Q-ball soliton cosmology in a sextic potential: dark matter ratio, baryon asymmetry, and a testable dark energy equation of state

A framework in which matter and dark matter are stable Q-ball solitons of a complex scalar doublet field with a sextic symmetry-breaking potential, occupying distinct vacuum states. False-vacuum Q-balls constitute dark matter; true-vacuum Q-balls constitute ordinary matter. From two inputs — the electron mass and Planck mass — the framework derives: a mechanism consistent with the dark matter-to-baryon ratio 5.36:1; a locked correlation between the dark matter ratio and baryon asymmetry; a parameter-free dark energy equation of state (w₀ = −1.153, wₐ = −0.460) testable by DESI Year 5; and the SU(3) colour group from rotating wave energy minimisation. All outstanding gaps are explicitly identified.