P68: The Black Star Interior as a Geometric Equilibrium State — Baryonic Matter at ρc Sustained by the Saturated Radion Field

We analyze the physical state inside a CCEGA black star. The interior has three defining properties: uniform density ρ = ρc, saturated radion field φ = 1, and suppressed coupling G_eff = G_N e⁻¹. We term this a geometric equilibrium state (GES): baryonic matter sustained by brane geometry rather than pressure. It resembles a BEC (uniform order parameter, T ~ 10⁻³⁵ K) but differs fundamentally: coherence length ξ ~ 1974 fm (sub-nuclear), baryonic matter, non-zero G_eff. The open problem is computing the radion fluctuation spectrum δφ(r,t) to determine the energy gap. Near M_crit, this gap is predicted to vanish (zero mode), connecting to the critical transition of P66.