Does this imply that the Sv numbers from the article are the artifacts of potential fixed point theorems that describe or relate to the physical systems the Sv

Does this imply that the Sv numbers from the article are the artifacts of potential fixed point theorems that describe or relate to the physical systems the Sv non-dimensional numbers appear in, or my apples to oranges comparison is really an example of what someone would describe as a fixed point? Someone dropping the right math link often makes my taking on the risk of being dumb in public worth it, so thank you!