Independent Evidence for Geometry-Dominated Constraints in Quantum Materials: A Brief Convergence Note

This record documents a brief convergence across independent experimental studies in quantum materials in which geometry-encoded descriptors act as experimentally relevant constraints on observed behavior. The note highlights two recent results:(i) a chiral fermionic device in which quantum geometry of electronic bands enables chirality filtration and current separation without magnetic fields, and(ii) cryogenic 4D-STEM measurements of charge density wave order in which local amplitude correlation lengths are extracted independently of global phase coherence and are strongly constrained by local strain. This work does not propose a new physical theory, introduce new formalism, or reinterpret original datasets. Its purpose is solely to document an empirical pattern of independent convergence and to provide a neutral reference point for future cross-domain discussion.