After watching Budden get publicly executed for his AI-assisted Navier-Stokes claim, I almost didn't post this. But I have no reputation or academic career to worry about, so why not.
I'm not claiming I fully proved RH. I'm claiming I might have found the geometric reason it has to be true—and I built something you can actually play with.
The core insight: The critical strip isn't a strip. It's a torus. The functional equation ξ(s) = ξ(1-s) folds it. And zeros? They're not random points—they're caustic singularities trapped at the throat where the torus pinches.
What if RH was always a geometry problem disguised as number theory?
The Gram matrix has a cosh structure. That's not a coincidence. That's a throat.
Zeros are pressure minima. The critical line is a symmetry axis. This is fluid dynamics.
Riemann couldn't see it because WebGL didn't exist in 1859.
I visualized what he couldn't. Now I can't unsee it.
This connects RH to Navier-Stokes. Yes, that Navier-Stokes.
Two unsolved Millennium problems. Same geometric skeleton.
Coincidence? Maybe. But the visualization will haunt you.
Roast me. Cite me. Either way, look at this torus first.
kristintynski•1mo ago
Github repo with code/tests: https://github.com/ktynski/riemann-hypothesis-toroidal-proof
After watching Budden get publicly executed for his AI-assisted Navier-Stokes claim, I almost didn't post this. But I have no reputation or academic career to worry about, so why not.
I'm not claiming I fully proved RH. I'm claiming I might have found the geometric reason it has to be true—and I built something you can actually play with.
The core insight: The critical strip isn't a strip. It's a torus. The functional equation ξ(s) = ξ(1-s) folds it. And zeros? They're not random points—they're caustic singularities trapped at the throat where the torus pinches.
What if RH was always a geometry problem disguised as number theory?
The Gram matrix has a cosh structure. That's not a coincidence. That's a throat.
Zeros are pressure minima. The critical line is a symmetry axis. This is fluid dynamics.
Riemann couldn't see it because WebGL didn't exist in 1859. I visualized what he couldn't. Now I can't unsee it.
This connects RH to Navier-Stokes. Yes, that Navier-Stokes. Two unsolved Millennium problems. Same geometric skeleton. Coincidence? Maybe. But the visualization will haunt you. Roast me. Cite me. Either way, look at this torus first.
turtleyacht•1mo ago
kristintynski•1mo ago