Quantum Structural Theory of Harmony (QSTH 1.0): Horizon Set — Four Invariants for Horizon Thermodynamics and Entropic Geometry

This Zenodo record publishes the QSTH Horizon Set 1.0 as a compact bundle of four portable, regime-tagged invariants (“handles”) for horizon thermodynamics and entropic geometry. The set is presented as a diagnostic toolkit—with explicit comparison logic, regime labeling, and falsifiable targets—not as a final unifying equation and not as a set of established constants. The purpose is practical: to provide a minimal, audit-friendly way to (i) compare horizon definitions across regimes, (ii) diagnose regime transitions, (iii) state testable/failed-test outcomes, and (iv) keep the interpretation layer explicitly optional Rather than offering one grand “unifying equation,” the Horizon Set provides a minimal, reproducible frame for: comparing competing horizon definitions and regime labels, checking internal consistency between geometry, entropy bookkeeping, and effective thermodynamic limits, standardizing entropy/information reporting conventions across micro–interlayer–macro descriptions. The CORE intent is conservative: the invariants are designed to reduce to standard results under null outcomes, and to highlight where a proposed mapping breaks (regime drift, inconsistent entropy accounting, or non-robust parameter dependence). Shared conventions apply across the set, including dimensionless entropy reporting (Δs ≡ ΔS/k_B) and a fixed methodological stance on basis/encoding choices when relevant, treated as a control rather than a metaphysical claim. In this sense, the Horizon Set functions as a “calibration board” for horizon thermodynamics and entropic geometry: it aims to make QSTH-style statements auditable, comparable across datasets and papers, and falsifiable at the level of well-defined extraction pipelines. What’s in the files. This record is a bundle: (i) one short overview/master note (how-to, conventions, and regime labels) and (ii) four companion invariant notes with definitions, worked examples, and test pathways. The pack is written as a portable CORE toolkit—handles, extraction rules, and falsification targets—rather than as settled constants. Included invariants (companion files): (1) Planckian Horizon, (2) M-Independent Horizon, (3) S_eff Horizon (effective entropy equation), and (4) Temperature–Length R-Signature. CORE register: the invariants are proposed as test handles (portable, regime-tagged diagnostics), not as established fundamental constants yet. Next steps focus on regime-overlap consistency tests, numerical sanity checks, and clearly stated observational pathways to enable falsification. 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