مشخصات پژوهش

عنوان	FRACTIONAL ANALYSIS OF WAVE PACKET PROPAGATION AND SOME ASPECTS OF VSL WITH GUP
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Quantum Gravity; Generalized Uncertainty Principle; Modified Dispersion Relations; Wave Packet Broadening; Varying Speed of Light; Fractional Differential Equation
چکیده	In this paper, we consider the problem of wave packet broadening in the framework of the Generalized Uncertainty Principle (GUP) of quantum gravity. Then we find a fractal Klein- Gordon equation to further analyze the wave packet broadening in a foamy spacetime. We derive a Modified Dispersion Relation (MDR) in the context of GUP which shows an extra broadening due to gravitational induced uncertainty. As a result of these dispersion relations, a generalized Klein-Gordon equation can be obtained. We solve this generalized equation under certain conditions to find both analytical and numerical results. We show that GUP can lead to a variation of the fundamental constants such as speed of light. With this novel properties, we find a time-dependent equation of state for perfect fluid in de Sitter universe and we interpret its physical implications.
پژوهشگران	سید داود ساداتیان (نفر سوم)، کوروش نوذری (نفر دوم)، سید حمید مهدی پور (نفر اول)