Least Null Trajectories in Lorentzian Geometries and their Application in Physics
Abstract
The EulerLagrange formulation for extremum trajectories can be applied also in the case of null trajectories. In Physics the null trajectories result in equations of motion and equations describing the evolution of the system. We show that in Cl(1, 4) the theory of fundamental interactions are the geometric conditions derived from considering leastnull trajectories for the description of a system in relation to the observer and the system's environment.
 Publication:

Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2
 Pub Date:
 September 2009
 DOI:
 10.1063/1.3241592
 Bibcode:
 2009AIPC.1168..785K
 Keywords:

 02.10.v;
 02.60.Ed;
 02.60.Lj;
 Logic set theory and algebra;
 Interpolation;
 curve fitting;
 Ordinary and partial differential equations;
 boundary value problems