Mathematics

How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

Quanta Magazine: foundations of mathematicsHow Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.July 15, 2021For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.Read LaterThere are an infinite…

The Mystery at the Heart of Physics That Only Math Can Solve

Quanta Magazine: Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field theories — the way “shape” covers specific…

Mathematicians Find Long-Sought Building Blocks for Special Polynomials

Quanta Magazine: Problems in mathematics often have a simple “yes or no” structure: Is this statement true or false? But the most enduring and interesting problems propagate through generations, the…

Direct image of an electron orbit in an exciton is a first, say researchers

Physics World: For the first time, researchers have captured an image of an electron’s orbital probability cloud within an exciton. Keshav Dani, and colleagues at Japan’s Okinawa Institute of Science…