Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation
| dc.creator | Pezzaglia Jr, William M. | |
| dc.date | 1993-12-15 | |
| dc.date.accessioned | 2026-07-07T03:30:13Z | |
| dc.date.available | 2026-07-07T03:30:13Z | |
| dc.description | Attention is given to the interface of mathematics and physics, specifically noting that fundamental principles limit the usefulness of otherwise perfectly good mathematical general integral solutions. A new set of multivector solutions to the meta-monogenic (massive) Dirac equation is constructed which form a Hilbert space. A new integral solution is proposed which involves application of a kernel to the right side of the function, instead of to the left as usual. This allows for the introduction of a multivector generalization of the Feynman Path Integral formulation, which shows that particular ``geometric groupings'' of solutions evolve in the manner to which we ascribe the term ``quantum particle''. Further, it is shown that the role of usual $i$ is subplanted by the unit time basis vector, applied on the right side of the functions. Summary of talk, to appear in: Proceedings of the 17th Annual Lecture Series in the Mathematical Sciences, April 8-10, 1993, University of Arkansas, `Clifford Algebas in Analysis', J. Ryan, editor (CRC Press, expected 1994) | |
| dc.description | 13 pages (Latex), Report# clf-alg/pezz9302 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9312021 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9312021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35466 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Multivector Solutions to the Hyper-Holomorphic Massive Dirac Equation | |
| dc.type | text |