Hubble tension: the shape wall

arXiv:2607.21244 · astro-ph.CO, gr-qc, hep-ph, hep-th · Submitted 2026-07-23 · Read on arXiv

astro-ph.CO, gr-qc, hep-ph, hep-th

Submitted: 2026-07-23

Updated: 2026-09-04

Comments: 24 pages, 18 sub-figures arranged into 4 figures, many references

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hubble Tension — 31× in this paper · explained in 9 episodes
• Calibration — 6× in this paper · explained in 7 episodes
• Consistency — 6× in this paper · explained in 3 episodes
• No-Go Theorem — 6× in this paper · explained in 2 episodes
• Benchmark — 5× in this paper · explained in 2 episodes
• Baryon Acoustic Oscillation — 3× in this paper
• Robustness — 2× in this paper · explained in 5 episodes
• Cooperation — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Cosmic Microwave Background — 1× in this paper
• Degeneracy — 1× in this paper · explained in 3 episodes
• Gaussian Processes (GPs) — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Model-Agnostic — 1× in this paper · explained in 2 episodes

Sources

• Tensions between the Early and the Late Universe
• Cosmology Intertwined II: The Hubble Constant Tension
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Challenges for $\Lambda$CDM: An update
• A buyer's guide to the Hubble Constant
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Hubble Tension: The Evidence of New Physics
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• A tale of many $H_0$
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• The Hubble tension: A decade review
• The H 0 World Cup. I. Summary of the baseline group stage results
• The H 0 world cup. II. A comprehensive competition between proposed Hubble tension solutions
• Cosmology Intertwined III: $f \sigma_8$ and $S_8$
• Arbitrating the $S_8$ discrepancy with growth rate measurements from Redshift-Space Distortions
• KiDS-Legacy: Cosmological constraints from cosmic shear with the complete Kilo-Degree Survey
• Status of the $S_8$ Tension: A 2026 Review of Probe Discrepancies
• The Local Distance Network: a community consensus report on the measurement of the Hubble constant at 1% precision
• SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G Main field
• A Lockdown Perspective on the Hubble Tension (with comments from the SH0ES team)

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