What question did this study set out to answer?

The aim is to resolve the Hubble tension between the Planck and SHOES measurements using Q-ball soliton dark energy.

April 15, 2026Open Access

Resolution of the Hubble tension from Q-ball soliton dark energy constrained by the CMB acoustic scale

Key Points

The aim is to resolve the Hubble tension between the Planck and SHOES measurements using Q-ball soliton dark energy.
Derived dark energy equation of state from Q-ball soliton cosmology.
Constrained the model to match the measured CMB acoustic angular scale.
Calculated the Hubble constant from the model with no free parameters.
Achieved a recalculated Hubble constant of 73.57 km/s/Mpc.
The result is within 0.5σ of the SHOES local measurement.
Resolved the 5σ discrepancy between Planck and SHOES measurements.

Abstract

This preprint presents a resolution to the 5σ Hubble tension—the persistent discrepancy between the Planck CMB inference (H0 = 67.4 km/s/Mpc) and the SHOES local distance-ladder measurement (H0 = 73.0 km/s/Mpc). We demonstrate that a dark energy equation of state derived from Q-ball soliton cosmology in a sextic potential, when constrained to reproduce the precisely measured CMB acoustic angular scale, yields a self-consistent Hubble constant of 73.57 km/s/Mpc with no free parameters. This result is within 0.5σ of the SHOES measurement.

Resolution of the Hubble tension from Q-ball soliton dark energy constrained by the CMB acoustic scale

Key Points

Abstract

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