Electromagnetic fields and charges in 3+1 spacetime derived from symmetry in 3+3 spacetime
| dc.creator | Carroll, J. E. | |
| dc.date | 2004-04-14 | |
| dc.date | 2004-09-01 | |
| dc.date.accessioned | 2026-07-07T04:31:06Z | |
| dc.date.available | 2026-07-07T04:31:06Z | |
| dc.description | Maxwells classic equations with fields, potentials, positive and negative charges in 3+1 spacetime are derived solely from the symmetry that is required by the Geometric Algebra of a 3+3 spacetime. The observed direction of time is augmented by two additional orthogonal temporal dimensions forming a complex plane where i is the bi-vector determining this plane. Variations in the transverse time determine a zero rest mass. Real fields and sources arise from averaging over a contour in transverse time. Positive and negative charges are linked with poles and zeros generating traditional plane waves with right-handed E, B, with a direction of propagation k. Conjugation and space-reversal give left-handed plane waves without any net change in the chirality of 3+3 spacetime. Resonant wave-packets of left- and right- handed waves can be formed with eigen frequencies equal to the characteristic frequencies (N+1/2)fO that are observed for photons. | |
| dc.description | 27 page 0 figures Equation 2.9 modified | |
| dc.identifier | https://arxiv.org/abs/math-ph/0404033 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0404033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57702 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 83C50 | |
| dc.title | Electromagnetic fields and charges in 3+1 spacetime derived from symmetry in 3+3 spacetime | |
| dc.type | text |