Holographic Information Count of a Bounce Patch and the Surviving Fraction

This paper examines how the area-law count for a bounce patch compares with a naive volume count at the Limit density, and what fraction can be described as surviving. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. For the reference patch the two counts differ by many orders, and the area count is the tighter statement at large radius. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.