1. The problem statement, all variables and given/known data Can we consider the universe to have a uniformly charged distribution? If so, shouldn't the field at any point in space be zero? Since the universe is infinite, will it be symmetrical about any point, field should be zero right? Why is this not true? 2. The attempt at a solution Can we argue that the infinite universe may be considered to be a sphere? Thus if at any two points the field is zero, can we obtain a contradiction saying that, field is zero only at the centre of a uniformly charged sphere, and there cannot be two centres, so its absurd to say field at any 2 points is zero? Thanks!