Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-04
Physics
High Energy Physics
High Energy Physics - Theory
12 pages; Talk presented at {\it 4th Vigier Symposium: The Search For Unity in Physics}, September 15th--19th, 2003, Paris, Fr
Scientific paper
The geometric calculus based on Clifford algebra is a very useful tool for geometry and physics. It describes a geometric structure which is much richer than the ordinary geometry of spacetime. A Clifford manifold ($C$-space) consists not only of points, but also of 1-loops, 2-loops, etc.. They are associated with multivectors which are the wedge product of the basis vectors, the generators of Clifford algebra. We assume that $C$-space is the true space in which physics takes place and that physical quantities are Clifford algebra valued objects, namely, superpositions of multivectors, called Clifford aggregates or polyvectors. We explore some very promising features of physics in Clifford space, in particular those related to a consistent construction of string theory and quantum field theory.
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