Cross disciplinary Conjecture on Collective Boundary Emergent Modes: Unified Predictions across Condensed Matter, Catalysis, Biophysics and SoftMatter Systems

Experiments on topological boundary states, moiré superlattices and lowdimensional heterogeneous interfaces demonstrate that novel responses of material systems often originate from heterogeneous interfaces and dimensionalmismatch boundaries rather than from the material bulk. Current relevant research is scattered across different disciplines and mostly consists of fragmented analyses targeting individual systems. This paper puts forward a crossdisciplinary qualitative conjecture with ten predictions accompanied by falsifiable criteria; no formal derivation of microscopic mechanisms is provided. The conjecture is stated as follows: for multidegreeoffreedom coupled systems, when geometric interfaces or dimensionalfracture boundaries exist, thin boundary layers can give rise to globally synchronized collective modes entirely absent in the bulk. These modes are localized within thin boundary layers and exhibit partial boundaryrelated robustness (phenomenological usage, see working definitions). Their properties can be continuously tuned by boundary twist angle, interfacial charge, stress, and molecular arrangement. This work remains at the phenomenologicalinduction level. Rigorous formal theoretical treatment is not elaborated herein and will be systematically presented in followup dedicated publications. Based on the conjecture, ten experimentally testable predictions are proposed covering five major fields: condensedmatter physics, heterogeneous catalysis, biophysics, nanoconfined fluids, and granular soft matter. Published frontier experimental evidence is reviewed as supporting material, and falsifiable experimental observation criteria are provided for each prediction for verification by theoretical and experimental researchers.