What I like about Lisi's TOE, --beyond being E8 and the 248 proposed particles via 248 symmetries--- is that the 248 divided by 8 = 31 and 8 is the basic to Rybonics GUTOE.
248 / 8 = 31 In Rybonics, the primary, regular/symmetrical, 5-fold icosahedron, has 31 primary great circle-like polygonal geodesic pathways, that correspond to three or four of the known bosonic forces i.e. Weak force / W+, W- Zo = 15 Great Circles EM / photon = 10 Great Circles( these also define the 5 sets of 4- fold, primary, 4 Great Circles and these 4 can infold to define a and EM sine-wave pattern. ) strong force / gluon = 6 Great Circles Thats 15 + 10 + 6 = 31 The non-quantized --ergo alledged-- gravity, is the ultra-micro, finite set of close-packed spacetime events occurring on the convex surface of these geodesic pathways. In Rybonics it is the interference of these 8 sets of 31 primary Great Circles that define 4-fold polyhedra --and there corresponding 25 Great Circles-- as the known fermionic particles. The odd-ball in the above is mesons, which are two fermionic quarks but have bosonic spin, thats odd and strange and in Rybonic's they correspond to the 4-fold 4 Great Circles i.e. they are very identical to the any one of the 5-fold icosahedrons , 5 sets of 4 Great Circles, as defined by the 5-fold 10 Great Circles. Mesons( two quarks ) are what bind protons to neutrons in nucleus of atoms. Furthermore, the mamamilan human complex is closest in complexity to our complex universe ergo there may be some correspondence between; There are 31 spinal cord nerve segments in a human spinal cord: [ ergo 31 bilateral nerves ] * 8 cervical segments (cervical nerves exit spinal column above C1 and below C1-C7) * 12 thoracic segments (thoracic nerves exit spinal column below T1-T12) * 5 lumbar segments (lumbar nerves exit spinal column below L1-L5) * 5 sacral segments (sacral nerves exit spinal column below S1-S5) * 1 coccygeal segment (coccygeal nerves exit spinal column at coccyx) In conclusion, I would also mention, that, the topology of the EM sine-wave --via infolding of 4 Great Circles-- is composed of 4 appendage curves ---4 triangles in Euclidean space--- having a centrally located bundle of crossings as a nucleus. I see this nucleated, 4-fold sine-wave as being the basic blueprint for all complex animals i.e. the human has four primary appendages plus the head. I see the purity of the nucleated sine-wave becoming less pure, when the nuclear bundle of the pure/ideal sine-wave migrates to the end of the sine-wave to become like and external nucleation. It is as tho the sine-wave pops out a head to look around and even back in upon itself to say hey cool, I see a sine-wave. RYbo On Oct 18, 2008, at 7:39 AM, rybo6 wrote: > http://en.wikipedia.org/wiki/ > An_Exceptionally_Simple_Theory_of_Everything > > > The above link gives a nice whole explanation. I will give a > short 3 paragraph blurb from that page. Rybo > > > ...."In Lisi's model, the base is a four-dimensional surface—our > spacetime—and the fiber is the E8 Lie group, a complicated 248 > dimensional shape, which some mathematicians consider to be the > most beautiful shape in mathematics. > > ....In this theory, each of the 248 symmetries of E8 corresponds > to a different elementary particle, which can interact according to > the geometry of E8. > > As Lisi describes it: "The principal bundle connection and its > curvature describe how the E8 manifold twists and turns over > spacetime, reproducing all known fields and dynamics through pure > geometry." > > ---------------------------------------------------------------------- > ---- > ------------------------------------------------------- > ------------------------------- > ---------------- > > ...."Lisi's model is a variant and extension of a Grand Unification > Theory (a "GUT," describing electromagnetism, the weak interaction > and the strong interaction) to include gravitation, a Higgs boson > and fermions in an attempt to describe all fields of the Standard > Model and gravity as different parts of one field over four > dimensional spacetime. > > ....More specifically, Lisi combines the left-right symmetric Pati- > Salam GUT with a MacDowell-Mansouri description of gravity, using > the spin connection and gravitational frame combined with a Higgs > boson, necessitating a cosmological constant. The model is > formulated as a gauge theory, using a modified BF action, with E8 > as the Lie group. > > Mathematically, this is an E8 principal bundle, with connection, > over a four dimensional base manifold. Lisi's embedding