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 ~ m_P, 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 η_B 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 − ρ_m(a)/[3ρ_DE(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.