General relativity && quantum mechanics "incompatibillity" Now this may be utterly weird layman-physics-question, but anyways...  I have read recently following:  "The fundamental universe laws are everywhere the same. It's just that the manifestation (!) of (these) laws is different (!) on a specific "scale"."  Which brings me to the question:  Could it be that GR and QM are one and the same thing on a "different scale"?  If yes (LOL), that would "explain" why it is not possible to "merge" GR and QM.  Was question like this ever considered?
A list of inconveniences between quantum mechanics and (general) relativity? It is well known that quantum mechanics and (general) relativity do not fit well. I am wondering whether it is possible to make a list of contradictions or problems between them?  E.g. relativity theory uses a space-time continuum, while quantum theory uses discrete states.  I am not merely looking for a solution or rebuttal of such opposites, more for a survey of the field out of interest.
Switching from one area of graduate study to another? Is it possible to switch from one area of graduate study to another in US universities? For example, suppose someone has enrolled in a computer science phd program. Can he switch over to math(or physics) phd program in the same school later?(or say from applied mathematics to pure mathematics?)  What are the steps for doing for doing that?