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OpenAI announces three science results, with different paths for academic scrutiny

OpenAI says its work challenges a long-held computer science hypothesis and addresses problems in mathematics and physics. Researchers will receive different materials to examine each claim.

An OpenAI logo seen through a magnifying glass.
A magnifying glass is held over an OpenAI logo in a file photograph taken May 22, 2023. OpenAI logo with magnifying glass (52916339167) — Jernej Furman from Slovenia, ‘OpenAI logo with magnifying glass’ (resized and converted to WebP). CC BY 2.0.Image sourceImage licence: CC BY 2.0
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OpenAI announced three claimed research results in mathematics, computer science and physics on October 26, according to Hindustan Times. The claims could challenge long-standing ideas in those fields, but the company is taking different approaches to having outside academics examine the work.

Hindustan Times reported that OpenAI says the Exponential Time Hypothesis, or ETH, is false. The Verge described ETH as a widely believed proposition in computer science. OpenAI also claimed results involving mathematical conjectures and a proof concerning quantum field theories, the two outlets reported.

How researchers will examine the computer science claim

The Verge reported that a group including Russell Impagliazzo and Ramamohan Paturi of UC San Diego, and MIT professor Ryan Williams, will guide verification of the computer science result. Impagliazzo and Paturi were among the researchers who proposed ETH in 1999, according to The Verge. The group chose to release an AI-produced write-up and a Lean proof on GitHub, giving other researchers material to inspect.

OpenAI described its broader approach as asking external experts to act as ‘shepherds’ who organize groups to understand the results, Hindustan Times reported. The company said the experts recommended different ways to proceed for each field, rather than a single release process.

What OpenAI has released in mathematics and physics

For mathematics, The Verge reported that OpenAI posted a result on local smoothing for the Euclidean wave equation. Its published description connects the proof to Kakeya conjectures and Stein’s spherical restriction estimates. Hindustan Times reported OpenAI’s claim that it had resolved the Kakeya and Stein restriction conjectures in all dimensions. The company’s approach here is to release AI output for researchers to work through, according to The Verge.

The physics result had not been released in full when The Verge reported on it. The outlet quoted OpenAI’s description of a mathematically rigorous existence proof for certain interacting quantum field theories in four dimensions, including quantum chromodynamics. According to The Verge, David Gross will lead a group with Michael Douglas, Arthur Jaffe, Igor Klebanov and Nikita Nekrasov to examine that work.

These are OpenAI’s claims about its results and its plans for scrutiny. Outside examination of the released proofs and the fuller physics work will determine how researchers assess them.

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