3Blue1Brown may touch on that in the video I can't remember. There are even some flavors of quantum mechanics that base their mathematical framework off p-adic number systems since these odd sums appear so often.
12 STRINGS THEORY SERIES
Astonishingly, in this system, the series actually does converge. String theorys biggest triumph is still its first one, unifying Einsteins lordly gravity that curves the cosmos and the quantum pinball game of chance that lives inside it. There is another way to make sense of this result using a 2-adic number system. My Uke Turms into a howling Wolf at 12 ukulelemnchen muenchen www.strings. In a sense, it is not that the zeta function function evaluated at -1 that equals -1/12, but that the analytically continued zeta function evaluated at -1 that equals -1/12. Instagram photos and videos from Strings Theory (stringstheorymusic). However, you can uniquely analytically continue some complex functions, that is, define a new function within the problem region that meshes very nicely with the well-behaved region. Note that you can't use this definition of equality for a diverging series since the sequence of partial sums blows up. Normally, we say an infinite series equals a finite value a if the sequence of partial sums approachs a. There is a YouTube video by 3Blue1Brown on analytic continuation with regard to the zeta function that I think better explains the -1/12 result. Some argue that their calculations are wrong and the sum really is infinity. String theory describes how these strings propagate through space and interact with each other. Over the last couple of years there has been allot of traffic on youtube about the sum of all positive integers being equal to -1/12 as is explained in numberphile video. In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.
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