Polydimensional Supersymmetric Principles
| dc.creator | Pezzaglia, William M. | |
| dc.date | 1999-09-22 | |
| dc.date.accessioned | 2026-07-07T06:32:27Z | |
| dc.date.available | 2026-07-07T06:32:27Z | |
| dc.description | 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. | |
| dc.description | 12 pages, no figures. Based on presentation available at http://www.clifford.org/wpezzag/talk/99mexico/ Submitted to International Journal of Theoretical Physics | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9909071 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9909071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98904 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Polydimensional Supersymmetric Principles | |
| dc.type | text |