Entropy Growth per Cycle in a Cyclic Bounce and the Heat-Death Avoidance Test

The claim of identical eternal cycles fails the arithmetic. With any positive production per cycle, successive cycles are larger and longer, the sequence terminates against the entropy maximum after a finite computed number of cycles, and running the sequence backward reaches implausibly small cycles after a finite count as well. Exact repetition requires exactly zero production, which no irreversible process in the contents supplies. The computation is performed from stated assumptions in a density-limited bounce, in which the neutron-branch limit density sets a maximum density, a finite bounce temperature, and a minimum horizon size. Headline values from the deposited calculation are: dS_fraction_per_cycle = 0.05; cycles_to_max_entropy = 1.56e+03; cycles_back_to_floor = 69.7; verdict_identical_eternal_cycles = fails. The study is simulated and computed, not measured, and its conclusions are stated at the precision the stated assumptions support.