Counting Mixmaster Epochs Before a Torsion Bounce: How Much Bianchi IX Chaos Fits Above the Bounce Density

The simulated mean logarithmic density gain per era is 1.387. Between nuclear saturation density and the neutron spin threshold there is room for 38.7 eras; between the nucleosynthesis density scale and the neutron threshold, 54.4 eras. Against the electron threshold the counts are 27.8 eras from nuclear density and 43.5 eras from the nucleosynthesis scale. Varying the mean gain by a factor of two in either direction moves the nuclear-to-neutron count between 19.3 and 77.3 eras. In every case the count is finite and modest: tens of eras, not the unlimited sequence of the classical singularity approach. The study is a computation from stated assumptions, performed by the accompanying script; it is simulated, not measured.