The Entropy of a Bounced Core: Thermal Entropy at the Aldred Limit Against the Area Bound

Assigning the bounced core's energy density entirely to heat, the most entropy the core can hold, a 1.4 solar mass core at the Aldred Limit carries a thermal entropy of 7.371e+47 in units of Boltzmann's constant, or 0.0 per baryon. The Bekenstein-Hawking entropy of a black hole of the same mass is 2.056e+77, larger by a factor that makes the core's thermal entropy a fraction 3.585e-30 of the area bound. The bounced core is therefore nowhere near saturating the holographic entropy limit: it is an ordinary, if extreme, thermal object whose entropy budget leaves the area bound untouched. This matters because the interior of a collapsed object is sometimes argued to be forced toward the area bound; at the Limit, with the density capped and the temperature ceiling computed from the same bound, the entropy falls short of the area value by dozens of orders of magnitude, and no such pressure exists. Computed from stated assumptions, not measured.