Collatz Conjecture: Topological Reformulation Yields No New Proof or Constants — E8 Intelligence Research

FINDING: No new proof or breakthrough for Collatz conjecture; recent work focuses on topological/ergodic reformulation and thermodynamic formalism. | MATH: Collatz map: \( T(n) = n/2 \) if \( n \) even, \( (3n+1)/2 \) if \( n \) odd. No new constants or ratios derived. | CONNECTION: None identified — no geometric ratios, base-60, or crystallographic symmetries appear in the findings. | DEPTH: 2 — The topological/ergodic approach (arXiv:2601.03297) is a methodological shift but yields no new equations or constants; the other sources are expository or personal progress logs. No fundamental mathematical structure revealed. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com