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I have no idea what your background is, so I deliberately used an accessible and completely non-technical metaphor.
Would you have preferred that I barf jargon which nobody outside the field understand?
you don't even have any SN bio, so figuring out your level of understanding just from reading your comments will take way more time than I can reasonably justify spending right now.
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Sure, coding does require abstract math. But does it require Connes' rigidity conjecture?
I like your example of the invention of the jet engine. The invention of the jet engine improved my quality of life by a lot. Will the solution to Connes' rigidity conjecture lead to any invention as impactful to the jet engine?
I hope it does. But i don't know.