QSTH 8. 0 should be read as the core opening text of the new QSTH 8. x series. It is not an isolated side project, but a deliberate return to the roots of the Horizon Set after the passage through the QSTH 7. x closure branch. While 7. x developed primarily the inner mechanics of closure, settlement, admissibility, and Λₗock, the 8. x line returns to the outer architecture of the same process: the horizon, dimensionality, the information layer, and the question of in what architecture closure can become structurally admissible at all. The central claim of this publication is that Horizon Set P3–P6 should not be read merely as four invariants placed side by side, but as a bundled invariant architecture: a compact package of portable horizon handles whose real strength lies in their interlinkage. In this framework, the horizon begins to be read not only geometrically, but also through state, regime, entropy, and structural readability. P3 introduces the M-independent state label κ (Γ), P4 opens access to the Planckian and limiting layer, P5 condenses the temperature–length baseline into the portable signature ℛ, and P6 transforms entropy into effective structural entropy rather than leaving it as pure area bookkeeping. The revised appendix structure now strengthens this core in a more coherent order. Appendix A provides the hardest and most immediate baseline reinforcement by showing that the classical black-hole triplet — horizon size, Hawking temperature, and Bekenstein–Hawking entropy — already contains hidden closure relations, baseline normalizations, and regime bridges for P3–P6. In this sense, the classical triplet is not merely historical background, but a genuine baseline layer for the Horizon Set. Appendix B gathers the strongest higher-order candidates above the fixed core, especially XH, αI-Dim, and the candidate directions of horizon information and dimensional settlement. Appendix C then provides the formal and audit-oriented language of the Galois Ledger, clarifying the roles of projection, redundancy, record, and boundary readability. Finally, Appendix D preserves the more exploratory future structural geometry module, including the hexagonal closure layer, π as regulator, R7 knots, and the 2D→3D structural lift, while keeping this geometry explicitly outside the fixed core of the theory. Just as important is what QSTH 8. 0 does not claim. It does not claim that the definitive fifth horizon invariant is already known, that the list of invariants is already final and closed, or that candidate markers such as XH should automatically be promoted to full invariant status. On the contrary, one of the main methodological lessons of the present text is that some of the strongest future advances may take the form of closure relations, overlap constraints, interface parameters, and crossover markers rather than a simple inflation of the invariant list. In this sense, QSTH 8. 0 is best understood as a bridge framework: a disciplined transition from geometric horizon reading toward a more quantum-structural reading of the horizon. It opens the 8. x series with a strong source core, anchors that core through a classical baseline, extends it through interface and formal layers, and still leaves room for later geometric development without forcing premature closure. That is precisely why this text should be read not as a final synthesis, but as a carefully structured threshold publication for the next stage of the QSTH horizon program.
Rostislav Stepanik (2026) studied this question.