Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\Lambda$CDM as image of open de Sitter, and how it predicts
  cosmological parameters and the H0 tension   The de Sitter universe presents a cosmological model with many favorable
properties. It follows as the unique cosmological solution from conservation of
energy within the apparent horizon, with Minkowski spacetime as its local
limit. Employing Painlev\'e-de Sitter coordinates,the freely falling observer
in de Sitter observes flat space and gravitational curvature of time, instead
of spatial curvature and flat time in FLRW-coordinates. Open de Sitter can be
mapped onto a flat LCDM model by a coordinate transformation. This involves
only two numbers: $\alpha=2$ to represent the time dilation between the
observer and the de Sitter horizon, and $\beta=2/3$ in the transformation of
curvature energy to matter energy (dust). Assuming identical time coordinates
of the two models gives a unique solution with an exact density of dust
$\Omega_{\textrm{m}}=[1+\sinh^{2}(\frac{4}{3}\,\textrm{asinh}(1))]^{-1}=0.3178...$,
which agrees with the Planck 2018 estimate
$\Omega_{\textrm{m}}^{\textrm{Planck}}=0.315\pm0.007$. The same mapping shows a
ratio $0.8926$ between the Hubble constants of both models, which agrees with
the ratio $h_{\textrm{Planck}}/h_{\textrm{LOC}}=0.9104\pm0.0247$ between the
LCDM model dependent Planck 2018 estimate and the model independent local
estimate by Riess et al., and so suggests a possible origin of this H0 tension.
The local estimate of the Hubble constant is further shown to be in agreement
with a decomposition of nonlocal energy in open de Sitter, so that
$h_{\textrm{dS}}$ can be derived from the Planck estimate of the physical
density $\Omega_{\textrm{b}}h^{2}$, yielding $h_{\textrm{dS}}=0.7332\pm0.0016$,
which matches $h_{\textrm{LOC}}=0.7403\pm0.0142$. The dual character of the de
Sitter universe (evolutionary vs. static) is considered in light of these
result.

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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio