A forced-structure route from quantization constraints to a Schrödinger-class update law. This preprint continues the Forced Sequence / Corridor program. It derives an operational “local update” corridor that avoids global recomputation, then shows how refinement stability constrains admissible updates into a linear, norm-preserving class with a phase-bearing generator. The result is presented as a structural slot (what must hold under the corridor constraints), not as an assumed physical postulate. Prior papers in the sequence provide the prerequisite corridor objects and invariants.
A forced-structure route from quantization constraints to a Schrödinger-class update law. This preprint continues the Forced Sequence / Corridor program. It derives an operational “local update” corridor that avoids global recomputation, then shows how refinement stability constrains admissible updates into a linear, norm-preserving class with a phase-bearing generator. The result is presented as a structural slot (what must hold under the corridor constraints), not as an assumed physical postulate. Prior papers in the sequence provide the prerequisite corridor objects and invariants.
A forced-structure derivation of corridor-consistent measurement updating from the Born slot. This preprint extends the Forced Sequence / Corridor program beyond closed evolution. Given the Born extraction rule and the operator corridor (local, linear, norm-preserving closed updates), it derives a refinement-stable conditioning update for registered outcomes: the state updates by normalized outcome filtering under an interface-cut. The paper defines a collapse-class slot by four constraints: (1) Born-consistent outcome weights, (2) coarse-graining invariance (no partition-sensitive tie-break dependence), (3) exhaustiveness as weight preservation at the prediction tier, and (4) single-summary bookkeeping closure at this stage of the series (with mixed-state extensions deferred to composite/open-system corridors).
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).
Quantum structure follows from refinement-stable bookkeeping, not postulates. Soft selection is forced when corridor-level action ties make hard selection require forbidden tie-break (micro-history) data. The corridor therefore retains all admissible configuration classes and aggregates them using action-only weights. Interference stability pressures a phase-bearing carrier, concatenation stability pressures exponential phase weights, and gauge-meaningful scalar prediction forces quadratic magnitude extraction (the Born slot). No Hilbert axioms, path-integral primitives, or calculus limits are assumed.
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.
This paper continues a constructive “forced-sequence” program that introduces only representational structure required by earlier residues and refinement-stability constraints. Building on (i) a minimal phase-bearing carrier with a quadratic yield map, (ii) closed evolution as yield-invariant internal update with unitary/antiunitary symmetry pressure, and (iii) refinement corridors that force compressed transport and germ connection fields, the paper isolates the next forced step: refinement-stable closedness. If a transport family represents internal (closed) evolution under arbitrary refinement, then yield preservation must persist at the germ level (the “yield corridor”). Using a tier-based (non-limit) notion of first-order content and an explicit accumulation principle for repeated near-identity composition, the paper derives infinitesimal symmetry pressure: admissible germ generators of closed transport must lie in the infinitesimal symmetry class of the quadratic yield structure. Specializing to the minimal complex-carrier realization, this yields a Hamiltonian corridor: germ generators are constrained to the antiunitary-compatible infinitesimal class underlying norm-preserving phase evolution, without assuming Hilbert space axioms, Schrödinger dynamics, derivatives, or a continuum limit as primitives. Finally, the paper imposes a residue-closure constraint: interaction residues (graded bracket / curvature-tier contributions) must remain admissible under the yield corridor at their proper tier.
This paper extends the Forced Sequence / Corridor program to composite systems. After deriving the Born slot, local linear norm-preserving closed evolution (Schrodinger-class slot), and interface-cut conditioning (collapse-class slot), the next forced step is composition: how two subsystem ledgers combine without introducing forbidden tie-break structure. The paper shows that subsystem superposition compatibility, composite superposition closure over product generators, and Born-consistent factorization on product states force a tensor-class product slot for the composite carrier. This yields an entanglement slot: composite summaries need not factor into a single product, and non-factorability is the corridor definition of entanglement. The paper also derives the corridor form of local conditioning in composites: a local outcome registration updates the joint ledger by normalized filtering, changing conditional predictions for the other subsystem as bookkeeping rather than superluminal dynamics. Open-system reductions, density-matrix style bookkeeping, and interaction-generator selection are deferred to the next forced corridors.