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Article overview
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Stability Theory and the Foundations of Physics | | Paul J. Werbos
; | | Date: |
14 Jul 2008 | | Abstract: | This paper revisits fundamental questions about the stability of solitons
(and strings) which have substantial implications for the foundations and
unification of physics. Work by Makhankov, Rybakov and Sanyuk has argued that
stable solitons are impossible for a large class of theories. Bogmol’nyi has
argued that a much wider class of solitons and strings are stable, and
therefore acceptable as models for the most elementary particles. His work is
widely cited as a key part of the foundation of string theory. This paper
revisits the Bogomol’nyi analysis for the case of a simple model by Georgi and
Glashow, and proposes a small modification in soliton models in order to
achieve stability, and to guarantee the existence of solutions to the resulting
models of physics. The paper will briefly discuss the wider possible
implications for empirical physics. An appendix discusses numerical work which
could be done to complement further theoretical analysis along these lines. | | Source: | arXiv, 0807.2182 | | Services: | Forum | Review | PDF | Favorites | |
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