In quantum field theory, a non-topological soliton (NTS) is a soliton field configuration possessing, contrary to a topological one, a conserved Noether charge and stable against transformation into usual particles of this field for the following reason. For fixed charge Q, the mass sum of Q free particles exceeds the energy (mass) of the NTS so that the latter is energetically favorable to exist. Soliton: | | ||| | |Solitary wave| in a laboratory |wave channel| World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and. If you have not already heard about solitons, you will sooner or later encounter them. The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves. In this engaging book, the concept of the soliton is traced from the beginning of the last century to modern times, with. Get this from a library! Principles of space-time-matter: cosmology, particles and waves in five dimensions. [Paul S Wesson; J M Overduin] -- "This book is a summing up of the prospects for unification between relativity and particle physics based on the extension of Einstein's theory of General Relativity to five dimensions. This subject.

I see there are mainly discussed here very abstract approaches like string theory. I would like to suggest a general discussion about much less abstract models: to get not exactly beyond, but rather behind the standard model - ask about the internal structure of particles (behind abstract Feynman diagrams) - imagine them as some concrete localized configurations of a field: so called solitons. nonlinear waves and solitons japanese series Posted By Kyotaro Nishimura Media Publishing TEXT ID de8ce Online PDF Ebook Epub Library developed effective asymptotic methods for deriving nonlinear wave equations such as the kdv equation governing a broad class of physical phenomena that admit special. Therefore, soliton particles should obey the same boson statistics as phonons in field theory, but in a different manner from phonons in terms of the discrete soliton energies of excitation. For solitons the energy and momentum are and, respectively, whereas for phonons these are and. Optical spatial solitons are self-trapped optical beams that propagate in a nonlinear medium without diffraction, i.e. their beam diameter remains invariant during propagation [1, 2]. Intuitively, a spatial soliton represents an exact balance between diffraction and nonlinearly induced self-lensing or self-focusing effects.

The book consists of two separate parts, the first part is on waves and the second part on particles. In part 1, after describing the awesome power of tsunami and the history of their occurrences, the book turns to the history of explaining phenomena by means of mathematical equations. Then it descr. Soliton’s RAP (Rapid Acoustic Pulse) technology works in partnership with a short pulse laser to achieve superior results in tattoo removal. Soliton is engaged in clinical trials and working on future applications for RAP, including impacting the appearance of cellulite.