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Beyond the Standard Models
Numerology from Vafa and Visser
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[QUOTE="ohwilleke, post: 6045366, member: 19562"] Great papers (more or less unrelated as far as I can tell). Also, I don't think that calling these papers mere "numerology" is really fair. [B]The First Paper[/B] I missed the first one, which is really intriguing. I have long classified the Strong CP problem as a "why" problem of within the Standard Model physics that really isn't a "problem" much like naturalness of baryon asymmetry in the universe is a "why" problem but not an inherent problem unless you get into the business of telling the universe what its laws should be, which isn't a scientist's job. The other notable reason to think that θ=0 for QCD and QED is that both have zero mass vector bosons. Zero mass bosons don't experience the passage of time per Special Relativity, in their own reference frame. So, it makes sense that a CP violation which is inherently arrow of time dependent shouldn't arise in those theories. In contrast, the weak force, which exhibits CP violation has a massive vector boson which does experience the flow time, so it makes sense that it can experience CP violation which is arrow of time dependent. The paper's justification for quantum gravity consistency, or the simple fact that the strong CP problem isn't really a problem, or the massless boson justification as a resolution of the strong CP problem all eliminate the need for axions (so would a up quark with zero mass, which has been pretty much experimentally ruled out). If we need no axion, then the theoretical motivation for the existence of an axion-dark matter candidates is greatly undermined, and axions start looking more like nothing more than very low mass sterile neutrinos with a lot of the justification for their particular alleged properties undermined. [B]The Second Paper[/B] I did flag the second one when I saw it. I very much like the statement that "Supersymmetry is neither necessary nor sufficient for the existence of these finite QFTs; though softly but explicitly broken supersymmetry can be used as a book-keeping device to keep the calculations manageable.", which I have long been a voice in the wilderness professing. My personal suspicion is that the mass constants and CKM matrix in the SM have values that precisely meet this condition making them much less free to have any possible value in relation to each other than they seem. I also suspect that "the finiteness of the zero-point stress-energy tensor" as a limiting condition is the flaw and that this assumption is simply one more artifact of GR being formulated as a classical rather than a quantum physics theory. Thus, the bold conclusion of this paper that BSM physics is needed turns out to really merely add to the existing knowledge on other grounds that quantum gravity is necessary for the SM and a successor to GR to be consistent. I also suspect that Pauli's formulation of those equations could be flawed. Mathematical physics wasn't nearly as rigorous in his day as it is now and he could easily have missed some critical but subtle point in formulating them. [/QUOTE]
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