It seems to me that the mathematical field of Topology is on the cusp of ushering in significant breakthroughs in a wide range of important, practical endeavors. It is already widely used in some complex areas, such as networking and DNA analysis.
The Nobel Prize explanation uses breads (e.g. bagel, pretzel) to explain topology
Related Resource: CBC/Canada, Oct 2016
It cited the three for “theoretical discoveries of topological phase transitions and topological phases of matter.”
Topology is a branch of mathematics that describes properties of objects.
While most people are familiar with objects in three dimensions, the Nobel laureates analyzed materials so thin they have only two dimensions, or even one.
For example, Kosterlitz and Thouless showed that, against expectations, two-dimensional materials could conduct electricity without any loss to resistance. That property is called superconductivity.
Kosterlitz said he was in his 20s at the time and that his “complete ignorance” was an advantage in challenging the established science.
“I didn’t have any preconceived ideas,” he said. “I was young and stupid enough to take it on.”
Their analysis relied on topology, which is the mathematical study of properties that don’t change when objects are distorted. A doughnut and…
View original post 160 more words