Scalar-Field Dark Matter Plus Early Dark Energy Model Remains Consistent With Planck H0 Value

The analysis employs a general interaction kernel proportional to the product of the kinetic terms of two scalar fields, one with quadratic potential for dark matter and one with Albrecht-Skordis potential for dark energy. MCMC sampling shows the early dark energy fraction is suppressed below detectable levels and the scalar dark matter mass is forced into the regime where it mimics cold dark matter. Best-fit chi-squared values remain statistically indistinguishable from Lambda-CDM, leaving the Hubble tension unresolved at the Planck value near 67 km/s/Mpc. The kinetic coupling introduces an energy-exchange channel absent in most early dark energy literature, yet the posterior still favors zero coupling. This outcome aligns with earlier Planck-only analyses of non-interacting EDE but extends them by testing a broader class of potentials and kernels simultaneously. The result implies that any resolution of the Hubble tension via early dark energy will require either different interaction forms or additional data sets sensitive to pre-recombination physics. Future DESI year-five BAO and CMB-S4 polarization measurements will tighten the early dark energy density bound by roughly a factor of three. If those data continue to favor Lambda-CDM values, the parameter space for kinetically coupled scalar models capable of raising H0 will shrink further. Conversely, a persistent local Hubble measurement above 72 km/s/Mpc would increase tension with this class of models.