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.
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.