SMRTR Science & EngineeringMay 11, 2026Quanta Magazine

How Unknowable Math Can Help Hide Secrets

SMRTR summary

Mathematical unknowability — the idea that some problems can never be solved — turns out to have real-world applications in cybersecurity. Building on Kurt Gödel's 1931 incompleteness theorems, which proved that some mathematical truths can never be proven, researchers are now using similar "undecidable" problems as the foundation for encryption, making certain secrets theoretically impossible to crack.

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