of the > Standard Model gauge group in E8 leads him to predict the existence > of 22 new bosonic particles at an undetermined mass scale. > > ...The fermions enter, via an unconventional use of the BRST > technique, as Grassmann number fields valued in part of the E8 Lie > algebra. The bosons are combined with these fermions as one-form > and Grassmann number parts of a sort of superconnection, each > valued in separate parts of the E8 Lie algebra. The curvature of > this superconnection is calculated, producing the Riemann > curvature, gauge field curvature, gravitational torsion, covariant > derivative of the Higgs, and the covariant Dirac derivative of the > fermions. This curvature is used to build the modified BF action by > hand, in an attempt to match the dynamics of the Standard Model and > gravity. > > In the paper, Lisi describes several deficiencies in this model. > The most important deficiency is noted as an incorrect, or "poorly > understood," inclusion of the second and third generations of > fermions in E8, relying on triality. This deficiency, and the > incomplete nature of the model, prevents the prediction of masses > for new or existing particles. Also, Lisi notes the use of explicit > symmetry breaking in building his action, rather than offering a > more desirable spontaneous symmetry breaking mechanism. And, no > attempt is made to provide a quantum description of the theory—this > being left for future work. > > In a follow-up paper,[7] Lee Smolin proposes a spontaneous symmetry > breaking mechanism for obtaining the action in Lisi's model, and > speculates on the path to its quantization as a spin foam. > > --------- Non-technical overview below-------- > > ....Consider a wavy, two-dimensional surface, with many different > spheres glued to the surface—one sphere at each surface point, and > each sphere attached by one point. > > .....This geometric construction is a fiber bundle, with the > spheres as the "fibers," and the wavy surface as the "base." > > ......A sphere can be rotated in three different ways: around the x- > axis, the y-axis, or around the z-axis. Each of these rotations > corresponds to a symmetry of the sphere. The fiber bundle > connection is a field describing how spheres at nearby surface > points are related, in terms of these three different rotations. > The geometry of the fiber bundle is described by the curvature of > this connection. In the corresponding quantum field theory, there > is a particle associated with each of these three symmetries, and > these particles can interact according to the geometry of a sphere. > > In Lisi's model, the base is a four-dimensional surface—our > spacetime—and the fiber is the E8 Lie group, a complicated 248 > dimensional shape, which some mathematicians consider to be the > most beautiful shape in mathematics.[8] In this theory, each of the > 248 symmetries of E8 corresponds to a different elementary > particle, which can interact according to the geometry of E8. As > Lisi describes it: "The principal bundle connection and its > curvature describe how the E8 manifold twists and turns over > spacetime, reproducing all known fields and dynamics through pure > geometry."[2] > > The complicated geometry of the E8 Lie group is described > graphically using group representation theory. Using this > mathematical description, each symmetry of a group—and so each kind > of elementary particle—can be associated with a point in a diagram. > The coordinates of these points are the quantum numbers—the charges— > of elementary particles, which are conserved in interactions. Such > a diagram sits in a flat, Euclidean space of some dimension, > forming a polytope, such as the 421 polytope in eight-dimensional > space. > > In order to form a theory of everything, Lisi's model must > eventually predict the exact number of fundamental particles, all > of their properties, masses, forces between them, the nature of > spacetime, and the cosmological constant. Much of this work is > still in the conceptual stage—in particular, quantization and > predictions of particle masses have not been done. And Lisi himself > acknowledges it as a work-in-progress: "The theory is very young, > and still in development. > > > --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Cosmology, Mathematics and Philosophy" group. To post to this group, send email to cosmology-mathematics-and-philosophy@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/cosmology-mathematics-and-philosophy?hl=en -~----------~----~----~----~------~----~------~--~---
