Resolution of the Hubble tension from sinc2 soliton dark energy constrained by the CMB acoustic scale

This preprint addresses the 5σ Hubble tension — the persistent discrepancy between the Planck CMB inference (H0 = 67.4 km/s/Mpc, assuming ΛCDM) and the SH0ES local distance-ladder measurement (H0 = 73.0 km/s/Mpc). We show that a dark energy equation of state derived from sinc² soliton cosmology in a sextic potential, containing no parameters fitted to cosmological observables, when constrained to reproduce the precisely measured CMB acoustic angular scale, yields a self-consistent Hubble constant of 73.57 km/s/Mpc. This is compatible with the SH0ES measurement at 0.5σ within the framework assumptions, reducing the apparent 5σ tension to 0.5σ. The self-consistent solution gives Ωm0 = 0.2642, w0 = −1.120, wa = −0.359, and a universe age of 13.67 Gyr. A field-theoretic stability analysis of the resulting effective phantom equation of state is deferred to future work. BAO distance predictions at DESI redshifts are tabulated for direct observational comparison.