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Dear Avtar,
Technically dark matter is a particle physics problem, not a GR problem. I note that you have posted on Johann Weiser's essay and so would have seen that Johann claims to have found a non-singular black hole solution by including the distribution of matter that gives rise to the metric. If true that would imply a black hole singularity is not necessarily a real thing. Similarly if there are extra dimensions and GR is extended to describe them, then black holes are also non-singular. That just leaves the remaining problem with GR that you identify - dark energy, and I agree that is a problem.
Dark energy is directly related to what the cosmological 'constant' in GR means, and here the standard presentation is simply wrong - the cosmological term *must* depend upon the radial scale factor of the universe in order for GR to be a *physical* theory (see attachment for a simple toy model that illustrates this). So I agree with your dispute of GR up to the point that the standard presentation of GR with an artificially 'constant' cosmological term does *not* constitute a *physical* theory. This provides the background for my earlier comment that I wonder to what extent your usage of a variable cosmological term is responsible for your results.
From the attachment you will see that a *physical* GR is likely to also possess a gravitational constant and speed of light that depend upon the radial scale factor as well. This scale factor dependence of c is perhaps also captured by your model. There is a further feature of a *physical* GR model that is not emphasised in the standard presentation of GR - the *definition* of energy is *not* constant in a time dependent metric. So in an expanding universe the *definition* of energy within the time dependent metric will be varying. For a model with a constant definition of energy, this changing energy definition effect could possibly be captured by adding an effect that changes the energy terms in the model, which your model does. So I wonder to what extent the results generated by the features of your model are due to approximately including the sort of effects that should be present in *physical* GR.
I have looked at the attachments you gave with regards to QT. The dominant issue is that QT has a weird illusion of non-locality that isn't real - I call it a non-locality of identity that isn't accompanied by non-locality of causation. Standard QT presentation is not always clear on this issue and can give a misleading impression of it. The difficulty of alternative approaches to QT, is capturing this illusion of non-locality without actually capturing real non-locality, and like other such models in this essay contest, yours doesn't quite pull it off. It is extremely difficult and rather subtle, but without a theory will conflict with known experimental results.
Despite your anti-GR stance, I think your model may provide a background basis for constructing an argument in favour of adding the features which would turn GR as it has been presented into *physical* GR.