Remarks on Legal Entanglement: No-Signaling, Local Operations, and Legal Updates

Abstract: Godfrey and Sichelman propose a quantum-inspired framework, legal entanglement, to model coupled legal relations and interpretations, with quantitative proxies for modularity and information cost. We identify a specific technical issue in their account of formulative entanglement: legislation is modeled as a local operation on subsystem A that changes the reduced state of a distant entangled subsystem B (rho_B' != rho_B) prior to any measurement at B, presented as a departure from quantum no-signaling. In standard quantum mechanics, however, no-signaling holds for all local, trace-preserving operations, not only unitaries. This note states the correct no-signaling result, locates where the mapping becomes inconsistent, and proposes a repair that preserves the legal intuition: treat legislation as (i) a global update of the rule or constraint structure (altering the admissible state space or observables), and or (ii) an LOCC-style process (local operations plus public dissemination of authoritative classical information). We also connect this to an updating-first perspective that helps separate (a) physical locality or no-signaling from (b) institutional or semantic constraint propagation in legal systems.