OK @John, thanks.
could you please higlight regarding "In category theory, compact closed categories are a general context for treating dual objects",the notorius examples of dual objects on the context of applications " PERT charts , electrical circuits and control theory" ? In your perception, tensoring x composing (and or series x paralell) could be framed as related to duality? Duality could be related to opposite limits (closure) on the frame of the "compact closed" terminology?

You recently presented "Profunctor theory is to category theory as linear algebra is to set theory!". Is there some others analogies like this on that you could present for us? best