ABSTRACT
This chapter examines the scalar product of our tuple vectors in such a way that the complete Laplace operators will be reproduced. For non-constant metrics, however, our new Klein–Gordon equation obtains additional derivatives in dependence on the metric. It must be emphasized that this result is questionable, because it contradicts the idea of the O vectors, whose intention it was to result in independent separable operators and but which led to funny results. As the Schwarzschild metric, for historic as well as scientific reasons, is one of the most important Einstein field solutions, the chapter provides the complete generalized Klein–Gordon equation for this metric. The square of the scale parameter determining the principle uncertainty of a system has to be multiplied with the tensor component one intends to quantize. The structure of the solution and its connection with the permanent deformation of space shows an interesting pattern possibly explaining the mass differences of the leptons.
