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Why do you think a series which absolutely converges but whose first few terms are a poor approximation is related to a series which diverges but whose first fe
by mkarrmann 2y ago
Why do you think a series which absolutely converges but whose first few terms are a poor approximation is related to a series which diverges but whose first few terms match the empirically expected value?
Not only is it a stretch to wonder about parallels between a basic Calc II concept and Quantum Field Theory, but is seems like the exponential function is the exact opposite of the example you provided.
- antognini 2y agoI was being a bit loose in my language, but I was more specifically thinking of the connection to "resurgence theory" which aims at understanding more complicated kinds of apparently divergent infinite sums. See this article for a popular overview: https://www.quantamagazine.org/alien-calculus-could-save-particle-physics-from-infinities-20230406/ https://www.quantamagazine.org/alien-calculus-could-save-par...