dorsal/arxiv
View SchemaNew Approaches to Soliton Quantization and Existence for Particle Physics
| Authors | Paul J. Werbos |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9804003 |
| URL | https://arxiv.org/abs/patt-sol/9804003 |
Abstract
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.
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"abstract": "This paper provides mathematical details related to another new paper which\nsuggests: (1) new approaches to the analysis of soliton stability; (2) families\nof Lagrangian field theories where solitons might possibly exist even without\ntopological charge; (3) alternative approaches to quantizing solitons, with\ntestable nuclear implications. This paper evaluates the possibility of strong\nenergy-minimizing states in four families of systems, two promising and two not\npromising. In these examples, it presents new methods for second-order\nstability analysis, and analyzes persistent multifurcation. Section 6 presents\nthree alternative formalisms for quantizing solitons (topological or\nnontopological), all of which have major implications for the foundations of\nquantum theory: (1) the standard formalism, based on functional integration,\nreinterpreted as an imaginary Markhov Random Field (iMRF) across time and\nspace, with parallels to fuzzy logic; (2) two radically conservative\nformalisms, consistent with the core of Einstein\u0027s vision, based on a true MRF\nmodel. Bell\u0027s Theorem, bosonization, time-symmetry and macroscopic asymmetry\nare discussed, along with some testable alternative possibilities and heresies,\nlike nonDoppler redshift.",
"arxiv_id": "patt-sol/9804003",
"authors": [
"Paul J. Werbos"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "New Approaches to Soliton Quantization and Existence for Particle Physics",
"url": "https://arxiv.org/abs/patt-sol/9804003"
},
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