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If a bounce changes only the very early expansion history, do the distances and lensing kernels that govern cosmic shear change at all? This paper computes comoving distances to source planes, finding 3401 Mpc to redshift 1 and 5312 Mpc to redshift 2, and evaluates the effect of modifying the expansion rate above redshift 50: the fractional change in the distance to redshift 1 is 0.0000 percent. By contrast, modifying the expansion rate above redshift 2 changes that distance by 0.0 percent. The lensing kernel for a typical source sample peaks at 1850 Mpc. The conclusion is a plain negative result: an early bounce supplies no change to lensing geometry, so no distance-based or kernel-based shear test can detect it; any detectable imprint must arrive through the perturbation spectrum or the growth history, not through geometry. All quantities are computed from stated assumptions, not measured.
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William Alexander Aldred (2026) studied this question.
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