Apeiron articles from January 2005

Apeiron archives from January 2005

Dualism of spacetime as the origin of the fermion mass hierarchy.
January 1, 2005... It is shown that hypothetical dualism of spacetime could give rise to the pattern observed in the properties of the fundamental fermions. By guessing at the basic symmetries of space that underlie the properties of the simplest possible...

Derivation of the relativistic Doppler effect from the Lorentz force.
January 1, 2005... This paper demonstrates that calculation and interpretation of the relativistic Doppler effect is possible using only the Lorentz force and relativity theory. This method eliminates the need for the Lorentz transformation and time dilation....

The massive neutrino-like particle of the non-linear electromagnetic field theory.
January 1, 2005... A special non-linear electromagnetic field theory--the curvilinear wave electrodynamics (CWED), whose equation in the matrix form is similar to the equation of the Dirac lepton theory, is presented. A solution of this equation is shown to...

Scale Expanding Cosmos IV-a possible link between general relativity and quantum mechanics.
January 1, 2005... Three previous papers in this series introduce and discuss the Scale Expanding Cosmos (SEC) theory. This paper proposes a connection between the theory's discrete, stepwise, cosmological scale expansion and quantum mechanics. Very high...

Testing relativity theory for one-way light propagation.
January 1, 2005... Classical or Bradley stellar aberration is correctly described by special relativity theory, which predicts also a second-order departure that has never been verified. We point out that the Very Long-Based Interferometry system appears now to...

Relativistic Doppler effect free of "plane wave" and "very high" frequency assumptions.
January 1, 2005... We show that a free of assumptions approach to the Doppler effect (plane wave and "very small" period assumptions) leads to a Doppler factor which depends on the involved frequencies. The result is that the Doppler effect shifts differently...

Further difficulties with the Klein-Gordon equation.
January 1, 2005... Herein, the Dirac equation is compared with the Klein-Gordon equation. In contrast to the Dirac case, it is proved that the Klein-Gordon equation has difficulties with the Hamiltonian differential operator of relativistic quantum mechanics...