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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1903.04894 |
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Table of Contents:
- The time-translation symmetry of the conformal FLRW frame $\bar{g}=a^{-2}g$ allows reinterpretation of cosmological observation in the static space of a stationary universe, where constant matter density $\barρ_{\textrm{m}}=ρ_{\textrm{m0}}$ induces constant curvature $R_{0}^{-2}$. A hyperbolic de Sitter solution arises from equipartition of the kinetic energy of recessional and peculiar components of the gravitational field, corresponding to a total density $24R_{0}^{-2}$ of twice the scalar curvature. This predicts a matter density $Ω_{\textrm{m}}=\frac{1}{24}$, or a Hubble constant $h=\sqrt{24ρ_{\textrm{m0}}}\approx0.72$, in agreement with distance-ladder estimates. Projecting the equilibrium state onto the $Λ\textrm{CDM}$ model returns $\hat{h}=\frac{4}{3}\sqrt{12ρ_{\textrm{m0}}}\approx0.68$ and exact densities $\hatΩ_{\textrm{m}}=1-\hatΩ_Λ=[\textrm{sinh}(\frac{4}{3}\textrm{asinh}(1))^{2}+1]^{-1}=0.3179...$, within confidence limits of Planck 2018 results.