| Abstract | This chapter presents a new theoretical approach for the description of multi-dimensional objects. These objects are characterized by various attributes such as speed, mass density and electromagnetic field distributions. The approach consists of the following steps. Firstly, a tensor is associated with the energy-momentum (mass + motion + field) content of each object. Secondly, a Riemannian space is built from this tensor. Next, a set of invariant quantities is constructed from the Riemannian curvatures associated with the Riemannian space from which a new statistical representation is built. This representation is invariant under arbitrary coordinate transformations and can describe both static and dynamic objects. The proposed approach can be generalized to a large number of different types of object by applying a variational principle. |
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