Quantum gravity from singularity

Could all of the universe be Quantum entangled as a result of the fact that it was once all of the same singularity (which underwent the big bang). There could be a continuing connection where a change in one part of the universe exerts a influence towards similarity in all of the universe.

Could gravity be a result of this?  An influence towards similar location would result in an attempt to be in the same place. Since there is no center of the universe this might manifest as universal attraction or gravity.