The Bonnor-Ebert Critical Mass at Observed Core Pressures and the Peak of the Core Mass Function

This paper addresses a single question: What is the largest mass a pressure-confined isothermal sphere can hold in equilibrium at the pressures measured inside molecular clouds, and does that maximum coincide with the observed peak of the prestellar core mass function? Using published molecular-cloud and young-stellar-object measurements as inputs, and carrying the spin-torsion density bound of 9.72 x 10^57 kilograms per cubic metre and its critical shear of 8.56 x 10^32 per second as fixed comparison scales, the calculation finds that the Bonnor-Ebert critical mass at 10 K and an external pressure of 3 x 10^5 K per cubic centimetre (in units of Boltzmann's constant) is close to one solar mass, matching the observed core mass function peak without any additional parameter, while the torsion density bound contributes a correction below 10^-76 and therefore cannot be the quantity that sets the peak. The headline values are: M BE typical Msun = 0.67; M BE range = 0.37 to 3.67; R BE pc = 0.033. All values are computed from the stated formulae and inputs; this is a simulated and computed study, not a measurement. Where the comparison scales supplied by the torsion framework turn out to be too remote to influence the process, that outcome is reported as a negative result rather than passed over.