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🚨 AI MAY HAVE JUST SHATTERED A MATHEMATICAL BELIEF THAT STOOD FOR 80 YEARS. A geometry problem posed by legendary mathematician Paul Erdős in 1946 may have just been overturned… by an AI. The problem sounds simple on the surface: How many pairs of dots can exist on a flat plane while all being exactly the same distance apart? For decades, mathematicians believed there was a strict upper limit to how fast those equal-distance pairs could grow. But OpenAI’s internal model found something unexpected: There may be no universal limit at all. Using high-dimensional geometry and abstract number structures far beyond human visual intuition, the AI generated hundreds of pages of rigorous reasoning showing you can create vastly more unit-distance relationships than experts ever thought possible. Why this matters: It challenges one of the longest-standing open problems in discrete geometry. It shows AI isn’t just solving known problems faster it’s discovering entirely new mathematical territory. It raises the real possibility that machines can now explore abstract realities humans never even thought to search for. The deeper implication is almost unsettling: For centuries, mathematics was considered the purest form of human reasoning. Now AI may be helping expand the very boundaries of proof itself finding truths no human mind can fully grasp intuitively. What happens when machines start discovering mathematical realities that feel alien even to the mathematicians who study them?

TheNewPhysics

15,516 views • 1 month ago