Tensor Potential Description of Matter and Space, II Semi-guage and the Law of Conservation
Abstract
Considered a unified field theory approach describing matter and space (metric tensor) by means of a 3-index tensor Pijk. It is shown that if the Lagrangian has partial U(1) gauge (semi-gauge) of the type Pijk->Pijk+a δij φ,k+b δik φ,j+cgjkgmi φ,m where a,b,c are constants, then the Euler equations of motion contain the covariant low of conservation in the form Jk;k=0.
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