OpenAI models prove 30-year math conjecture in all dimensions

Artificial intelligence systems have historically assisted in data processing, but OpenAI announced on Monday that its models independently generated new mathematical proofs and physical theories. The company stated that these findings represent concrete scientific advances rather than pattern recognition exercises.

The most notable result involves the local smoothing conjecture in harmonic analysis. Researchers had previously confirmed this proposition only in three spatial dimensions. OpenAI reported that its models extended the proof to every spatial dimension for the first time. Harmonic analysis is a branch of mathematics that decomposes complex signals into elementary waves. The company also claimed its models disproved the Exponential Time Hypothesis, a core assumption regarding the time required to solve complex computational problems.

In physics, the models provided mathematically rigorous proof of the existence of quantum chromodynamics. This theory describes the interaction between quarks and gluons. OpenAI said it contacted scientists outside the company to convert the raw research data into peer-reviewed scientific understanding. Three expert groups, described as shepherds, advised on the release strategy.

The mathematics and computer science teams opted to make the AI-generated data public immediately. The physics group chose to delay the release to write their own interpretation of the findings. OpenAI acknowledged that these different approaches involve tradeoffs in how quickly results reach the academic community. The company, valued at $852 billion, noted that choosing initial experts creates an asymmetry of information among researchers.

Alex Iosevich, a mathematics professor at the University of Rochester, identified the solved conjecture as a historic development. He noted that the problem was formulated by his doctoral adviser, Chris Sogge. Iosevich described his initial reaction as a shock, followed by joy and optimism. He expects theoretical mathematics to change drastically due to the AI revolution.

Iosevich admitted to feeling a twinge of sadness regarding the shift in the field. He said many theoretical mathematicians share this sentiment but believe it will give way to the realization of new capabilities. He argued that problems in pure mathematics often arise from concrete physical considerations and that AI allows these connections to be explored rapidly and decisively.

This announcement follows a series of claimed scientific breakthroughs credited to AI. Last month, Anthropic announced the discovery of a new enzyme resembling CRISPR. That finding drew mixed reactions from scientists, with some hailing it as an exciting development and others suggesting the company exaggerated its significance.