Contradiction-Field Manifold (CFM): Formal Definition and Initial Dataset Structure — Teaser Release (v0.1)

This teaser release (v0.1) is an early technical component of the unified UMT–NMT system for invariant-preserving scientific translation. It introduces the Contradiction-Field Manifold (CFM), a geometric framework for representing scientific contradictions across domains such as metrology, quantum physics, M-theory, protein biophysics, and cognitive systems. The note provides the formal definition of contradiction-level tensors, the dataset schema, and five initial cross-domain contradiction pairs that will be expanded in subsequent versions. © 2025 Yurii Kuzmenko, Olena Trofimova.For academic use only. Redistribution and commercial use prohibited.