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The Mathematics of OFT

For every piece of legacy mathematical physics there exists an isomorphic OFT formalism that preserves all predictions while grounding every symbol in physical mechanism. The mathematics is never lost — it is re-homed. Each chapter corresponds to a paper in the OFT series and demonstrates the formal bridge between legacy and OFT formalisms for that domain. The pattern in every chapter is the same: here is the legacy formalism; here is the OFT formalism that achieves the same predictions; here is the isomorphism between them; here is the precise point where the ontologies diverge.