Supernova Momentum and Energy Against the Binding of a Parent Cloud: A Budget That Depends on Timing

This paper addresses a single question: Can one supernova supply the energy and the momentum needed to disperse the cloud that produced its progenitor, and how does the answer change with the mass of the cloud? 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 a single supernova releases roughly hundreds to thousands of times the binding energy of the clouds considered, so energy is never the limiting quantity; momentum is the tighter test, and one event supplies a substantial fraction of the momentum needed to expel a 10^5 solar-mass cloud but only a small fraction for a 10^6 solar-mass complex, so dispersal of the largest complexes requires multiple events acting over several million years - after the cloud has already lived most of its life. The headline values are: energy ratio small = 2923.1; momentum ratio giant = 0.03; vesc typical km s = 5.4. 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.