Browsing by Author "I. Wanas, M."

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A NEW CLASS OF PATH EQUATIONS IN AP-GEOMETRY
(World Scientific Publishing Company, 2005) I. Wanas, M.; E. Kahil, M.
In the present work, it is shown that, the application of the Bazanski approach to Lagrangians, written in AP-geometry and including the basic vector of the space, gives rise to a new class of path equations. The general equation representing this class contains four extra terms, whose vanishing reduces this equation to the geodesic one. If the basic vector of the AP-geometry is considered as playing the role of the electromagnetic potential, as done in a previous work, then the second term (of the extra terms) will represent Lorentz force while the fourth term gives a direct effect of the electromagnetic potential on the motion of the charged particle. This last term may give rise to an effect similar to the Aharanov-Bohm effect. It is to be considered that all extra terms will vanish if the space-time used is torsion-less.
Path Deviation Equations in AP-Geometry
(arXiv.org e-Print archive, 2005) I. Wanas, M.; E. Kahil, M.
Recently, it has been shown that Absolute Parallelism (AP) geometry admits paths that are naturally quantized. These paths have been used to describe the motion of spinning particles in a background gravitational field. In case of a weak static gravitational field limits, the paths are applied successfully to interpret the discrepancy in the motion of thermal neutrons in the Earth’s gravitational field (COW-experiment). The aim of the present work is to explore the properties of the deviation equations corresponding to these paths. In the present work the deviation equations are derived and compared to the geodesic deviation equation of the Riemannian geometry.
SN1987A: temporal models
(The Ninth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes), 2002) I. Wanas, M.; Melek, M.; E. Kahil, M.
It is well known that carriers of astrophysical information are massless spinning particles. These carriers are photons, neutrinos and, expectedly, gravitons. All these particles are emitted during supernova events. Information carried by these particles characterize their sources, but such information are affected by the trajectories of the carriers. Recently, it is shown that these trajectories are spin dependent. Knowing these trajectories and the arrival times of such particles to the detectors, a spin dependent model is constructed and compared with the conventional spin independent model.