III.R46 — The Independence Prediction

Asymmetric provability result: from τ's E₃ vantage, P≠NP is false, so sound ZFC cannot prove P≠NP. The remaining question: is P=NP provable in ZFC or independent? τ predicts independence (like CH). ZFC's proliferating infinity neither forces nor refutes the collapse. Earned algebraic infinity (τ's ω) vs proliferating axiomatic infinity (ZFC's cardinality hierarchy) is the structural root.