New Bounce Size Estimate for the Pulsating Universe

Mathematics – Logic

Scientific paper

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Scientific paper

The pulsating model introduces an energy-momentum tensor for the vacuum that differs from the standard cosmological term and also quintessence. Although like them, it exhibits negative pressure, unlike them, its energy density is negative. It is of the same form as the CMB radiation tensor, but opposite in sign. When it dominates the CMBR, it gives rise to a bounce (for a flat or open universe), and for a closed universe, an infinite succession of bounces. Since the theory does not predict bounce size, one has to estimate. If the bounce is sufficiently small, and hence the background temperature is high enough to disintegrate heavy nuclei, presumably formed in the previous cycle of the universe, so that standard initial conditions for nucleosynthesis prevail, then the net mass at the bounce can be, depending on Ω, about the mass of a galaxy (due to cancellation of mass by vacuum energy), and the bounce size would be that of its Schwarzschild radius. However the model does not permit the universe to be accelerating at the present epoch, and hence disagrees with the predominant interpretation of the Type Ia supernovae observations.

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