New Approaches to Soliton Quantization and Existence for Particle Physics
| dc.creator | Werbos, Paul J. | |
| dc.date | 1998-04-08 | |
| dc.date.accessioned | 2026-07-07T05:43:25Z | |
| dc.date.available | 2026-07-07T05:43:25Z | |
| dc.description | This paper provides mathematical details related to another new paper which suggests: (1) new approaches to the analysis of soliton stability; (2) families of Lagrangian field theories where solitons might possibly exist even without topological charge; (3) alternative approaches to quantizing solitons, with testable nuclear implications. This paper evaluates the possibility of strong energy-minimizing states in four families of systems, two promising and two not promising. In these examples, it presents new methods for second-order stability analysis, and analyzes persistent multifurcation. Section 6 presents three alternative formalisms for quantizing solitons (topological or nontopological), all of which have major implications for the foundations of quantum theory: (1) the standard formalism, based on functional integration, reinterpreted as an imaginary Markhov Random Field (iMRF) across time and space, with parallels to fuzzy logic; (2) two radically conservative formalisms, consistent with the core of Einstein's vision, based on a true MRF model. Bell's Theorem, bosonization, time-symmetry and macroscopic asymmetry are discussed, along with some testable alternative possibilities and heresies, like nonDoppler redshift. | |
| dc.description | 60p., no figs, 200+ eqs. Companion to "Can 'soliton' attractors exist in realistic 3+1-D Conservative Systems", Chaos Solitons and Fractals, in press | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9804003 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9804003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83302 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | New Approaches to Soliton Quantization and Existence for Particle Physics | |
| dc.type | text |