Add Up Every Number From One To Infinity, And You Get...
Obviously, if you stop this series at any point before infinity, it will produce a very large number. But if you use certain methods of summation that can apply to divergent series, you will get a non-infinite answer of -1/12. Laboratory testing has proved this conclusion, and physicists all over the world have come across the result in string theory equations.
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Key Facts In This Video
The result of the infinite sum (1 + 2 + 3 + 4...) is used in string theory. 00:37
The result of the infinite sum (1 - 1 + 1 - 1 + 1...) is 1/2. 01:54
It's hard to conceive of an intuitive reason for why the infinite sum (1 + 2 + 3 + 4...) produces its strange result without writing out the proof. 06:38