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Topological approach to nonlinear models of molecular electronics: Topological solitons, phenomenology, and compactification
Author(s) -
Nikolaenko V. M.,
Rambidi N. G.
Publication year - 1990
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113110417
Subject(s) - physics , topology (electrical circuits) , electroweak interaction , curvature , nonlinear system , compactification (mathematics) , phenomenology (philosophy) , theoretical physics , topological entropy in physics , topological quantum number , classical mechanics , quantum mechanics , geometry , philosophy , mathematics , epistemology , combinatorics , pure mathematics
The U (1) × SO (1,1)‐gauge field model of gravitating topological solitons is considered for the physical construction of information logic devices at the molecular level. It is of interest due to stability both from the energetical and the topological point of view. Coupled to the Weinberg‐Salam theory of electroweak interactions, the gravitating solition may be stable in the case of the negative curvature. The case of positive curvature leads to a radius over 10 −11 cm.