arXiv subjects
Publications and source records attributed to Kurt Koltko.
A simplified mathematical approach is presented and used to find a suitable free-field Lagrangian to complete previous work on constructing a gauge theory of CPT transformations. The new Lagrangian is a slight but important modification of the previous candidate. The new version satisfies an additional requirement which had been overlooked and not satisfied by the previous candidate.
A new force is proposed in order to explain galactic rotation curves. CPT is chosen as the underlying symmetry of the new force because it is a universal spacetime symmetry. Local CPT transformations are presented for the Dirac field (matter) and the vierbein describing curved spacetime. A nonvanishing variation of the Dirac action in curved spacetime is thus derived. Because the metric spin connection of general relativity cannot accommodate the variation induced by the local CPT symmetry, a new gauge field is introduced. The transformation of the new field is derived which implies the new field is massless. Experimental speculations based on the zero mass of the new gauge field are presented. It is shown that one type of Yang-Mills Lagrangian density is not invariant under local CPT transformations.