Main Question or Discussion Point
Where exactly do the laws of relativity and quantum mechanics disagree?
I think difference people would describe this from different perspectives, depending on your approach, and perhaps there are more than one focus points to the problems.Where exactly do the laws of relativity and quantum mechanics disagree?
I would say that part of the problem is how to even compare then properly, since they rest on somewhat different abstractions. For example energy in quantum mechanics isn't really defined in exactly the same way as in classical physics. No to mention time. All models have some axiomatic starting points which serve to attach the abstractions to reality. If this is done differently, it isn't easy to compare them.what laws don't work together and why not??
Quantum physics operates on a flat background, e.g. a three-dimensional reality with a universal measure of time. General relativity has time and space intermingled. It is intermingled in such a way that we cannot (except for trivial cases) unwind it into a flat, three-dimensional reality with a universal measure of time.I'm not sure how to explain this more simply and still be accurate enough to be useful.
Anyone else care to give it a try?
I think the wider perspective is the more healthy one.You can ask about compatibility of GR and QM from a more wider perspective, namely whether general covariance and quantum principles are incompatible. This means, whether a quantum theory of gravitation can be generally covariant if QM principles are saved, or whether QM principles can be saved mantaining general covariance.