The source review assessment identifies implementation in an Einstein–Boltzmann calculation, such as a suitably modified CLASS workflow, as an important next stage. Naming that software does not establish that a working MQ implementation or a completed likelihood analysis already exists.

Background quantities describe the overall expansion and average content of the model. Perturbations describe deviations that produce temperature and polarization patterns, lensing, and the growth of structure. A model can reproduce a background value while predicting an unacceptable perturbation spectrum.

The stated validation program includes microwave-background temperature and polarization spectra, lensing, baryon acoustic oscillations, the matter power spectrum, and growth observables. These comparisons must use a consistent model and document shared data and parameter dependencies. They cannot be replaced by adding separate agreements into a single informal significance claim.

This boundary matters for reporting earlier MQ results involving cosmic age, background temperature, or geometric domain fractions. Those are specific constructions and consistency checks. They are not equivalent to a demonstrated fit to the full information used in contemporary precision cosmology.