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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.
22:08 · 10 июля 2026 г. · 178,3 тыс. просмотров
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