Conserved quantities associated with conformal invariance for the Wheeler-Feynman two-body vector interaction

The purpose of this paper is to present a unified derivation for obtaining all of these conserved quantities based on their relationship to the group of conformal transformations. In addition to including the well-known demonstration that the inhomogeneous Lorentz group of transformations leads to the conserved energy-momentum vector and to the conserved angular momentum-Lorentz momentum tensor, this work shows that the dilation transformation leads directly to the conserved dilation scalar without scaling of the mass, which was required in the original derivation, and that the acceleration transformation yields the conserved conformal vector, which was previously obtained without explicit use of the acceleration transformation