r/puremathematics

Hi r/complexity,

I’m an independent researcher and I just published a paper introducing two new concepts:

CENTRILIZATION and the Trigonometric Paraboloid, as an approach to exploring the P vs NP problem.

Paper: https://doi.org/10.6084/m9.figshare.33287052

Published: August 19, 2026

Author: JohnDave Amper, 13 years old

License: CC BY 4.0

Abstract:

I propose CENTRILIZATION and use geometric properties of the Trigonometric Paraboloid

to argue for an asymmetry between P and NP.

I’d genuinely appreciate any technical feedback, rigorous critiques, or questions about the math.

I know this is a huge problem and I’m here to learn.

Thanks for reading!

Every natural number n has an endsegment {n+1, n+2, n+3, ...}. The first endsegments are

{2, 3, 4, 5, 6, 7, ...}

{3, 4, 5, 6, 7, ...}

{4, 5, 6, 7, ...}

...

Some defenders of set theory claim that the intersection of all endsegments is empty while no endsegment is empty. I call this statement matheology, a touchstone of irrationality.

Regards, WM

I feel like LEAN and MathLib have gotten super popular in the last year or so, curious as to why there isn't a subreddit yet...