The current theories of physics, namely, the special and general theory of relativity, quantum mechanics and the quantum theory of fields have been formulated on the fabric of a continuous spacetime. By continuous spacetime, we mean a point in spacetime described by four coordinates (ct, x, y, z) that can take values varying continuously. The question that may arise immediately to the inquisitive mind is whether the concept of a continuous spacetime is always valid. It is important to realize that asking this question is in itself a giant leap from our common sense. Common sense would tell us that spacetime around us must be continuous because a discrete structure of spacetime would mean that there are regions (if at all they can be called as regions) where there is no spacetime at all.