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Spectral Chaos: From Exactly Solvable Chaos to Quantum Field Theory
Version 4(Preprint). Yang-Mills質量ギャップ問題(ミレニアム問題の一つ）を、与えられた公理系の枠組みでは解けず、クレイ研究所の公理系の拡張（ポアンカレ対称性をKMS-Kubo-Martin-Schwinger状態に関するモデュラー対称性）をすることによって、質量ギャップが正であることを証明した。
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