(GQR-28) Geometry-Conditioned Directional Coherence as an Organizing Principle for Transport in Noisy Quantum Materials.

Directional transport and rectification are conventionally understood as consequencesof externally imposed asymmetry, junction engineering, or sustained nonequilibrium bias.Recent work has demonstrated that bias-free directional coherence can instead emerge fromlattice geometry and constraint architecture alone, even in strongly noisy quantum materials.Here we develop a general, material-agnostic framework for geometry-conditioned direc-tional coherence, in which structural asymmetry and boundary conditions act as admis-sibility filters that restrict which coherent transport modes persist under time-structureddriving. Superconducting cuprates provide a clear experimental and computational testcase, but the organizing principle does not rely on superconductivity, pairing mechanisms,or dissipationless transport.We show that geometry-conditioned admissibility generically gives rise to structured,high-dimensional transport response manifolds whose topology reflects underlying constraintarchitecture. These results identify geometry-conditioned coherence as a logically priororganizational mechanism shaping transport in complex quantum systems. Full 70 article programme https://github.com/jamessutton600613-png/GQR/blob/main/Programme_Index.md The programme contains both standalone and self referencing articles. These can all be read as notes in proof of GQR1.