Is there a Jordan geometry underlying quantum physics?
This is a survey paper, designed for physicists, on what I call
"Jordan Geometry", taking up the original ansatz of Pascual Jordan to
formulate quantum mechanics in terms of the later so-called Jordan algebras.
There are some remarkable similarities with other approaches to the
"Geometry of Quantum Mechanics", but also some important differences.
I put forward some speculations suggesting that these differences
might shed some new light on foundational problems in the usual formulation
of quantum mechanics (as described, for instance, by R. Penrose,
"The Road to Reality", New York 2005).
W. Bertram < bertram@iecn.u-nancy.fr >