Can you give some concrete examples of where quantum falls short? I don't mean "it's not elegant" or "it doesn't make sense" or "disagrees with gravity or relativity." In which situations do they disagree? How much different are their predictions, and which one is right? (if "neither" you have to explain how the correct answer was determined).

Then we focus our attention on those descrepancies.

Ok, quantum gives a description of everything except gravity and relativity is a theory of gravity. Relativity 'needs' the so far unknown and unseen (there are perhaps hints in The Bullet Cluster, unproved) additions of dark matter to make it work outside the solar system... and dark energy to expand the universe. It falls short at black holes, where the time vector has to be swapped with a distance vector in the space time matrix.

If relativity could be reconciled with quantum, apart from the other niggly matters, we'd be close to a fully operational and unified theory, except for the fact of what happens inside and before the Big Bang.

Unfortunately relativity cannot be reconciled with quantum. If it could, I'm pretty certain that after the 100, give or take a few, years since the discovery and progression of quantum, that the means to do so would already have been discovered by now. (Hence, I imagine, the emergence of the hugely funded String Theory saga)

The suggestion that I made in post 49, bottom of page 2, IF relevant, 'could' give an insight into either reconciling quantum with gravity or reconciling quantum into the sphere of classical physics.

The 'proposed' discrepancy being: In the questioning of the mathematical structure of Planck's h constant in relation to there possibly being a time dilation factor within the quantum region and exploring how this 'could ' affect or change our perception of the phenomenon of light with regards to energy and frequency in relation to time dilation, and time dilations relationship with the gravitational field.

(Sorry, I'm not sure about the 'predictions' aspect of quantum, so I won't comment there)

(Edit: The predictions of relativity have been pretty right on so far, therefore I don't think that there is 'all' that much wrong with it... although clearly, considering the non-unification of both working hypothesis, quantum and relativity, there must be some aspect of it that 'is' slightly off. Personally I feel that the time dilation aspect of relativity is misconceived, at fault, and in need of further investigation.)