Bekenstein Bound Evaluated at the Limit Density: Maximum Information in a Bounce-Volume Region

This paper examines whether the Bekenstein bound, evaluated with the largest energy that can occupy a region without passing the Limit density, gives a finite and internally consistent information ceiling for centimetre-scale regions. 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. The centimetre reference region holds about 1.05e94 bits on this evaluation, and the count falls steeply with radius in the deposited scan. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.