Tuesday, March 19, 2013

Reconstructing quantum mechanics is finally here!!


Here is the line of argument

It is based on a "fixed point" mathematical argument.

The laws of nature are the same regardless of how we assemble subsystems into a larger one, or how we partition a system into subsystems. This is the core idea. There are three possible solutions:

  • Hyperbolic (not present in nature)
  • Parabolic (classical mechanics)
  • Elliptic (quantum mechanics)
The result is based on the algebraic formulation of quantum mechanics which is a better formulation over the Hilbert space formulation in view of Araki-Haag-Kastler axioms and Haag's theorem.

Sunday, March 10, 2013

Today it is my sad duty to announce that Gerard Emch passed away on March 5, 2013

Here is the official announcement:


Professor Emch had fundamental contributions in the algebraic approach to quantum mechanics and here are two important books he wrote:

Mathematical and Conceptual Foundations of 20th-Century Physics
Algebraic Methods in Statistical Mechanics and Quantum Field Theory

Here is his mathematical genealogy entry:


His passing represents a great loss for the mathematical and physics community.