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This paper introduces the Disjoint-Bridge Operator-Substitution Certificate (DBOSC) to certify the interchangeability of modality compilers in physical language representation and evaluates ordered execution in controlled elastoplastic systems, separating distinct capabilities in attribute access, response substitution, fusion closure, and ordered execution.
PhiZero is a physical world model that learns a compact discrete representation called 'physical language' from videos and uses it to reason about world state transitions before rendering future videos, improving physical coherence in generation and understanding tasks.