The Jeans Mass in Molecular Clouds Against the Density Bound: A Correction Fraction Seventy-Five Orders Below Unity

This paper addresses a single question: At what mass does a parcel of cold molecular gas become unable to support itself against its own gravity, and does the spin-torsion density bound alter that mass at any cloud condition actually observed? 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 thermal Jeans mass falls from about nine solar masses in diffuse cloud gas to about half a solar mass in dense cold cores, while the torsion correction, set by the ratio of cloud density to the bound density, stays near 10^-75 and changes the Jeans mass by far less than any observational uncertainty. The headline values are: M J typical Msun = 2.87; lambda J pc = 0.21; corr = 4.01e-75; M J range = 0.53 to 9.07; enhancement needed = 2.49e+74. 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.