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This research bridges abstract mathematics and quantum physics by modeling Riemann's zeros as dynamic phase transitions within a specific molecular system, offering a novel physical framework to tackle one of science's oldest problems. By mapping mathematical properties onto real-world quantum matter, the study suggests potential pathways for calculating complex zeta-function values using quantum algorithms, which could impact fields ranging from cryptography to fundamental physics understanding.
Гипотеза Римана оказалась законом физики : как математика 165 лет назад предугадала динамические фазовые переходы в квантовых системах / Наука и космос / iXBT Live

In 1859, German mathematician Bernhard Riemann formulated a hypothesis that became one of the most significant unsolved problems in the history of science. This hypothesis concerns the behavior of a special mathematical function—the Riemann zeta-function. If the hypothesis is true, it explains precisely how prime numbers—numbers divisible only by 1 and themselves (for example, 2, 3, 5, 7, 11, 13)—are distributed among ordinary numbers. Today, hundreds of mathematical theorems and all modern computer security are built upon Riemann's hypothesis. In particular, encryption algorithms that protect banknotes, bank transfers, and other important information rely specifically on the properties of prime numbers. Illustration Source: www.bing.com Source: www.bing.com For 165 years, mathematicians have attempted to prove Riemann's hypothesis using pure logic…
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