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OpenAI says it found the Exponential Time Hypothesis is false, alongside two other discoveries

TL;DR

OpenAI announced three new discoveries in mathematics, computer science and physics. The company says one of them shows that the Exponential Time Hypothesis, a longstanding conjecture, is false.

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OpenAI announced three new discoveries in mathematics, computer science and physics, including a result that the Exponential Time Hypothesis, a longstanding conjecture, is false.

According to OpenAI, the discoveries cover three areas:

  • Harmonic analysis (mathematics)
  • Complexity theory (computer science)
  • Quantum field theory (physics)

The Exponential Time Hypothesis result is the headline claim of the announcement. OpenAI describes the hypothesis as a longstanding conjecture and states that it is false.

The announcement is published on OpenAI's site under the title "Building scientific understanding with academic communities" (the URL slug). OpenAI describes all three items as new discoveries.

What this means

OpenAI is presenting results across three separate fields in a single announcement, and the Exponential Time Hypothesis claim is the one it chose to put first. The hypothesis is described as a longstanding conjecture, so a claim that it is false is a significant statement in complexity theory. The claims come from OpenAI, and the fields involved (harmonic analysis, complexity theory, quantum field theory) each have their own communities that will assess the results.

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