Dimensional reduction in quantum gravity

摘要: The requirement that physical phenomena associated with gravitational collapse should be duly reconciled the postulates of quantum mechanics implies at a Planckian scale our world is not 3+1 dimensional. Rather, observable degrees freedom can best described as if they were Boolean variables defined on two-dimensional lattice, evolving time. This observation, deduced from much more than unitarity, entropy and counting arguments, severe restrictions possible models gravity. Using cellular automata an example it argued this dimensional reduction constraints we have in constructing models. main reason why so-far no completely consistent mathematical black holes been found. Essay dedicated to Abdus Salam.