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The evidence for a spatially flat Universe

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arxiv 2002.06892 v1 pith:U5CPEWCO submitted 2020-02-17 astro-ph.CO hep-th

classification astro-ph.COhep-th
keywords planckuniverseflatspatiallyconstraintscurvaturedatageometrical
verification ladder T0 review T1 audit T2 compute T3 formal
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We revisit the observational constraints on spatial curvature following recent claims that the Planck data favour a closed Universe. We use a new and statistically powerful Planck likelihood to show that the Planck temperature and polarization spectra are consistent with a spatially flat Universe, though because of a geometrical degeneracy cosmic microwave background spectra on their own do not lead to tight constraints on the curvature density parameter Omega_K. When combined with other astrophysical data, particularly geometrical measurements of baryon acoustic oscillations, the Universe is constrained to be spatially flat to extremely high precision, with Omega_ K = 0.0004 +/-0.0018 in agreement with the 2018 results of the Planck team. In the context of inflationary cosmology, the observations offer strong support for models of inflation with a large number of e-foldings and disfavour models of incomplete inflation.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. BAO miscalibration cannot rescue late-time solutions to the Hubble tension

    astro-ph.CO 2025-10 accept novelty 6.0 of 10

    Even after rescaling BAO data to prefer H0≈73 km/s/Mpc, none of six tested late-time dark-energy models can resolve the Hubble tension once unanchored SNeIa and CMB geometry are included.

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    astro-ph.CO 2026-05 unverdicted novelty 5.0 of 10

    Latent-f and latent-H Gaussian process reconstructions from OHD data both yield f(z), w(z), and Om(z) consistent with Lambda-CDM, with no strong predictive preference and small prior-dependent residuals mainly at high...

  3. Exponential $f(R)$ cosmology with massive neutrinos as a dynamical dark energy framework

    gr-qc 2025-11 conditional novelty 5.0 of 10

    Exponential f(R) gravity with massive neutrinos fits current expansion data about as well as ΛCDM and yields slightly different H0 and Σmν constraints, but does not eliminate the Hubble tension.

  4. Late Time Dynamical Dark Energy and the CMB-Distance Ladder Tension

    astro-ph.CO 2026-07 conditional novelty 4.0 of 10

    The SNIa absolute-magnitude tension between the distance ladder (−19.204) and CMB+ΛCDM (−19.430) is independent of late-time expansion history, and DESI's w0–wa dark-energy hints shift H0 by only ~0.3–0.4 km/s/Mpc.

  5. Late-time cosmological constraints on three holographic dark energy models with DESI DR2 BAO and Type Ia supernovae

    physics.gen-ph 2026-07 accept novelty 4.0 of 10

    DESI DR2 and late-time data constrain HDE, ADE and RDE, yielding H0≈67–68 km/s/Mpc, c≈1, n≈2.8, γ≈0.54, with none resolving the Hubble tension or decisively beating ΛCDM.

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    astro-ph.CO 2026-07 unverdicted novelty 4.0 of 10

    Dynamical dark energy remains preferred across extended models while curvature, neutrino mass and inflation parameters show strong model dependence, with no resolution of the H0 tension.

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    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Kaniadakis entropic cosmology modifies early-universe dynamics and is constrained by its predictions for Starobinsky inflation and the primordial tensor spectrum using current CMB and gravitational-wave observations.

  8. The open-Universe signal: A model artifact rather than genuine curvature

    astro-ph.CO 2026-04 unverdicted novelty 4.0 of 10

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  9. QCD CP-violation scenario for a revised cosmological dynamics: analysis of the binned Pantheon Sample of Super Novae Ia

    astro-ph.CO 2026-07 reject novelty 3.0 of 10

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