Quantum Structural Theory of Harmony (QSTH 6.0) — The Info-Dim (I-Dim) Package: α_I-Dim Constant, Interface Transparency, Entropic Vacuum, and Ledger Boundary

This record publishes QSTH 6.0 — the I-Dim Package, a compact, operational framework that treats entropy as an organizing variable and introduces an auxiliary descriptive coordinate (I-Dim) for how realizable histories/trajectories are selected and stabilized. The central premise is that the mapping between I-Dim (option/trajectory space) and 4D geometry is not assumed to be direct; it is mediated by a structured interface (the entropic vacuum / ledger boundary) that performs information-to-geometry bookkeeping between a coherent ledger (ΔS_coh) and a reductive ledger (ΔS_red), yielding an effective readout (e.g., Λ_eff(t) and curvature/expansion channels). The package is organized for fast navigation and falsification: a Reader Map, minimal CORE definitions, and appendices that detail mediation and mapping layers. An operational pipeline is provided linking boundary encoding (“H-screen”) → I-Dim(EOS) → OMEG τ–g readout → effective observables, with emphasis on how residual structure can persist across a boundary-style coarse-graining. Two compact test handles are included: α_I-Dim, used here as a dimensionless coupling between Planck and cosmological vacuum scales (frozen as α_I-Dim ≡ l_P / L_Λ), and an interface transparency parameter describing regime-dependent permeability of the I-Dim→4D mapping. QSTH 6.0 introduces I-Dim as an auxiliary coordinate for trajectory selection and stabilization, and frames the I-Dim→4D link as a mediated interface (entropic vacuum / ledger boundary). The record includes a Reader Map, CORE notes, and appendices that translate the framework into an operational pipeline (H-screen → I-Dim(EOS) → OMEG τ–g → effective observables). Use this package to explore what residual structure can survive coarse-graining across boundaries, and to define falsifiable constraints on the model’s parameters. Scope: this bundle is a research artifact for testing and extension, not a complete microscopic theory of quantum gravity. Claims are stated as model choices with explicit boundaries; failure modes are intended to provide constraints. A mapping appendix offers conceptual translations to related operator/projection programs without claiming identity, only correspondence of motifs and test handles. Included files (PDF): QSTH 6.0 — α_I-Dim: Elementary Coupling (Core) QSTH 6.0 — Alpha Interface Transparency (Core companion) Appendix A — Entropic Vacuum Interface & I-Dim Mediation Note — Planckian Frontier & Ledger Boundary (stability/boundary windows) Appendix — Diagram Hilbert / EOTF: Mapping & Comparison Reader Map — Navigation and cross-links across the package 3 Diagrams Scope and intent:All claims in this package are presented in an operational/readout-facing manner, with explicit separation between (i) definitions, (ii) mediated mapping mechanisms, and (iii) boundary/stability considerations. The framework is intended as a structured research artifact: clear enough to test, extend, or falsify, and modular enough to integrate future constraints and observational channels. This bundle is presented as a preprint / research artifact intended for testing and extension; it has not undergone peer review 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