OpenAI claims maths breakthrough on a famed 'Millennium Problem' (www.nature.com)

OpenAI has announced a significant breakthrough in mathematics by reportedly solving the Navier–Stokes existence and smoothness problem, a famous Millennium Prize Problem that deals with fluid motion equations. This milestone was unveiled on September 8, with OpenAI claiming that it demonstrated the possibility of certain fluids achieving infinite speed in a finite timeframe, a behavior that contradicts the physical realities of actual fluids. This finding not only showcases the capabilities of AI in tackling complex mathematical problems but also raises questions about the reliability of the Navier–Stokes equations under specific conditions. The development is noteworthy for the AI and machine learning community, especially as OpenAI's approach involved an unprecedented allocation of resources, employing around 10,000 AI agents to address this intricate challenge. Their solution came amid competing claims from researchers at institutions like Harvard and NYU, who utilized AI models like Anthropic's Claude and found similar results for a simplified version of the problem earlier that week. The implications of OpenAI's proof could reshape the understanding of fluid dynamics and the theoretical foundations of mathematics, reinforcing AI's role as a powerful tool in scientific research.