TAGC–LQG–RG: Consolidated Core Architecture, Liminal Transition, and Recalibrated Predictions (2026)

This paper consolidates the TAGC–LQG–RG research programme following three decisions adopted in May 2026. First, the universal critical threshold κc = 2.04 ± 0.05 is established as a fundamental structural constant (HC2), not derivable from deeper dynamics. Second, κc is reinterpreted as a universal informational admissibility condition for stable classical accessibility, reframing the programme around informational admissibility and emergent anchoring interpreted via GFT sectors. Third, an architectural audit identifies five structural tensions (T1–T5) in earlier formulations; these dissolve under a refined view of κc as a gradual critical onset, introducing a transitional liminal regime LT between the unitary substrate dynamics L1 and the coarse-grained anchored dynamics L2. The consolidated hard core (HC1–HC5) is restated. HC4 is interpreted as effective‑local in L2, effective non‑Markovian in LT, and strictly unitary in L1. The hierarchy Anchoring → Accessibility is established, with A[Ψ] treated as an emergent observable. The master equation adopts a smooth onset profile of width δreg replacing the Heaviside step in the critical regime. The canonical normalisation Amin = 8πγ√3 ℓ²P at jmin = 1/2 is adopted as the reference convention, implying recalibration of the black‑hole remnant mass Mrem ≈ 0.648 MP and the ER↔EPR throat threshold, while predictions independent of Amin remain unchanged. Seven open problems define the research agenda. The paper maps the programme’s relation to thirteen previous manuscripts and references the 2026 Canonical Glossary as the authoritative source for terminology, level structure and recalibration. This work establishes the consolidated framework for subsequent TAGC–LQG–RG research.