The Pulsar-Timing Window on a Torsion Bounce: Nanohertz Tail Amplitude Against the Reported Common Process

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. The reported nanohertz common process is treated here strictly as a comparison level: the question is whether a bounce tail could account for it, exceed it, or fall far below it, and each answer carries a different consequence. The headline results of the computation are: Omega_reported_at_1_per_yr = 7.98e-09, fiducial_Omega_3nHz = 9.00e-16, fiducial_ratio = 1.13e-07, f_1_per_yr_Hz = 3.17e-08. 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.