The non-linear wave theory, adequate
of Standard Model Alexander G. Kyriakos St.
Petersburg, Russia. E-mail: a.g.kyriak@hotmail.com agkyriak@hol.gr |
Annotation
The theory of non-linear wave, whose
objects are identical to the elementary particles, is presented here. The last
development of physics predicts the possibility of such type of elementary
particle theory, as, for example, it follows from the below quotation. “No-one can deny success which quantum field theory,
in the perturbative approximation, has enjoyed over the last half century…
Yet despite these successes, the question of how to describe the basic matter
fields of nature has remained unanswered –except, of course, through the
introduction of quantum number and symmetry groups. As far as field theory
goes, the matter fields are treated as point objects. Even in classical field
theory these present us with unpleasant problems, in the shape of the
infinite self-energy of a point charge. In the quantum theory, these
divergences do not disappear; on the contrary, they appear to get worse, and
despite the comparative success of renormalization theory the feeling remains
that there ought to be a more satisfactory way of doing things. Now it
turns out that non-linear classical field theories possess extended solutions,
commonly known as solitons, which represent stable configurations with a
well-defined energy which is nowhere singular. May this be of relevance to
particle physics? Since non-Abelian gauge theories are non-linear, it may
well be, and the last ten years have seen the discovery of vortices, magnetic
monopoles and instantons, which are soliton solutions to the gauge-field
equations in two space dimensions (i.e. a ‘string’ in 3- dimensional space),
three space dimensions (localized in space but not in time) and 4-dimensional
space-time (localized in space and time). If gauge theories are taken
seriously then so must these solitions be. It will be seen that they do give
rise to new physics and there is even the hope that they may solve the
problem of quark confinement.” (L. H. Rayder. The quantum field theory. 1985. Chapter 10. Topological objects in
field theory). Such attempt of “soliton” or “vortex” description of elementary particles is presented below. Here it is shown that the soliton solutions actually have several classes, like the mentioned types in the quotation, to which correspond different families of elementary particles. Moreover in two last classes, where the problem of confinement appears, the solutions are found namely as a problem of non-linear wave theory. The objects of the proposed theory do not
have analogs in classical physics, which makes it possible to explain the gap
between the classical and quantum theories. The theory allows to clarify the
origin and to calculate many characteristics, inherent in real elementary
particles. |
A
table of contents of full book
Chapter 1. The theory axiomatics Chapter 2. The electron theory
Chapter 3. Quantum and
electromagnetic forms of electron theory Chapter 4. Point and non-point solutions
of electron equations Chapter 5. The massive neutrino
theory Chapter 6. On the hadrons theory
Chapter 7. The interaction
description Chapter 8. On elementary
particles’ spectra Chapter 9. On calculation of
elementary particles’ masses |
Short variant of book in one PDF file
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Theory synopsis for physicists |
Theory synopsis for
philosophers |