Russian Federation
According to generally accepted concepts, the Universe evolved from a cosmological singularity with a Planck density of ρPl ~ 5∙1093 g/cm3. Estimates of the Planck density achievable in various models are compared. The density of the Planck mass quasiparticle (PMQ) – the maximon ρm ~ 1.2∙1093 g/cm3 is comparable to the density of a closed 3-dimensional spherical singularity ρs ~ 1093 g/cm3 (~5 times lower than the Planck density), following from the Einstein equation for a simplified cosmological model of elliptical space, adapted to spherical space. Thus, the transition from flat space to an extended 3-dimensional spherical space of equal radius, while maintaining the mass of matter, will reduce its density by 3π/2 ≈ 5 times. It is shown that the singularity of the Planck radius, realized in a 3-dimensional spherical space, can be filled with 4 PMQs.
singularity, Planck density, Einstein's cosmological model, spherical space
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