Energy Budget of Bounce-Produced Gravitational Waves: Integrated Density Against the Nucleosynthesis Bound

This study computes a specific gravitational-wave consequence of a torsion-regulated bounce in Einstein-Cartan gravity, taking the limiting density for neutron matter, 9.72e+54 grams per cubic centimetre under the stated prescription, as its single input scale. A background can evade every detector band and still be forbidden, because its total energy density in the early universe would have altered the expansion rate during nucleosynthesis; this study applies that integral test to bounce spectra. The headline results of the computation are: BBN_bound = 1.80e-06, fiducial_total = 1.17e-06, fiducial_fraction_of_bound = 6.48e-01, n_allowed = 8, n_grid = 16. Each quantity is evaluated by the deposited script from the assumptions stated in the Methods, and the agreement or disagreement of each quantity with published observational bounds is reported at face value, including where the conclusion is that the channel examined is closed. The study is simulated and computed from stated assumptions; it is not a measurement, and no observational data were taken for it.