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So, h is small... respect to what? Is it respect to E? It can not be, because it has different units. Without G (thus quantum gravity), we can build a linear momentum p=E/c, but again we can not compare it with h. Is it to be compared respective to some angular momentum? Agaist the coupling constant? What if the coupling constant is of order unity, or even a lot bigger than unity? Do we still have quantum mechanics?