CMB B-Mode Consistency of a Torsion Bounce: Tensor-to-Scalar Ratio Implied by the Contraction History

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 microwave background already limits primordial tensors at the largest scales; this study converts a bounce contraction history into the tensor-to-scalar ratio that limit governs, and checks the two for consistency. The headline results of the computation are: r_limit = 3.60e-02, fiducial_r = 1.00e-02, max_consistent_H_over_Mpl = 1.0e-05. 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.