New construction of causal tensors

We study the problem of constructing tensors satisfying the dominant property, a generalization of the dominant energy condition Tabuavb ≥ 0 for all future directed causal vectors u, v. The construction is done on the paravector subspace of the r-fold Euclidean Clifford algebra and is a generalization of the representation of superenergy tensors with complex 2-spinors. Especially, as with 2-spinors, we are able to construct causal tensors of arbitrary rank, contrary to earlier constructions using tensors or the r-fold Lorentzian Clifford algebra that only produce causal tensors of even rank. An advantage of the construction in is that several algebraic properties become trivial due to the Euclidean norm on it.