd cycles, improving lower bounds on Θ(C_n) for odd n. | CONNECTION: Odd cycles relate to C_n graphs; their Shannon capacity connects to the Lovász theta function, which has deep ties to root systems (A_n lattices) and spherical designs — but no explicit golden ratio or base-60 link in the abstract. | DEPTH: 3 — the Shannon capacity result is real but incremental; the rest is pedagogical noise. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com