Journal of Modern Physics, 2020, 11, 1856-1873 https://www.scirp.org/journal/jmp ISSN Online: 2153-120X ISSN Print: 2153-1196 Motion in Clifford Space Magd E. Kahil 1, 2 1 Faculty of Engineering, Modern Sciences and Arts University, Giza, Egypt 2 Egyptian Relativity Group, Cairo, Egypt How to cite this paper: Kahil, M.E. (2020) Motion in Clifford Space. Journal of Modern Physics, 11, 1856-1873. https://doi.org/10.4236/jmp.2020.1111116 Received: October 22, 2020 Accepted: November 17, 2020 Published: November 20, 2020 Copyright c  2020 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Com- mons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Ut purus elit, vestibulum ut, placerat ac, adipiscing vitae, felis. Curabitur dictum gravida mauris. Nam arcu libero, nonummy eget, consectetuer id, vulputate a, magna. Donec vehicula augue eu neque. Pel- lentesque habitant morbi tristique senectus et netus et malesuada fames ac turpis egestas. Mauris ut leo. Cras viverra metus rhoncus sem. Nulla et lectus vestibulum urna fringilla ultrices. Phasellus eu tellus sit amet tortor gravida placerat. Integer sapien est, iaculis in, pretium quis, viverra ac, nunc. Praesent eget sem vel leo ultrices bibendum. Aenean fau- cibus. Morbi dolor nulla, malesuada eu, pulv- inar at, mollis ac, nulla. Curabitur auctor sem- per nulla. Donec varius orci eget risus. Duis nibh mi, congue eu, accumsan eleifend, sagit- tis quis, diam. Duis eget orci sit amet orci dignissim rutrum. Nam dui ligula, fringilla a, euismod sodales, sollicitudin vel, wisi. Morbi auctor lorem non justo. Nam lacus libero, pretium at, lobortis vitae, ultricies et, tellus. Donec aliquet, tor- tor sed accumsan bibendum, erat ligula aliquet magna, vitae ornare odio metus a mi. Morbi ac orci et nisl hendrerit mollis. Suspendisse ut massa. Cras nec ante. Pellentesque a nul- la. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Aliquam tincidunt urna. Nulla ullamcorper vestibulum turpis. Pellentesque cursus luctus mauris. Nulla malesuada porttitor diam. Donec felis erat, congue non, volutpat at, tincidunt tris- tique, libero. Vivamus viverra fermentum felis. Abstract Clifford algebra as an approach of geometrization of physics plays a vital role in unification of micro-physics and macro-physics, which leads to examine the problem of motion for different objects. Equa- tions of charged and spinning of extended objects are derived. Their corresponding deviation equations as an extension of geodesics and geodesic deviation of vectors in Riemannian geometry have been developed in case of Clifford space. Keywords Cifford Space, Poly-Vectors-Geodesics, Geodesic Deviation, Spinning Objects, Extended Objects 1. Clifford Space: Aims and Prospects Motion of objects is regarded as a mirror to identify the behavior of field equations on manifolds. This may give rise to examine the trajec- tories of different particles to ensure the existence of any theory and its viability. From this perspective, we ought to study the problem of spinning objects in depth, as it is very close to the reality, rather than examining its simplicity by means of determining the equation of motion of test particles, i.e. the geodesic equation. The spinning object has been studied by many authors long time ago, Mathisson [1] started the idea; Papapetrou amended its content [2] and then it was developed to include charged objects by Dixon [3], which led many of their followers to obtain the corresponding equations of motion of moving objects in different types of geometries [4–9]. Not only these path equations but also their deviation equations play a fundamental role in regulating the stability of objects [10]. This is mandatory in case of examining the perturbation problem of an object orbiting a gravitational field. Yet, such a description may be in need to be revis- ited thoroughly for sake of unification of physics. Since the problem of unification of all fields of nature is a far fetched goal, it is wise enough to search for different methods and concepts that enable us to achieve this goal one day. DOI: 10.4236/jmp.2020.1111116 Nov. 20, 2020 1856 Journal of Modern Physics