SMRTR Science & EngineeringNov 2, 2025Wired

The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures

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Douglas Hofstadter discovered the fractal "Hofstadter butterfly" pattern in 1974 using a desk calculator to solve quantum mechanics equations, revealing connections between electron energy levels and mathematical structures called Cantor sets. Mathematicians recently proved this quantum fractal appears in real-world physics experiments, confirming deep links between number theory and quantum behavior.

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