[5] **viXra:1102.0057 [pdf]**
*submitted on 28 Feb 2011*

**Authors:** Alexander G. Kyriakos

**Comments:**
11 pages.

The derivation of nonlinear quantum electron equation in the framework of nonlinear theory
of elementary particles (NTEP) is presented. It can help to understand many aspects of the
quantum description of elementary particles. In particular, it is shown that the fields
self-action is "the mechanism", which introduces the mass into the quantum electron equation.
This mechanism has a similarities with the Higgs mechanism of mass generation, however it is
not needed a Higgs boson. The results of the experiments, which were set until now, to find
the Higgs's boson, are negative. At the same time the NTEP has not difficulties, which will
appear in Standard Model theory, if Higgs's boson is not discovered.

**Category:** High Energy Particle Physics

[4] **viXra:1102.0041 [pdf]**
*submitted on 23 Feb 2011*

**Authors:** Alexander G. Kyriakos

**Comments:**
18 pages.

In this chapter of nonlinear theory of elementary particles (NTEP) a review of the nonlinear field
theories in the framework of classical electrodynamics is presented. It is shown that the results
found within these theories can be transferred to quantum theory. These results can also help us
to understand many aspects of the quantum description of elementary particles. In particular, they
explain why electron can be interpreted as a point and non-point particle simultaneously.

**Category:** High Energy Particle Physics

[3] **viXra:1102.0034 [pdf]**
*submitted on 20 Feb 2011*

**Authors:** Alejandro Rivero

**Comments:**
2 Pages.

This sheet presents an extreme interpretation of the global SU(5) symmetry that has
been gradually discovered in the spectrum of scalar particles of the Supersymmetric
Standard Model. It postulates that such scalars are actually the different aspects of the QCD
string. If so, only the gauginos and perhaps two neutral higgs particles are candidates for
discovery in the LHC.

**Category:** High Energy Particle Physics

[2] **viXra:1102.0021 [pdf]**
*replaced on 2011-12-21 14:11:28*

**Authors:** J. S. Markovitch

**Comments:** 18 Pages.

A single mathematical model encompassing both quark and lepton mixing is described. This model exploits
the fact that when a 3 × 3 rotation matrix whose elements are squared is subtracted from its transpose,
a matrix is produced whose non-diagonal elements have a common absolute value, where this
value is an intrinsic property of the rotation matrix. For the
traditional CKM quark mixing matrix with its second and third rows interchanged (i.e., c - t interchange),
this value equals one-third the corresponding value for the leptonic matrix (roughly, 0.05 versus 0.15).
By imposing this and two additional related constraints on mixing, and letting leptonic φ_{23} equal 45^{°},
a framework is defined possessing just two free parameters. A mixing model is then specified
using values for these two parameters that derive from an equation
that reproduces the fine structure constant.
The resultant model, which possesses no constants adjusted to fit experiment, has mixing angles of
θ_{23} = 2.367445^{°},
θ_{13} = 0.190987^{°},
θ_{12} = 12.920966^{°},
φ_{23} = 45^{°},
φ_{13} = 0.013665^{°}, and
φ_{12} = 33.210911^{°}.
A fourth, newly-introduced constraint of the type described above produces
a Jarlskog invariant for the quark matirx of 2.758 ×10^{−5}.
Collectively these achieve a good fit with the experimental quark and lepton mixing data.
The model predicts the following CKM matrix elements:
|V_{us}| = √0.05 = 2.236 × 10^{−1},
|V_{ub}| = 3.333 × 10^{−3}, and
|V_{cb}| = 4.131 × 10^{−2}.
For leptonic mixing the model predicts
sin^{2}φ_{12} = 0.3,
sin^{2}φ_{23} = 0.5, and
sin^{2}φ_{13} = 5.688 × 10^{−8}.
At the time of its 2007 introduction the model's values for |V_{us}| and
|V_{ub}| had disagreements with experiment of an improbable
3.6σ and 7.0σ, respectively, but 2010 values
from the same source now produce disagreements of just
2.4σ and 1.1σ, the absolute error for |V_{us}| having been
reduced by 53%, and that for |V_{ub}| by 78%.

**Category:** High Energy Particle Physics

[1] **viXra:1102.0012 [pdf]**
*replaced on 2012-02-29 14:27:18*

**Authors:** J. S. Markovitch

**Comments:** 4 Pages.

The fine structure constant is shown to arise naturally in the course of altering the symmetry
of two algebraic identities. Specifically, the symmetry of the
identity *M*^{2} = *M*^{2} is "broken" by making the
substitution *M* → *M* − *y* on its left side, and the
substitution *M*^{n} → *M*^{n} − *x*^{p} on
its right side, where *p* equals the order of the identity; these substitutions convert the above identity into
the equation (*M* − *y*)^{2} = *M*^{2} − *x*^{2}. These same
substitutions are also applied to the only slightly more complicated
identity (*M* / *N*)^{3} + *M*^{2} = (*M* / *N*)^{3} + *M*^{2} to
produce this second
equation (*M* − *y*)^{3} / *N*^{3} + (*M* − *y*)^{2} =
(*M*^{3} − *x*^{3}) / *N*^{3} + *M*^{2} − *x*^{3}.
These two equations are then shown to share a mathematical property relating to *dy*/*dx*, where, on the second
equation's right side this property helps define the special
case (*M*^{3} − *x*^{3}) / *N*^{3} + *M*^{2} −
*x*^{3} = (10^{3} − 0.1^{3}) / 3^{3} + 10^{2} − 0.1^{3} = 137.036,
which incorporates a value close to the experimental fine structure constant inverse.

**Category:** High Energy Particle Physics