Browsing by Author "E. Kahil, M."

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The Bazanski Approach in Brane Worlds: A Brief Introduction
(The Eleventh Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes), 2008) E. Kahil, M.
Paths of test particles, rotating and charged objects in brane-worlds using a modified Bazanski Lagrangian are derived. We also discuss the transition to their corresponding equations in four dimensions. We then make a comparison between the given equations in brane-worlds (BW) and their analog in space-time-matter (STM) theory.
Geometrization of Econophysics : An Alternative Approach for Measuring Elements of Risk Management of an Economic System
(arXiv preprint arXiv:1310.2220, 2013) E. Kahil, M.
The relationship between micro-structure and macro-structure of complex systems using information geometry has been dealt by several authors. From this perspective, we are going to apply it as a geometrical structure connecting both microeconomics and macroeconomics . The results lead us to introduce new modified quantities into both micro-macro economics that enable us to describe the link between them. The importance of such a scheme is to find out -with some accuracya new method can be introduced for examining the stability of an economic system. This type of requirement is expressed by examining the stability of the equations of path deviations for some economic systems as described in a statistical manifold. Such a geometization scheme of economic systems is an important step toward identifying risk management factors and so contributes to the growing literature of econophysics.
Geometrization of Some Epidemic Models
(arXiv.org e-Print archive, 2010) E. Kahil, M.
Recently, the behavior of different epidemic models and their relation both to different types of geometries and to some biological models has been revisited . Path equations representing the behavior of epidemic models and their corresponding deviation vectors are examined. A comparison between paths and their deviation vectors in Riemannian and Finslerian Geometries is presented.
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 and Path Deviation Equations in Kaluza-Klein Type Theories
(arXiv.org e-Print archive, 2005) E. Kahil, M.
Path and path deviation equations for charged, spinning and spinning charged objects in different versions of Kaluza-Klein (KK) theory using a modified Bazanski Lagrangian have been derived. The significance of motion in five dimensions, especially for a charged spinning object, has been examined. We have also extended the modified Bazanski approach to derive the path and path deviation equations of a test particle in a version of non-symmetric K-K theory.
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.