I am developing an essay on music perception by approaching some mathematical and physical notions. As such, the term I am addressing and interested in is the "convergence", which pairs in mathematics (as far as I understood) with the notion of "discontinuity point".
I was wondering whether we could use in physics the term "convergence" as a synonymous of "accumulation" or "concentration". For example, I was wondering whether we could use the term "convergence" in association with "explosion", for example in the case of "accumulation of energy to a certain threshold"?
I have difficulties to find specific material that can help me support this associations of terms. I have found much material, but on specific topics, like "convergence of shock waves", "mathematical modeling and of converging detonation", but I would like to understand this from a more general and simpler approach.
Can someone help me understand the correlation among the terms "convergence" and "accumulation/concentration" in such a physical perspective? And find resources on where to find more information about this view?