October 26, 2016 Colloquium

A royal road to quantum theory (or thereabouts)

Dr. Alex Wilce, Susquehanna University, Selinsgrove, PA

Abstract: This talk fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, after a quick review of the probabilistic apparatus of quantum theory, I show how to obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple and reasonably transparent assumptions. This provides a framework within which real, complex and quaternionic quantum mechanics can play happily together, and allows some --- but not too much --- room for more exotic alternatives. Partly joint work with Howard Barnum and Matthew Graydon.

References: arXiv:1206:2897, arXiv:1606.09306, arXiv:1606.09331

Location: Stager Hall Room 215, Franklin & Marshall College

Time: 4:00 - 5:00pm