Interaction–Locality Corridor: Composite Generator Structure, Coupling Slots, and Constraint-Preserving Dynamics

Kenneth Searcy

Published Feb 18, 2026• 0 citations

Abstract

Locality is a bookkeeping constraint: dynamics must avoid global ledger access. This paper continues the forced “corridor” sequence and derives an interaction–locality corridor for composite open-system dynamics. Building on tensor-class composition, entanglement, CPTP update laws, and the Lindblad-class generator slot, it shows: (i) in the non-interacting case, composite generators are pressured to be additive on subsystems (no hidden coupling); (ii) interaction enters only through a minimal coupling-residual slot beyond local parts; (iii) “locality” is forced as bounded ledger access, yielding k-local / bounded-degree generator structure on an interaction graph (a constraint graph, not a spacetime embedding); (iv) marginal consistency and corridor no-signaling constrain admissible local operations and interaction terms; and (v) coarse-graining stability requires coupling descriptions to be invariant under regrouping of outcomes and subsystem refinements. The result is a refinement-stable structural slot for interaction and locality without importing metric or relativistic axioms; specific physical Hamiltonians and spacetime locality are deferred.

DOI: 10.5281/zenodo.18684999

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