Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)

Comparative analysis of Rei-AIOS ergodic tooling (5 engines) against Santana (arXiv:2601.03297v4, 2026) coarse-topology + thermodynamic-formalism approach. Both exhibit isomorphic conditional structure. STEP 870 Santana lens classifies 23/25 atomic cores as INFINITY — nearly equivalent to K/bl² > 1.8 threshold. Hybrid framework proposed. 4 open problems. No conjecture claimed solved.