Whether the Density and Temperature Ceilings Alter the Collapse of the First Star-Forming Halos

A cosmology in which density and temperature have upper bounds raises an obvious question for the first structures: do the bounds interfere with the collapse of the small halos in which the first stars formed? If they did, the whole standard account of first-star formation would need revision at its starting point. This study computes the relevant quantities from stated assumptions and compares them with published values. The headline results are: halo virial density kg m3 = 4.96e-21; ceiling density kg m3 = 9.72e+57; density ratio = 5.10e-79; virial temperature K = 10000; T ceiling K = 3.28e+22; temperature ratio = 3.05e-19. Both ratios are vanishingly small: the halo density sits about seventy orders of magnitude below the ceiling density, and its temperature about twenty orders below the temperature ceiling. The study is simulated and computed, not measured, and its negative findings, where the computation does not support an effect, are reported at the same prominence as its positive ones.