In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

Jason Lotay explains how mathematicians studying special geometries are collaborating with physicists to explore M-theory, an 11-dimensional description of the world that unifies the various string ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Anthony Battle is a CERTIFIED FINANCIAL PLANNER™ professional. He earned the Chartered Financial Consultant® ...

Physicists recently mapped the hidden shape that underlies the quantum behaviors of a crystal, using a new method that’s expected to become ubiquitous. Famously, at the quantum scale, particles can be ...

Complex question Could the geometry of chaos play a role in quantum physics and even be a fundamental property of the universe? (Courtesy: iStock/gremlin) Tim Palmer’s provocative proposal is that the ...