Polydimensional Supersymmetric Principles

Details Polydimensional Supersymmetric Principles Polydimensional Supersymmetric Principles

1999-09-22

arxiv.org/abs/gr-qc/9909071v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures. Based on presentation available at http://www.clifford.org/wpezzag/talk/99mexico/ Submitted to Internati

Scientific paper

Systems of equations are invariant under "polydimensional transformations" which reshuffle the geometry such that what is a line or a plane is dependent upon the frame of reference. This leads us to propose an extension of Clifford calculus in which each geometric element (vector, bivector) has its own coordinate. A new classical action principle is proposed in which particles take paths which minimize the distance traveled plus area swept out by the spin. This leads to a solution of the 50 year old conundrum of `what is the correct Lagrangian' in which to derive the Papapetrou equations of motion for spinning particles in curved space (including torsion). Based on talk given at: 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999.

Affiliated with

Also associated with

No associations

Rating

Polydimensional Supersymmetric Principles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polydimensional Supersymmetric Principles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polydimensional Supersymmetric Principles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153226