On Kaluza-Klein relativity (Q1074890)

Mathematically, the author introduces a new tensor \(b_{ik}\) instead of the spacetime tensor \(g_{ik}\). This tensor is viewed as a metric of a 4-manifold embedded into \(M_{4+n}\) (n\(\geq 10\), for singularities to be included). The Gauss-Codazzi-Ricci equations then yield equations \(R_{ij}-I/2b_{ij}R=t_{ij}(b)\), \(D^ i[D_ i,D_ j]=J_ j(b)\). Physically, these new quantities \(t_{ij}\) and \(J_ j\) are discussed and interpreted as some ''sources''. No theorems are given.