TAGC–LQG–RG: Consolidated Core Architecture, Hard Core, and Canonical Semantics

This manuscript consolidates the architectural foundations of the TAGC–LQG–RG research programme (Theory of Gravity Anchored by Complexity – Loop Quantum Gravity – Renormalization Group). Following the three sequential decisions of May 2026, the universal critical threshold κc = 2.04 ± 0.05 is elevated to the status of a fundamental structural constant (HC2) and reinterpreted as a universal informational admissibility condition — the minimal condition for stable classical accessibility. The logical direction of the programme is inverted: κc is imposed, not derived. A transitional liminal regime LT is introduced as the formal mediator between the pregeometric unitary substrate L1 and the effective anchored GKSL sector L2. The hard core HC1–HC7 is stated in consolidated form. The four-level operational structure L1/LT/L2/L3 is defined, with explicit translation rules. A canonical dictionary of the programme’s key magnitudes is provided, together with a list of prohibited terms. The status of κc as a fundamental input is reaffirmed; RG fixed-point and spectral analyses are recast as cross-consistency verifications within the protective belt. This companion paper does not derive new predictions nor modify existing ones (P1–P5 remain unchanged). It serves as the canonical architectural reference under which all previous and future publications of the programme are to be read. It supersedes earlier architectural framings where in conflict, while preserving all technical content of the sectoral papers. The Canonical Glossary fixes the lexicon; both documents are canonical references for the programme.