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0902 Submissions

[7] viXra:0902.0007 [pdf] replaced on 2015-08-28 01:08:12

Doppler Shift and Aberration for Spherical Electromagnetic Waves

Authors: Teimuraz Bregadze
Comments: 8 Pages.

Spherical wave vs. plane wave approximation to the nature of the electromagnetic waves regarding the Doppler shift and aberration is considered. The first approach is free from the blueshift–redshift transition paradox innate for the second one. It is assumed that for spherical electromagnetic waves, in contrast with the plane ones, not only the magnitude, but also the direction of the light velocity is the same in any inertial frame, which leads to the accepted expression for time dilation. The rest frame of the source of electromagnetic waves is unique among all inertial frames. (In it, the angles of emission and reception always coincide and there is no shift in wavelength in all directions.) The spherical approximation to electromagnetic waves preserves this uniqueness without violating the principle of relativity of uniform motion, while the planar approximation ignores the source completely. Both approximations give the same expression of the Lorentz–FitzGerald contraction. Both spherical and planar approaches give the same Doppler shift in the directions of relative movement of the frames, but in the directions with perpendicular components there may be significant differences. A geometrical picture of the transformation of wavefronts of spherical electromagnetic waves, which differs from the one according to the Lorentz transformation, is suggested.
Category: Relativity and Cosmology

[6] viXra:0902.0006 [pdf] submitted on 14 Feb 2009

A Study Of New Concepts In Smarandache Quasigroups And Loops

Authors: Jaiyeola Temitope Gbolahan
Comments: recovered from sciprint.org

A Study Of New Concepts In Smarandache Quasigroups And Loops
Category: Algebra

[5] viXra:0902.0005 [pdf] submitted on 14 Feb 2009

Basics of Deuteron-Cluster Dynamics by Langevin Equation

Authors: Akito Takahashi
Comments: recovered from sciprint.org

This paper gives the follow-up study on the basics for our previous papers, Study on 4D/Tetrahedral Symmetric Condensate Condensation Motion by Non-Linear Langevin Equation, Symposium 998-Low Energy Nuclear Reactions Source Book, ACS, published on August 2008 from Oxford University Press. Pertaining to the quantum mechanics, the basics of new approach using the stochastic differential equation (Langevin equation) is written for quantifying dynamic motion of known molecules as D2+, D2 and D3+ as well as D-atom state. The role of the Platonic symmetry in these known molecules are discussed for deducing simple one-dimensional (Rdd dependent; here Rdd is distance between nearest d-d pair) Langevin equation and making quantum-mechanical ensemble averaging to obtain equation for expectation value. The methodology is applied for more complicated D-clusters as 4D/TSC and 6D/OSC which would keep the Platonic symmetry, by introducing the force fluctuation deviating from the ideal Platonic symmetry. Time-dependent TSC and OSC trapping potentials which take balance to getting back to the Platonic symmetry from the distorted states were defined and used for numerical solution of Langevin equation. Finally, time-dependent fusion rate formula for simultaneous 4D interaction was obtained based on the Fermi's golden rule and one-pion exchange potential of strong interaction. The 4D fusion is regarded to cause radiation-less excess heat and 4He ash in metal-deuterium systems under dynamic conditions
Category: Condensed Matter

[4] viXra:0902.0004 [pdf] submitted on 14 Feb 2009

Study on 4D/TSC Condensation Motion by Non-Linear Langevin Equation

Authors: Akito Takahashi, Norio Yabuuchi
Comments: recovered from sciprint.org

Tetrahedral symmetric condensate (TSC) with 4 deuterons and 4 electrons has been proposed as a seed of clean 4D fusion with 4He product in condensed matter. To solve molecular dynamics motion of 4D/TSC condensation, a nonlinear Langevin equation was formulated with a Coulombic main condensation force term under Platonic symmetry, 6 balancing forces by quantum mechanical electron clouds of dde*(2,2) EQPET molecules on 6 faces of TSC cube and a random quantum mechanical fluctuation term f(t) for d-d distance. Gaussian wave functions for d-d pairs and their ground state energies were first obtained by variational method, for D2 and EQPET molecules. Then same sigma-value was used for time-dependent Gaussian wave functions of d-d pairs of TSC system to calculate the ensemble-averaged <f(t)> for changes of Coulomb energy and force of distorted TSC system deviated from the ideal double Platonic symmetry. Molecular dynamics calculation with TSC Langevin equation by the Verlet time-step method was then done. We obtained mean relative final-stage d-d kinetic energy 13.68 keV with -130.4 keV deep trapping TSC potential at Rdd-minimum = 25 fm and time-to-TSC-minimum =1.4007 fs. Mean kinetic energy of electron of a "d-e-d-e" EQPET molecule of TSC system was estimated as 57.6 keV at Rdd =25 fm. These time-dependent trapping potential for d-d pair of TSC can be approximated by HMEQPET potentials with the empirical relation of m=4.36x104/Rdd, (Rdd in fm unit), continuously as a change of condensation time or Rdd(t). Barrier factors for fusion reactions as a function of Rdd(t) and 4D fusion rate per TSC generation were calculated using these HMEQPET potentials and Fermi's golden rule. We found that 4D/TSC got to the TSC-minimum state with 10 fm-20 fm radius in 1.4007 fs and 4D fusion rate was 100 % per 4D/TSC generation-condensation. Thus we concluded that 4He production rate by 4D/TSC was equal to two times of 4D/TSC generation rate in condensed matter (e.g., PdDx).
Category: Condensed Matter

[3] viXra:0902.0003 [pdf] submitted on 14 Feb 2009

Dynamic Mechanism of TSC Condensation Motion

Authors: Akito Takahashi
Comments: recovered from sciprint.org

This paper gives further discussions and explanations on the timedependent quantum-mechanical behaviors of electron-clouds in 4D/TSC condensation motion by Langevin equation, in comparison with steady ground state electron orbits and their de Broglie wave lengths for D-atom and D2 molecule.
Category: Condensed Matter

[2] viXra:0902.0002 [pdf] submitted on 13 Feb 2009

Positive, Negative and Neutral Law of Universal Gravitation

Authors: Fu Yuhua, Fu Anjie, Zhao Ge
Comments: recovered from sciprint.org

According to the viewpoints of "one divides into two", "one divides into three" (e.g. Neutrosophy) and "one divides into many", at present there exist six kinds of matter in the universe altogether (one divides into six). If there exists the ordinary matter (called matter for short), there must exist its opposite. However there may exist more than one kind of its opposite, today the known opposites of matter may be the antimatter and dark matter; Other three kinds of matter are the neutral ones: the first neutral matter between matter and antimatter (Prof. Smarandache named it unmatter), the second neutral matter between matter and dark matter, and the third neutral matter between antimatter and dark matter. Similarly, if there exists the original "law of universal gravitation" (positive law of universal gravitation), there must exist its opposites (negative laws of universal gravitation), and the neutral ones (neutral laws of universal gravitation). According to this analysis, it is impossible to find the unified and ultimate gravitational theory.
Category: Relativity and Cosmology

[1] viXra:0902.0001 [pdf] submitted on 6 Feb 2009

A Simple Note on the Light Redshift

Authors: José Francisco García Juliá
Comments: recovered from sciprint.org

The gravitational redshift might explain any case of light redshift.
Category: Relativity and Cosmology