[8] **viXra:0706.0008 [pdf]**
*submitted on 29 Jun 2007*

**Authors:** Ervin Goldfain

**Comments:** recovered from sciprint.org

Starting from the nonlinear dynamics of Renormalization Group (RG) equations, we show that the spectrum of lepton magnetic moments follow a Feigenbaum-like scaling pattern. Based on this approach, we find that the predicted moment of the - lepton falls in line with current experimental data.

**Category:** High Energy Particle Physics

[7] **viXra:0706.0007 [pdf]**
*submitted on 26 Jun 2007*

**Authors:** Florentin Smarandache

**Comments:** recovered from sciprint.org

Original integer general solutions, together
with examples, are presented to solve linear
equations and systems.

**Category:** Number Theory

[6] **viXra:0706.0006 [pdf]**
*submitted on 26 Jun 2007*

**Authors:** Florentin Smarandache

**Comments:** recovered from sciprint.org

New sequences are introduced in number theory, and for
each one a general question: how many primes each
sequence has.

**Category:** Number Theory

[5] **viXra:0706.0005 [pdf]**
*submitted on 25 Jun 2007*

**Authors:** Ervin Goldfain

**Comments:** recovered from sciprint.org

Observational evidence for the accelerated expansion of the Universe raises a fundamental challenge to standard cosmological models. It is generally presumed that acceleration of cosmic expansion emerges from an unknown physical component called dark energy whose contributions in negative pressure and energy density are substantial. One of the unsettled questions posed by the dark energy hypothesis relates to the magnitude of the cosmological constant: the observed vacuum energy density is exceedingly small as compared to predictions of quantum field physics. In this work we develop a derivation of the cosmological constant based on classical diffusion theory. Dynamics of the dark energy is modeled using the Langevin equation of a damped harmonic field in steady contact with a chaotic reservoir of vacuum fluctuations. The field evolves in the Friedmann-Robertson-Walker metric and dissipation arises as a result of expansion. The asymptotic limit of this process corresponds to setting the self-interaction gravity scale as the largest temperature of the reservoir. Predictions on vacuum energy density and cosmological constant are shown to be consistent with current experimental bounds.

**Category:** High Energy Particle Physics

[4] **viXra:0706.0004 [pdf]**
*submitted on 14 Jun 2007*

**Authors:** Ervin Goldfain

**Comments:** recovered from sciprint.org

The standard model for high-energy physics (SM) describes fundamental interactions between subatomic particles down to a distance scale on the order of m. Despite its widespread acceptance, SM operates with a large number of arbitrary parameters whose physical origin is presently unknown. Our work suggests that the generation structure of at least some SM parameters stems from the chaotic regime of renormalization group flow. Invoking the universal route to chaos in systems of nonlinear differential equations, we argue that the hierarchical pattern of parameters amounts to a series of scaling ratios depending on the Feigenbaum constant. Leading order predictions are shown to agree reasonably well with experimental data.

**Category:** High Energy Particle Physics

[3] **viXra:0706.0003 [pdf]**
*submitted on 14 Jun 2007*

**Authors:** Ervin Goldfain

**Comments:** recovered from sciprint.org

Quantum Chromodynamics (QCD) is a renormalizable gauge theory that successfully describes the fundamental interaction of quarks and gluons. The rich dynamical content of QCD is manifest, for example, in the spectroscopy of complex hadrons or the emergence of quark-gluon plasma. There is a fair amount of uncertainty regarding the behavior of perturbative QCD in the infrared and far ultraviolet regions. Our work explores these two domains of QCD using nonlinear dynamics and complexity theory. We find that local bifurcations of the renormalization flow destabilize asymptotic freedom and induce a steady transition to chaos in the far ultraviolet limit. We also conjecture that, in the infrared region, dissipative nonlinearity of the renormalization flow supplies a natural mechanism for confinement.

**Category:** High Energy Particle Physics

[2] **viXra:0706.0002 [pdf]**
*submitted on 1 Jun 2007*

**Authors:** Teimuraz Bregadze

**Comments:** recovered from sciprint.org

The application of the Lorentz transformation, which assumes planar character of electromagnetic
waves, to the points of the front of a spherical electromagnetic wave gives a distorted picture of the
physical reality. The expressions of Doppler effect and aberration, as well as the transformation law of
the wave fronts for spherical electromagnetic waves, essentially different from those for planar
electromagnetic waves, are obtained. Some consequences are discussed. Particularly, the necessity of
introduction of the "natural" units of length (changing in the same way as the lengths of
electromagnetic waves) for measuring distances from moving points to the fronts of electromagnetic
waves, as well as of the "real" distance covered by a moving point relative to a stationary point
containing the number of electromagnetic waves which is equal to the difference in the numbers of
waves contained between the front of an electromagnetic wave and the stationary and moving points
respectively. A revised equation for the addition of velocities is also obtained.

**Category:** Relativity and Cosmology

[1] **viXra:0706.0001 [pdf]**
*submitted on 1 Jun 2007*

**Authors:** M. Pitkanen

**Comments:** recovered from sciprint.org

The vision that the quantum dynamics for dark matter is behind
the formation of the visible structures suggests that the formation of
the astrophysical structures could be understood as a consequence of
Bohr rules.

**Category:** Quantum Gravity and String Theory