tag:blogger.com,1999:blog-33076818.comments2017-07-15T20:23:47.320-07:00U DUALITYMetatronhttp://www.blogger.com/profile/08396427736998362077noreply@blogger.comBlogger196125tag:blogger.com,1999:blog-33076818.post-16074853321361722262016-12-14T11:11:52.661-08:002016-12-14T11:11:52.661-08:00Dude, that's just AMAZING!!!Dude, that's just AMAZING!!!jazzphyzzhttps://www.blogger.com/profile/10840463788286788129noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-81851366401068451632016-08-30T05:25:47.625-07:002016-08-30T05:25:47.625-07:00Dark matter has been chased for 40 years now and i...Dark matter has been chased for 40 years now and it is still not found. Data doesn't fit theory? Change the theory... <br /><br />http://physicsfromtheedge.blogspot.fr/Czekohttps://www.blogger.com/profile/04231020181834141834noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-51566516956064110102016-08-28T16:45:13.233-07:002016-08-28T16:45:13.233-07:00A geometry with a very special frame and fiber.A geometry with a very special <a href="http://calfeedesign.com/products/dragonfly-44/" rel="nofollow">frame and fiber</a>.Mitchellhttps://www.blogger.com/profile/10768655514143252049noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-19258093891273848302016-02-06T12:43:30.946-08:002016-02-06T12:43:30.946-08:00Surf's up!Surf's up!Garretthttps://www.blogger.com/profile/03136765358626033631noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-75976944441921661392015-11-20T14:12:32.036-08:002015-11-20T14:12:32.036-08:00Yes, I do.
These are my papers :
http://inspireh...Yes, I do.<br /><br />These are my papers :<br /><br />http://inspirehep.net/search?ln=it&p=a+marrani%2C+a&of=hb&action_search=Cerca&sf=earliestdate&so=djazzphyzzhttps://www.blogger.com/profile/10840463788286788129noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-12152724170886557092015-11-20T13:49:22.419-08:002015-11-20T13:49:22.419-08:00Cool. You study quantum gravity?Cool. You study quantum gravity?kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-25077699645943096512015-11-20T01:48:31.460-08:002015-11-20T01:48:31.460-08:00Very interesting!
I wish I was there.
Very interesting!<br />I wish I was there.<br />jazzphyzzhttps://www.blogger.com/profile/10840463788286788129noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-37444366582594420602015-10-30T03:10:35.560-07:002015-10-30T03:10:35.560-07:00I will only say thanks to you for sharing. I will only say thanks to you for sharing. Thesis Writing Servicehttp://www.writeversity.com/noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-40947570569075640432015-02-15T17:48:29.042-08:002015-02-15T17:48:29.042-08:00There exists a lattice in 27-dimensions that F_4 a...There exists a lattice in 27-dimensions that F_4 acts on, more generally. The Conway group Co_0 are those restricted F_4 transformations that close as the automorphism group of the Leech in 24-dimensions.<br /><br />The theta function for E8 has a well known description of heterotic string states in one copy of the E8xE8 lattice. Going up, there is also the theta function for E8xE8 that counts the full heterotic states on the 16D self-dual lattice.<br /><br />The more interesting theta function is that for the lattice in 27-dimensions, K27=(E8+E8+E8)+++, which is related to bosonic string theory, or perhaps even better, bosonic M-theory. <br /><br />Up to now, it has already been shown that E10, E11 and K27 and their symmetries, can be constructed with the exceptional Jordan algebra and its symmetries. The bigger question is what is the form of the (generalized) Kac-Moody algebra with K27 as its root lattice.<br />kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-32722333263773779742015-02-15T17:10:08.803-08:002015-02-15T17:10:08.803-08:00I was meaning that I think the Leech lattice is th...I was meaning that I think the Leech lattice is the automorphsm group for one of the Conway groups or the Fischer-Griess “monster” group. <br /><br />The F_4 is the automorphism of the Leach Λ_{24}. The G_2 is the automorphism of E8. I also think that G_2 and F_4 are stabilizer groups, or have zero commutation in E8. The question I have had is whether there is some significance to this. The two are automorphisms, but F_4 is over a sort of triality of what G_2 is an automorphism on.<br /><br />I have Conway and Sloane, and back around 2009 I did piles of calculations with Jacobi θ-functions for E8 and the Leech lattice. Maybe revisiting that would be worthwhile.<br /><br />Cheers LCLawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-24841849308598318512015-02-10T14:35:02.654-08:002015-02-10T14:35:02.654-08:00The automorphism group of the leech lattice fits i...The automorphism group of the leech lattice fits inside the exceptional group F4.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-17423607191960402912015-02-10T12:48:15.649-08:002015-02-10T12:48:15.649-08:00Thanks for the response. It seems that we are in ...Thanks for the response. It seems that we are in the middle of the whole monster group realization. It seems as if one has to look at Conway groups that describe the symmetries of the Leech lattice. The J3O acts on the Monster group as an automorphism, as I recall, and one would need to look at the embedding of the Co group as a way of projecting onto the Leech lattice in J3 or O^3. Some sort of creative work like this is needed.<br /><br />LCLawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-2619617187115421802015-02-06T10:24:38.487-08:002015-02-06T10:24:38.487-08:00The leech lattice indeed lives in O^3, and better ...The leech lattice indeed lives in O^3, and better yet as Baez has shown, it lives in J(3,O). There is a 27 dimensional lattice that extends the E11 root lattice and in turn can be constructed using J(3,O) over Q. Such lattices should be exact descriptions in the full nonperturbative bosonic M-theory. Take a look at Baez's category theory blog to see the progress along these lines. I am commenting as Metatron there.