The Tensor Power Spectrum Through the Bounce and the Expected B-Mode Signal at the Recombination Peak

This paper assembles the tensor power spectrum implied by the bounce calculations of the tensor amplitude and tilt, and converts it into the B-mode polarisation signal an observer would measure. With a tensor-to-scalar ratio of 0.011 at the pivot and a blue tensor tilt of 0.018, the ratio at the microwave scale k = 0.002 per megaparsec is r = 0.009272, because the ratio itself runs with the exponent 0.0531 set by the difference of the tensor and scalar tilts. The tensor power at the pivot is 2.31e-11. The expected primordial B-mode power at the recombination peak, multipole 80, is 0.00853 microkelvin squared under the stated conversion. At a wavenumber of one per megaparsec the ratio is enhanced by a factor 1.17 over its pivot value, the observable consequence of the blue tilt. These numbers place the predicted signal within the design sensitivity of the next generation of polarisation experiments, and they are stated here so that a detection or a bound can be compared with the bounce prediction without further modelling. The study is computed from stated assumptions, not measured.