@charliewood on Jean Écalle’s resurgence theory—how to go beyond the pertubation theory of divergent series in quantum field theory, to the underlying exact result—

https://www.quantamagazine.org/alien-calculus-could-save-particle-physics-from-infinities-20230406/

I can’t remotely keep up with this, but it strikes me as a very big deal.

#JeanÉcalle #DivergentSeries #QFT

I saw something interesting recently linking a bit of #maths with #computing.

The #DivergentSeries 1+2+4+8+᠁ = -1. To the uninitiated, this may seem crazy and completely devoid of meaning. However, look at the two’s complement representation of negative numbers. In particular, if you had a computer with arbitrary precision, you would get the binary representation -1 = 11111᠁ which is also the sum above.

https://en.wikipedia.org/wiki/Two's_complement
https://en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_⋯

#Mathematics #ComputerScience #MinusOne