So we've been running our internal model on the Millennium Prize problems, more or less as a stress test. Tuesday morning, I got a message from the system saying it had a proof of the Navier-Stokes existence and smoothness problem, along with a Lean formalization. I'll be honest, I didn't believe it until I checked the work myself. This is the question that's been sitting there for ninety years: can a perfectly smooth, incompressible fluid in three dimensions develop a singularity in finite time? Not a discontinuity, not a shockwave, but a point where the velocity or vorticity becomes infinite? The continuum approximation of fluid motion breaks down at that point, and suddenly all the PDEs we've been using to model everything from airplane wings to ocean currents stop making physical sense. The proof is surprisingly elegant. Start with fluid at rest, apply a smooth force that stays bounded, and watch what happens. The system showed that under certain condit...

There's a moment, captured in a single line from that September 2026 announcement, where the Keep the Internet Free We Are Not Terrorists collective went from idealistic infrastructure project to designated terrorist organization overnight. The language is measured, almost bureaucratic at first—"we promised that we would try to resist as long as this was possible"—until the rawness leaks through in that second clause: "we would not back down as long as we could see options to stand our ground." That's the thing about resistance movements that started as tech projects. They don't announce themselves with manifestos or press releases. They begin with server lists and GitHub repositories, then somewhere along the way someone decides that keeping the internet free is an act of terrorism. The designation came without traditional violence, without the dramatic gestures you'd expect. Just a bureaucratic determination that hosting dissent infrastruct...

I've been covering AI for years, and one thing still blows me away: these systems can process hundreds of intermediate equations and store 3-digit numbers with ease, far surpassing human working memory capacity. It's not just the scale that's impressive, it's the fact that they can do this without getting tired or making careless mistakes. I mean, think about it - we're talking about machines that can juggle complex math problems and remember vast amounts of information, all at speeds that would be impossible for humans to match. But what's really interesting is that this capability is often overlooked in favor of more flashy AI applications, like natural language processing or computer vision. Don't get me wrong, those are impressive too, but there's something fundamental about a machine's ability to process and store information that feels like it should be getting more attention. I've been reading about the history of AI, and it's strik...