Effective Dynamics Corridor: Closed-to-Open Induction, Markov Compression, and the Lindblad-Class Slot

Kenneth Searcy

Published Feb 18, 2026• 0 citations

Abstract

Effective open dynamics emerges from compression, not mystery. This paper continues a forcing sequence that derives quantum-formal structure from refinement-stable bookkeeping constraints. Building on prior results (operator corridor, measurement corridor, composite-system corridor, open-system corridor, and open-system update corridor), it shows how a subsystem can exhibit a stable open evolution while the larger ledger evolves by closed norm-preserving updates. The core pressures are: (1) closed-to-open induction (reduction of a closed composite to a subsystem), (2) open-tier no-full-recompute (effective updates cannot depend on unbounded environment history), and (3) time-homogeneous coarse-graining at the effective tier. These pressures drive the effective family of subsystem updates into a Markov/semigroup structure (up to corridor equivalence). Under a stabilized first-order content assumption at the effective tier, the evolution occupies a time-local master-equation slot. Finally, enforcing the already-derived CPTP constraints on the effective semigroup identifies the Lindblad-class (GKSL) generator slot as the conventional representation of the corridor-forced constraint class. The paper is representation-agnostic: it forces the constraint slot and clarifies what is derived versus deferred (conditions for Markov validity, non-Markov regimes, locality and symmetry constraints, and relativistic compatibility).

DOI: 10.5281/zenodo.18676419

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