P53: Ryu-Takayanagi Surface and Page Curve in CCEGA — Penington Island from Radion Geometry in RS1 Brane-World

We apply the Ryu-Takayanagi (RT) formula to CCEGA black stars in the Randall-Sundrum RS1 geometry. Two competing extremal surfaces are identified: a trivial surface on the IR brane and a non-trivial UV-anchored surface. Their crossing defines a Page transition at t_Page ~ 10^83 years for a 7 M_sun black star, with S_Page ~ 10^77 consistent with Bekenstein-Hawking. The rho_c surface acts spontaneously as a Penington island without being imposed — it emerges from the RS1 radion geometry. Exploratory result with all assumptions stated explicitly.