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

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.