Mathematics as a lingua franca is useful and I believe you are
correct; ultimately, I suspect all mathematically based systems
_will_ be mappable to each other if they are sufficiently
comprehensive.
The only flaw I really see is its closed Universe. Platonic.
Timeless. Eternal. Not really a 'flaw' per se but the map
remains a map, even if a highly detailed one with great power of
prediction. It'll still have the gap. The block view of
Spacetime won't have any trouble with it.. because it too is a
mathematically based conceptualization. but other views of Time
and experience may.
Then again, the map *is* the territory ultimately for we utilize
the map as we navigate the territory. Even without a map, we
simply write the map in our minds as we go along. Still a map,
still navigating territory, both combined, superimposed, even if
not expressed in any language but the internal pattern making
processes in the brain.
