What physicists mean when they say 1+2+3+... = -1/12pic.twitter.com/Noj5pEf1Ym
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Hi mister, if I am not mistaken, it is dangerous to play with infinite series in this way - unless you are joking. It is there are several unsafe steps in this pic.
Everything I have written here is in terms of epsilon, and hence is finite. There are no questionable steps here, as the process of renormalization is rigorously defined. c.f Terrence Tao’s post on renormalization
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With all due respect, mister, I doubt what you've shown here, maybe bcs my ignorance, maybe not. If I am not mistaken, there is a theorem saying that, for infinite series with (what?) property, one can manipulate that series to make it look like it converge on ANY GIVEN NUMBER
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You’re thinking of Riemann shuffling theorem. I at no point manipulated a divergent quantity.
End of conversation
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