Sharif Digital Repository

Einstein's general theory of relativity is an admirable successful and unifier geometrical modeling among concepts of space, time and gravity. This theory along with special theory of relativity made a massive change in our physical view and this, especially in its historical context, has deep and interesting consequences in man's philosophical viewpoint which can be studied. Some parts of this thesis relates to these consequences. Some of these interesting consequences may be hidden by computional or mathematical viewpoint and often these equations do not contain enough intuition. in one part, we provide a formulizatin of Einstein's equaion that is intuitional which can be translated in... 

Based on the theory of General Relativity, the presence of mass and energy leads to a modification of the space-time metric, causing curvature that deviates the trajectories of particles and light (electromagnetic waves) from those in flat space-time. These effects manifest in the dispersion relation that describes the motion of particles or their associated waves. Similarly, in crystalline and periodic structures, dispersion relations describe the properties of the lattice. Recent studies have investigated the impact of lattice structure and coupling parameters between its units on the space-time geometry induced by the lattice. While much of this research has focused on atomic crystalline...