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 ...

The techniques he developed in the field of complex numbers have found use in tackling a wide range of fundamental equations in physics. By Kenneth Chang Joseph J. Kohn, who played a key role in ...

In 1886 the mathematician Leopold Kronecker famously said, “God Himself made the whole numbers — everything else is the work of men.” Indeed, mathematicians have introduced new sets of numbers besides ...

(via Sabine Hossenfelder) Complex numbers are created when you add a real number and an imaginary number (like “i”). These numbers are used throughout math and physics, notably in the Schrödinger ...

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 ...

Bicomplex analysis, an extension of traditional complex analysis, investigates functions defined on bicomplex numbers – entities formed by a pair of complex units. This framework enriches classical ...