Sinc2 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 localised standing-wave structures (sinc² solitons) of a complex scalar field with a sextic symmetry-breaking potential, occupying distinct vacuum states. Sub-threshold sinc² nodes constitute dark matter; crystallised true-vacuum nodes constitute ordinary matter. With fixed fiducial parameters (a, b) = (0. 3, 0. 15) and µ ~ mP, the framework predicts: a dark matter-to-baryon ratio of 6. 11: 1 against the observed 5. 36: 1 (a 14% discrepancy identified as a calibration target for non-equilibrium soliton-formation dynamics, outside the static framework used here) ; a baryon asymmetry ηB in the observed range, generated at the same crystallisation temperature as the lower edge of the electroweak sphaleron-active window; and a dark energy equation of state w (a) = −1 − ρₘ (a) /3ρDE (a) derived from an adiabatic surface-emission mechanism, with no parameters fitted to cosmological observables. Combined with the CMB acoustic angular scale (companion paper, DOI 10. 5281/zenodo. 19552014), the self-consistent solution gives H₀ = 73. 57 km/s/Mpc, w₀ = −1. 120, wₐ = −0. 359, compatible with SH0ES at 0. 5σ within the framework assumptions and testable by DESI at greater than 7σ precision by end of survey. A field-theoretic stability analysis of the resulting effective phantom equation of state is deferred. All outstanding gaps are explicitly catalogued in the paper.