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Generalized Minkowski space with changing shape

2012/11/17 by Ákos G. Horváth, Horváth, Ákos G.
Physics and Astronomy · #46C20 #46C50 #53B40 #FOS: Physical sciences #General Physics (physics.gen-ph) #msc:46C20 #msc:46C50 #msc:53B40 #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1212.0278

38pages,2 figures

arxiv created 2012/12/18 · arxiv updated 2012/12/19

Abstract

In earlier papers we changed the concept of the inner product to a more general one, to the so-called Minkowski product. This product changes on the tangent space hence we could investigate a more general structure than a Riemannian manifold. Particularly interesting such a model when the negative direct component has dimension one and the model shows certain space-time character. We will discuss this case here. We give a deterministic and a non-deterministic (random) variant of a such a model. As we showed, the deterministic model can be defined also with a "shape function".

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