New Alain Connes Paper: Read Now

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It just keeps coming, doesn't it! Great!
 
It seems the new recruitment, Matilde Marcolli, is very diligent!
 
Do I read this correctly, they have a generalization of the renormalization "group"? One that really is a group?
 
selfAdjoint said:
Do I read this correctly, they have a generalization of the renormalization "group"? One that really is a group?

The dream of Cartier and the Grothendieck's of this world! Yep - the cosmic Galois group. Of course now we just need to sort out the noncommutative case...
 
I am reading the paper now. The beginning, where they go over the dimesnional regularization and minimal subtraction is just what I have needed for a long time. I am a receptive-minded person, which means I have to have a minimal structure for data in my head before I can really take it in. This ultraclear summary presents what I have needed to get behind the calculational facade of dimensional regularization. Am now onto the divergent graph material, which is unfamiliar to me but still very clear. I am so glad this paper exists!
 
I seem to notice a buildup of papers like this: Detecting single gravitons with quantum sensing. (OK, old one.) Toward graviton detection via photon-graviton quantum state conversion Is this akin to “we’re soon gonna put string theory to the test”, or are these legit? Mind, I’m not expecting anyone to read the papers and explain them to me, but if one of you educated people already have an opinion I’d like to hear it. If not please ignore me. EDIT: I strongly suspect it’s bunk but...
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