Motion of Spinning Density Tensors in a Clifford Space (2402.12681v2)

Abstract: A Clifford Space is counted to be a tempting approach to unify both micro-physics and macro-physics simultaneously. Such a tendency may be found in the realm of replacing vectors with poly-vectors. Accordingly, the problem of motion becomes essential to express the motion of extended particles rather than test particles. These equations are performed by using an equivalent Bazanski Lagrangian in a Clifford space. From this perspective, a generalized type an equation for spinning density tensors and spinning density deviation tensors are obtained. Spinning deviation tensors in a Clifford space may give a better performance to examine the problem of stability for spinning density tensors as expressed in terms of vectors defined in such a class of Riemannian geometry.