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-41113656737786964382015-02-06T09:42:50.153-08:002015-02-06T09:42:50.153-08:00Yes, your intuition serves you reliably. F4 and E...Yes, your intuition serves you reliably. F4 and E6 give and LOCC and SLOCC for octonionic qutrits.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-2612079212000073352015-02-06T09:05:53.084-08:002015-02-06T09:05:53.084-08:00I have been pondering a couple of things. The fir...I have been pondering a couple of things. The first is whether the Hermitian symmetric manifolds have some relationship with Cartan decompositions and the Kostant-Sekiguchi theorem. This gives adjoint orbits that on g, the Lie algebra of G with H = G/K, so that adjoint orbits of G on elements of g that are nilpotent are diffoe to nilpotent orbits of H. In this way there is some connection between Hermitian manifolds and SLOCC. E7/E6xSO(2) is then a form of the moduli space of attractors for such orbits in N = 8, or 1/8 SUSY in BPS, O = E_{7(7)}/E_{6(6)}. <br /><br />The other is whether there is some role for gerbes or sheaves on U_a∩U_b∩U_c, with a WZW type of action. I have been pondering this with respect to E8s or O so that O^3 can be mapped to the Leech lattice.<br /><br />Cheers LCLawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-82061822866971705462015-02-01T22:37:40.123-08:002015-02-01T22:37:40.123-08:00Yes, the bigger goal is to extend this to generali...Yes, the bigger goal is to extend this to generalized twistor scattering amplitudes. This is where the Shimura varieties come in to play.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-61202197501177303902015-01-23T15:04:33.879-08:002015-01-23T15:04:33.879-08:00The Wikipedia article on Hermitean symmetric space...The Wikipedia article on Hermitean symmetric spaces draws this out. E_6/SO(6)xSO(2) is equivalent to OP^2. The question is then what would be equivalent to a Grassmannian space. The quotient spin(8)/U(4) = D_4/D_2xU(1) is a 12-dim (set of roots) space of structures on R^8. The quotient is then ~ G(2, O) or an octonion Grassmannian space. There is a sort of triality of SO(8)’s in E8 and this might segue into Grassmanian structures. <br /><br />The approach with heterotic groups though probably should employ γ-matrices, such as with work done by Dray and Monongue. Curiously the lecture by Connes centers around γ-matrices. I am wondering if there is something similar to π_iG(n,2n) ~ π _{i+1}SU(2n) in Bott periodicity that would hold with exceptional even sporadic groups.<br /><br />LCLawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-48123442893513777462015-01-22T09:39:56.708-08:002015-01-22T09:39:56.708-08:00The hermitian symmetric domain E6/SO(10)xSO(2) = c...The hermitian symmetric domain E6/SO(10)xSO(2) = complexified OP^2.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-12455518797090084492015-01-22T08:41:16.317-08:002015-01-22T08:41:16.317-08:00There are ways of thinking of Joradan matrices as ...There are ways of thinking of Joradan matrices as E9 and E10, and maybe this continues to E∞. This does not seem clear to me right now. Then of course one would have to us Morse theory or Floer cohomology to get some form of homotopy periodicity.<br /><br />The homotopy periodicity is "mod 8," which in the Connes' lecture and paper you find as well. The question might be whether this has something to do with OP^2.<br /><br />LCLawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-18968054489596187942015-01-21T08:44:00.721-08:002015-01-21T08:44:00.721-08:00The exceptional cases are still open game, mathema...The exceptional cases are still open game, mathematically.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-73027166977188230642015-01-21T07:54:16.763-08:002015-01-21T07:54:16.763-08:00This looks suspiciously like some sort of system s...This looks suspiciously like some sort of system similar to Bott periodicity. I am not sure where to look, but I wonder if there something of this form in the literature. If not then maybe this is either new or crazy. <br /><br />LC<br />Lawrence Crowellhttps://www.blogger.com/profile/12090839464038445335noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-29958810249953046082014-11-17T20:22:58.770-08:002014-11-17T20:22:58.770-08:00I'm not gonna give the secret away that WIMPs ...I'm not gonna give the secret away that WIMPs do not exist because they would not allow a Galaxy filled up with WIMP seekers. I just say: Go on, search and you will find.<br />anoushhttp://www.myshop.com.pk/smartphone-mobile/samsung-mobilenoreply@blogger.comtag:blogger.com,1999:blog-33076818.post-12805094902244232792014-07-25T01:38:53.854-07:002014-07-25T01:38:53.854-07:00Glad I found this original piece! I am truly pleas...Glad I found this original piece! I am truly pleased to read this webpage posts which includes one of my greatest interests: experiments at the LHC. I will come back for more reading…e.l.http://www.cocoon-bobbin-oil.comnoreply@blogger.comtag:blogger.com,1999:blog-33076818.post-33403500654242347022014-07-04T09:07:05.341-07:002014-07-04T09:07:05.341-07:00I'm glad you enjoyed the article. Thanks for ...I'm glad you enjoyed the article. Thanks for the share. As for my very last comment on scattering with copies of OP^2, the answer seems to be extremal black holes.kneemohttps://www.blogger.com/profile/08396427736998362077noreply@blogger.comtag:blogger.com,1999:blog-33076818.post-22976001521921217642014-07-04T08:59:17.846-07:002014-07-04T08:59:17.846-07:00Nice article and sound arguments. Just shared this...Nice article and sound arguments. Just shared this post with a colleague…w.d.http://www.cocoon-bobbin-oil.comnoreply@blogger.com