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A claim encountered in informal discussion of bouncing cosmologies holds that a bound capping the density of collapsing matter must, by symmetry, also set a floor under the density of expanding regions, so that voids could not empty beyond some limiting contrast. This paper states the claim plainly and shows that the arithmetic defeats it. The bound enters the effective density as a correction whose fractional size at a density rho is rho divided by the bound density. At the centre of a typical void, contrast minus 0.85, that fraction is 4.15e-86; even at contrast minus 0.99 it is 2.77e-87, because the bound exceeds the present mean density by a factor of 3.62e+84. A correction of that size cannot floor anything: the effective density in a void differs from the ordinary density in roughly the fifty-second decimal place, and the observed central density of 0.150 of the mean is set entirely by gravitational evacuation dynamics, whose linear extrapolation for an old perturbation reaches -1.01, signalling the nonlinear regime where real voids live. There is no floor from the bound, and emptiness is limited by time and dynamics, not by the ceiling on compression. All values are computed from stated assumptions, not measured.
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William Alexander Aldred (2026) studied this question.
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