Tying light from lasers into stable 'optical knots' Interference patterns between overlapping laser beams could transmit encoded information over thousands of feet through chaotic environments ...

While tying optical knots is still a technology in its infancy—they were only discovered about two decades ago—it has several potential applications. Information could be encoded into their ...

Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and ...

Knot gardens have a long history stretching back to Medieval times but really hit their stride during Tudor times, when they were popular in England and France. Despite originating as a way to ...

Researchers from Quantinuum have now developed an end-to-end quantum algorithm capable of solving a prominent problem in knot theory—a branch of mathematics for studying closed loops in 3D space ...

While knots are typically associated with shoelaces or tangled cords, researchers have demonstrated that they can also be formed using laser light beams. In a recent study published in Nature ...

Knots are generally understood to form due to twists and turns of long, flexible materials that keep shoes on your feet or frustrate your attempts at hanging holiday decorations. A beam of light doesn ...

Marrying a US citizen or green card holder once meant you had a smooth one-way ticket to the American Dream. But newlywed spouses can no longer expect to just hop on to a flight with a heart full ...

Patel’s Dorito-shaped tie. After all, the wide Windsor knot, a symmetrical loop about the size of a Labrador’s paw, has become the standard in the administration. Defense Secretary Pete ...