hossi said:
why the title? why has the answer to this questions be subject of quantum gravity?
would you prefer if I say "Another thing for QG to explain if it can"
or "Another thing which QG might explain"?
I don't have very strong opinions about this. If you would like, I will speculate a little.
You know that Martin Reuter has written about seeing QG effects in the large-scale structure of the universe. And various people have conjectured about if some kind of MOND is true this could have something to do with QG.
In other words, if people finally understand QG then they may get a better understanding of spacetime geometry in the LARGE, and some modifications of Gen Rel that affect largescale, as well as small.
this is just general context. I have not said anything about the cosmological constant and about curvature.
Remember this is just speculation. BTW I do very much like your nickname hossi. If you continue to use the signature hossi, then I will probably think of you by that name. If you don't like that and would rather be called by real name of Sabine, then please think about changing your signature so that one sees that on your posts and gets accustomed to it.
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Yes, well some speculation about curvature. I think that the curvature of the universe goes back to the time of the bigbang and to the time of inflation.
I think that at those times, quantum geometry was dominant. Indeed as you surely know Bojowald and others have written that QG naturally produces some inflation even without needed special assumptions or fine adjustment (roughly speaking gravity repells at high density) so there are LQC papers about the naturalness of inflation.
So I speculate that if you really want to know about why the universe is curved, and if you really want to understand very early quantum fluctuations and possible inflation, then you need to get answers from QG!
This is why I think that largescale curvature might be something for QG to explain or say something about.
But I am not insisting, you hossi-who-likes-to-be-called-Sabine, and I will be happy if you think up a better title!