Physicists have built a real-number version of quantum mechanics that makes all the same predictions as the standard theory, ...

Physicists have built a real-number version of quantum mechanics that makes all the same predictions as the standard theory, resolving a question that's simmered since the field began.

Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

Mathematicians were disturbed, centuries ago, to find that calculating the properties of certain curves demanded the seemingly impossible: numbers that, when multiplied by themselves, turn negative.

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

The universality phenomenon reveals that certain complex functions arising in number theory—most notably the Riemann zeta‐function and a broad class of L‐functions—are astonishingly rich in analytic ...