NEWS: xAI's Grok 4.5 has constructed an explicit counterexample to hypercontractivity on the 4-sphere, solving a mathematical gap that previ…

NEWS: xAI's Grok 4.5 has constructed an explicit counterexample to hypercontractivity on the 4-sphere, solving a mathematical gap that previously existed between dimensions 4 and 12. Running on xAI's V9 architecture with 1.5 trillion parameters, the model proved that the smoothing property of the Poisson semigroup fails at dimension 4, effectively closing a dimensional transition that had remained unverified in prior mathematical literature. https://cryptobriefing.com/grok-4-5-hypercontractivity-counterexample/

Source: Elon Musk (X) | 2026-07-10