Tuesday, May 7, 2019

Physicists write currency banker algorithm


In a wire, electrons rebound off each other in such a complicated fashion that there’s no way to follow exactly what’s happening.
But over the last 50 years, mathematicians and physicists have begun to grasp that this blizzard of movement settles into elegant statistical patterns. Electron movement takes one statistical shape in a conductor and a different statistical shape in an insulator.
That, at least, has been the hunch. Over the last half-century mathematicians have been searching for mathematical models that bear it out. They’ve been trying to prove that this beautiful statistical picture really does hold absolutely.
And in a paper posted online last summer, a trio of mathematicians have come the closest yet to doing so. In that work, Paul Bourgade of New York University, Horng-Tzer Yau of Harvard University, and Jun Yin of the University of California, Los Angeles, prove the existence of a mathematical signature called “universality” that certifies that a material conducts electricity.
This is derived from the same concepts that drive banking theory, and this approach, simplified for currency banking can be derived from the Lindbldian.  I hand wave the algorithm in one of the posts to the right on this blog.  Electronic charge in a conductor is a queueing problem.  The solution is a pocked channel solution, the tree trunk concept I talk about with my abstract algebra tree.

The physicists are observing the process and work the equation different, the currency banker is is part of the process.

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