I think if the 3-space has a volume measure then it has gravity in some sense. It is not Einstein’s gravity but that is a question of making adjustment so that an equation is satisfied and adding time. Can one do QM without a volume measure?  Even if people develop a method of doing QM with a collection of functions, the continuity or some analog of differentiability condition will enforce some sort of rudimentary or possibly weak form of gravity via the weak topology induced by the collection of functions. Will people be able to do QM on a 3-space when it is only a point set without any structure that gives a feeling of some sort of measurability? Thus I cannot imagine that QM ⇒GR, GR meaning Einstein gravity. If implication is considered roughly as an association and we have GR⇒QM, then possibly it can be arranged that QM+(some extra but almost trivial assumptions) ⇒GR and one can gloss over those assumptions. It would be like going to New York from Boston via San Francisco. It is not natural. If we are justified in calling this “some extra …” as pre-gravity we can see the redundancy in the theory. I think that even if by the manipulation of dimensions (4 spacetime dimension coming from higher dimensions or lower dimensional space exploding in 4-spacetime, forgetting point singularity for the moment) the question discussed above involving measurability clearly remains. I also think that this emergence of gravity sensation is coming from the continuation of the idea and definition of the Newtonian gravity in our mind. We recall the formula in the linearized GR involving the Newtonian potential Φ. We have . By taking Φ zero or nonzero one switches gravity off and on. But is it really so? If one takes Φ=0, the Minkowski metric remains. Minkowski spacetime has gravity. It is a solution of the vacuum Einstein’s equation (with the cosmological constant zero). Newtonian potential Φ is simply an extra contribution here. Main part is 1. That 1 remains. It appears that one cannot switch off gravity. I think there should be more discussion on what is a simple theory so that undue and redundant complications can be avoided. Then it will be easier to see what appears to be fundamental and what should be considered derived.

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