The Emergent Geometry Sub-Programme

The emergent geometry sub-programme of the Cosmochrony corpus addresses a single central question: how does the admissible Weil–Heisenberg fibre give rise to an effective four-dimensional Lorentzian geometry? Starting from the admissibility filter q acting on the Weil representation V_ of Heis₃ (Z/qZ), the sub-programme closes the following chain: \ q \;\; V_ L² (Z/qZ) \;\; Heis₃ (R) \;\; L₄₅₅ \;\; g^ \;\; g^ = 2^. \ This note maps eleven constituent papers (Q5a, Q5a-O2, Q5b, Q6b, Q7–Q11, U1, W1, H2) across five internal phases and records the status of every result. The remaining open items are not obstructions to the admissible-sector metric closure. They concern, respectively, the finite-q bridge formulation and the extension of the Q5a Mosco tightness control from the admissible sector to the full function space.