Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-28
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, no figures. Accepted to J.Math.Phys
Scientific paper
10.1063/1.1505666
The Dirac equation is not semisimple. We therefore regard it as a contraction of a simpler decontracted theory. The decontracted theory is necessarily purely algebraic and non-local. In one simple model the algebra is a Clifford algebra with 6N generators. The quantum imaginary $\hbar i$ is the contraction of a dynamical variable whose back-reaction provides the Dirac mass. The simplified Dirac equation is exactly Lorentz invariant but its symmetry group is SO(3,3), a decontraction of the Poincare group, and it has a slight but fundamental non-locality beyond that of the usual Dirac equation. On operational grounds the non-locality is ~10^{-25} sec in size and the associated mass is about the Higgs mass. There is a non-standard small but unique spin-orbit coupling ~1/N, whose observation would be some evidence for the simpler theory. All the fields of the Standard Model call for similar non-local simplification.
Finkelstein David R.
Galiautdinov Andrei A.
No associations
LandOfFree
Chronon corrections to the Dirac equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chronon corrections to the Dirac equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chronon corrections to the Dirac equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-124616