An OpenAI model, without any specific mathematical training, solved a famous 80-year-old math problem. This proves general-purpose AI can autonomously produce landmark scientific results, not just accelerate human research. It signals a new era for discovery where AI is a primary research agent.

An AI model solved a complex gravity problem by being "seeded" with a recent paper on gluons. The AI understood the conceptual framework and successfully applied it to a different mathematical area, showing it can transfer high-level insights to accelerate follow-up research.

An AI model solved a particle physics problem that stumped scientists by simplifying a complex formula and proposing a general solution. This marks a shift from AI as a mere computational tool to a creative partner in theoretical research, which the physicists described as a "collaborator."

AI has reached a milestone by solving a theoretical physics problem that human experts were unable to resolve for over a year. This demonstrates AI's emerging superhuman capabilities in highly specialized scientific domains, marking a profound shift in research.

Physicists were stuck on a problem because manual calculations grew with factorial complexity, creating a messy, unmanageable formula. ChatGPT discovered an underlying elegant formula where complexity grows linearly, a simplification human researchers had missed for a year.

Rather than just replacing physics-based models, AI can be used to select the *correct* physics model. Heather Kulik's team uses the quantum wave function itself as an input to a neural network to predict which quantum mechanical approximation will be most accurate for a specific material, a complex task that defies simple heuristics.

Future AI-driven mathematical discoveries will likely follow two paths. One is finding 'lightning bolt' connections between existing, disparate fields (e.g., number theory and physics). The other, more profound path, is 'mountain building'—constructing entirely new theoretical frameworks, a skill signifying a much higher level of general intelligence.

AI is developing spatial reasoning that approaches human levels. This will enable it to solve novel physics problems, leading to breakthroughs that create entirely new classes of technology, much like discoveries in the 1940s led to GPS and cell phones.

OpenAI's Astra model solved 10 distinct, difficult problems in mathematics and computer science. Leading mathematicians confirmed that these were significant challenges they cared about. A human solving any single one would be impressive; a human solving all 10 would be unbelievable.