Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems. It’s one thing to turn a cartwheel in an open field. It’s ...

The fabric of spacetime is roiling with vibrating quantum fields, known as vacuum energy. It's right there, everywhere we look. But could we ever get anything out of it? Two possiblities exist: either ...

Is it possible that pi is finite, but we haven't calculated it in full? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better ...

Randomness is a fundamental concept, with implications from security of modern data systems, to fundamental laws of nature and even the philosophy of science. Randomness is called certified if it ...