Open Quantum Structural Theory of Harmony (QSTH 6.13) — OMEG Constraints & Windows (Model A)

QSTH — Publication 6.13: OMEG Constraints & Windows (Model A) This publication presents QSTH 6.13 as a verification-first OMEG engine: a structured and reproducible framework built around declared windows, declared gates, and an exclusion map, with κ(Γ) treated as a falsifiable regime gate for Λ_eff(z) rather than as a freely adjustable fit function. The central aim is not to add tuning freedom, but to specify what should count as a genuine signature versus what may be only a pipeline artifact. In the OMEG framework, κ(Γ) maps a control argument Γ — understood as a window/scale proxy — into an effective response Λ_eff(z) ∝ κ(Γ(z)). The key methodological choice is that κ(Γ) is treated as gate-like: the model expects thresholds, plateaus, and stability windows, not an arbitrarily smooth post-hoc fit. This turns QSTH 6.13 into an exclusion-first test: either the data support stable windows and regime transitions, or the model fails. QSTH 6.13 serves as the verification roof over the broader OMEG bundle. The publication is organized as a modular pack: 6.13a — DIAMOND CORE: scope discipline and constraints hygiene 6.13b — Model A: constraints and windows 6.13c — Appendix: constant table and behavior-metric layer 6.13d — Tech Note: OMEG Light-Box as a table-top operational device Its audit posture is explicit: if κ(Γ) is physically meaningful, one should observe threshold-like behavior, sharp transitions, or stability windows in selected observables. PASS/FAIL must be tied in advance to declared windows and thresholds; post-hoc tuning counts only as INCONCLUSIVE until independently reproduced. The main product of this logic is the exclusion map — the set of windows that survive without special pleading. Within the broader QSTH sequence, 6.13 follows the audit framework of QSTH 6.9, the dimensional discipline of QSTH 6.10, the formal invariant language of QSTH 6.11, and the 2D→3D reconstruction logic of QSTH 6.12, where it is explicitly positioned as the next verification engine in the line 6.9 → 6.14. This Zenodo record is intended as the main publication record for QSTH 6.13, with the accompanying ZIP bundle serving as the modular technical and archival supplement. Related QSTH Zenodo records (recommended entry points)QSTH 1.0 — Foundational Publication — DOI: 10.5281/zenodo.17455814QSTH 1.0 — Horizon Set — DOI: 10.5281/zenodo.18015679QSTH 4.1 — Planckian Horizon 2.0: The Entropic Bridge between Quantum and Cosmological Reality — DOI: 10.5281/zenodo.17899867QSTH 5.2 — OMEG: The Operational Metric Plane of Entropic Geometrodynamics — DOI: 10.5281/zenodo.17937840QSTH 6.0 — The Info-Dim (I-Dim) Package — DOI: 10.5281/zenodo.18156387QSTH 6.1 — Entropic Zero (E0) & Entropic Stars — DOI: 10.5281/zenodo.18165254QSTH 6.2 — Vacuum as an Entropic Ledger and the Origin of Baryon Asymmetry — DOI: 10.5281/zenodo.18641674QSTH 6.3 — Ledger Reality Reconstruction: I-Dim Mediation, DM/DE, and Arrow-of-Time Diagnostics (with the Eddington Paradox) — DOI: 10.5281/zenodo.18646924QSTH 6.4 — QSTH vs. Feynman Diagrams — DOI: 10.5281/zenodo.18648120QSTH 6.5 — Planckian Horizon 2.0 as a Ledger Boundary — DOI: 10.5281/zenodo.18649631QSTH 6.6 — Planckian Horizon 2.0 as an Operational Entropic-Coherence Principle — DOI: 10.5281/zenodo.18701036QSTH 6.7 — Variational Entropic Lagrangian (R10) — DOI: 10.5281/zenodo.18715255QSTH 6.8 — Mendeleev Table of Relationships among Physical Constants — DOI: 10.5281/zenodo.18762028QSTH 6.9 — I-Dim Elementary Coupling and Semi-I-Dim Classification of the Fine Structure Constant α ≈ 1/137 — DOI: 10.5281/zenodo.18864069QSTH 6.10 — The Fifth Dimension as an Account: A Ledger Formulation in (3+1)D — DOI: 10.5281/zenodo.18871791QSTH 6.11 — The Galois Ledger: Horizon Projection Π : Ω → 𝓛, Gauge Redundancy G, and Operational Invariants S/T/J — DOI: 10.5281/zenodo.18879079QSTH 6.12 — The Emergence of Dimensions as an Entropic Reconstruction — DOI: 10.5281/zenodo.18899448