For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Light is usually described using quantum mechanics when phenomena like entanglement enter the picture. But a new paper shows ...

The textbook uses examples from Indian monuments and cultural contexts to explain key concepts of the subject, including Baudhayana’s theorem on right-angled triangles ...

Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...

New research from UBC Okanagan mathematically demonstrates that the universe cannot be simulated. Using Gödel’s incompleteness theorem, scientists found that reality requires “non-algorithmic ...

Digital identity verification and transaction security platform Proof is launching Certify, a new cryptographically secure digital identity tool. Launched on Thursday, Proof says Certify enables ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Pi Day (March 14) is a day of global mathematical celebration, but ...

Pi Day (3/14) often comes with sweet treats; Square Root Day (4/4/16 or 5/5/25, for example) has a certain numerical rhyme. But the particular string of numbers in today’s date may be especially ...

Back in 1971, the late physicist Stephen Hawking made an intriguing prediction: The total surface area of a black hole cannot decrease, only increase or remain stable. So if two black holes combine, ...

Stephen Hawking’s 50-year-old theorem on how black holes merge together has been successfully tested thanks to huge advances in gravitational wave astronomy, which helped astronomers catch the waves ...

After the revelation that he was part of a secret chat, Vice President JD Vance’s focus wasn’t on the security breach. Instead, it seemed to be concern that he had questioned his boss. By Zolan ...

The original version of this story appeared in Quanta Magazine. The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the ...