7.8. Cosmological homogeneity and the beginning
A common source provides a conceptual reason to investigate coordinated initial or boundary conditions. It does not calculate the primordial perturbation spectrum, the expansion history, or the observed distribution of structure. A cosmological model must specify a background evolution, fluctuations, and their coupling to matter, then compare them with observations.
Likewise, perpetual renewal and an initial cosmic epoch answer different questions. The first concerns what sustains or generates an event; the second concerns the large-scale history inferred from physical records. A model may discuss both without identifying every act of generation with a repetition of a hot Big Bang.
Central point. The constants programme is strongest when structural counts, responses, clocks, and gravitational normalization form one constrained calculation. The integers alone do not establish the physical identifications.