Twistor theory provides a powerful holomorphic encoding of massless, self-dual, and conformally invariant sectors of four-dimensional field theories, yet has resisted interpretation as a fundamental description. We show that twistor theory arises naturally as an effective encoding of a distinguished high-coherence regime of Modal Triplet Theory (MTT). Using coherent-sector projection, spectral-gap control, and controlled truncation, we define a precise “twistor corner” characterized by near self-duality, suppressed mass generation, slow scale variation, and negligible excitation of noncoherent modes. In this regime the coherent dynamics admit a Schur–Feshbach reduced generator whose correction term is suppressed by the inverse spectral gap, yielding a deterministic effective evolution efficiently encoded by twistor methods. We prove a sharp breakdown criterion: when the truncation correction exceeds an admissibility threshold or the gap collapses, the induced evolution on coherent data becomes kernel-valued, signaling an MTT selection event and loss of single-valued effective dynamics. This framework explains both the successes and intrinsic limitations of twistor theory and situates it within a broader theory of coherence, admissibility, and irreversibility.
Peter Nero (Thu,) studied this question.