The Holographic Circlette: Part 17 — Topological Thawing and the Exact Geometric Derivation of the Dark Energy Trajectory wa

At the Big Bang (a->0), all four generation states are degenerate, enforcing w(0)=-1. The CPL parameterisation mandates wa=-1/4, giving w(a)=-1+a/4. This predicts finite Big Bang energy density (~2.117*rho0) and vacuum decay to a pressureless state at scale factor a=4. v2.0 (2026-06-12): an in-PDF dated status/erratum note has been added reflecting the June 2026 canon audit (DRIFT/ANCHOR ledger); see the paper's status note for the specific corrections, supersessions, or upgrades. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Energy trajectory/w(0) route superseded by current selector/CC status The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims.