Condensate Density Ceiling as a Laboratory Analogue of a Cosmological Density Bound

This paper computes, from stated assumptions and published experimental scales, the central quantities for the system named in the title. The headline computed values are: tau_mid = 2.50, tau_high = 0.025, ratio_mid = 1.48e-63, rho_mid = 1.44e-05. Each value is produced by the deposited calculation script from constants of nature and from input scales drawn from published analogue-gravity experiments, and each is compared in the text with the scale that limits its validity and with the density-ceiling frame in which a maximum density near 9.72e54 grams per cubic centimetre arrests gravitational collapse on the neutron branch. The study is simulated and computed, not measured: no new experimental data are presented, and the results should be read as quantitative expectations against which laboratory work can be planned and judged. Where the computed effect is too small, too slow, or too fragile to observe with present apparatus, the paper states that verdict plainly rather than qualifying it away.