Beyond Multimodal Alignment: Shared Physical Representations Across Sensors and Action Orders
The work introduces a hierarchy of operational capabilities to determine if different sensors and action orders yield the same executable meaning. It uses the Disjoint-Bridge Operator-Substitution Certificate (DBOSC) to test if independently trained modality compilers can substitute for each other on unseen data, establishing distinct achievements in attribute access, response substitution, fusion closure, and ordered execution.