  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
$\bar{\rho}_{\textrm{m}}=\rho_{\textrm{m0}}$ 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 $\Omega_{\textrm{m}}=\frac{1}{24}$,
or a Hubble constant $h=\sqrt{24\rho_{\textrm{m0}}}\approx0.72$, in agreement
with distance-ladder estimates. Projecting the equilibrium state onto the
$\Lambda\textrm{CDM}$ model returns
$\hat{h}=\frac{4}{3}\sqrt{12\rho_{\textrm{m0}}}\approx0.68$ and exact densities
$\hat{\Omega}_{\textrm{m}}=1-\hat{\Omega}_{\Lambda}=[\textrm{sinh}(\frac{4}{3}\textrm{asinh}(1))^{2}+1]^{-1}=0.3179...$,
within confidence limits of Planck 2018 results.
