What physicists mean when they say 1+2+3+... = -1/12pic.twitter.com/Noj5pEf1Ym
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I believe any divergent series can be written as f(ε) + o(g(ε))+ constant Where f(ε) ⇒∞ as ε⇒0
That’s Riemann’s reordering theorem, and it applies to changing the order of terms in an infinite series. Renormalization is procedure with a unique result.. Terrance Tao wrote at length about it
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Reordering is applied only for alternating series that converges conditionally..
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Right and conclusions about divergent series only apply to divergent terms.. just because 1/x diverges at x=0 doesn’t mean its meaning less to talk about it everywhere else
End of conversation
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