A Blue Tensor Tilt Through the Bounce: Deviation From the Inflationary Consistency Relation and Its Detectability

The single-field inflationary consistency relation, nt = -r/8, is one of the few exact statements in primordial cosmology. This paper computes the tensor spectral index predicted when tensor modes pass through a torsion-regulated bounce, and quantifies how far the prediction sits from that relation and whether the difference can be measured. The bounce transfer gives a blue tensor tilt, nt = 0.018, where the consistency relation at the reference ratio r = 0.012 predicts nt = -0.0015. The deviation is 0.0195. A mode-counting estimate over multipoles 2 to 100 at half sky gives a forecast uncertainty on the tensor tilt of 0.0482, so the deviation corresponds to 0.4 standard deviations for a cosmic-variance-limited measurement of that size: large enough to matter as a target, not large enough to promise a near-term verdict. A confirmed blue tensor tilt would exclude the entire single-field inflationary class in one measurement, which is what makes this small number worth computing carefully. The study is computed from stated assumptions, not measured.