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!
 
This is an alert about a claim regarding the standard model, that got a burst of attention in the past two weeks. The original paper came out last year: "The electroweak η_W meson" by Gia Dvali, Archil Kobakhidze, Otari Sakhelashvili (2024) The recent follow-up and other responses are "η_W-meson from topological properties of the electroweak vacuum" by Dvali et al "Hiding in Plain Sight, the electroweak η_W" by Giacomo Cacciapaglia, Francesco Sannino, Jessica Turner "Astrophysical...
this thread is to open up discussion on Gravi-GUT as theories of everything GUT or Grand Unified Theories attempt to unify the 3 forces of weak E&M and strong force, and Gravi-GUT want to add gravity. this peer reviewed paper in a journal on Gravi-GUT Chirality in unified theories of gravity F. Nesti1 and R. Percacci2 Phys. Rev. D 81, 025010 – Published 14 January, 2010 published by Physical Review D this paper is cited by another more recent Gravi-GUT these papers and research...
In LQG and LQC there are solutions called "black to white transition". I'll add some references: (Rovelli)https://arxiv.org/abs/1905.07251 (Rovelli)https://arxiv.org/abs/2302.03872 (Rovelli)https://arxiv.org/abs/1803.06330 (Rovelli)https://arxiv.org/pdf/1802.04264 (Rovelli)https://arxiv.org/abs/2108.12823 https://arxiv.org/abs/2304.02691 https://arxiv.org/abs/2110.07589 https://arxiv.org/abs/2009.01788 https://arxiv.org/abs/1911.12646 https://arxiv.org/abs/1801.03027...
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