Simplicial Euclidean Relativistic Lagrangian
arXiv:gr-qc/9407015
Abstract
The paths on the {\bf R} real Euclidean manifold are defined as 2-dimensional simplicial strips; points are replaced by 2-simplexes and the orbits of the action of a one discrete-parameter group on the base manifold becomes a convex polyhedron attached to a 2-dimensional simplicial complex. The Lagrangian of a moving mass is proportional to the width of the path. The special relativistic form of the Lagrangian is recovered in the continuum limit, without relativistic Lorenz invariance considerations.
9p., TCILatex