Universal Emergent Gravity — The Primordial Thermodynamic Relic: Identifying the Necessary Conditions for f_cryst to emerge from Verlinde's Formalism

Identifies the conditions necessary for a cosmological crystallisation of the de Sitter elastic medium at z* = 1.2526, producing a cold component Ω_RTP = 0.266 — the Primordial Thermodynamic Relic (PTR). The Virial Entropic Conjecture predicts z* without free parameters from BBN (Ω_b) and Verlinde's equipartition factor (2/D). Four observational tests (V1–V4) are presented: V2 coherent with 6 independent BBN sources (χ²/N=0.10), V4 compatible with Lyman-α constraints (m > 5.7 keV). The monotonicity theorem (dF/dφ < 0, QED) identifies the missing theoretical ingredient. Questions Q1–Q3 for Verlinde are precisely formulated.