I give a geometrical description of conformal gauge gravitational theory (CGTG) from the viewpoint of symmetries and affine structure. In the frames of the CGTG incorporating gravitation with torsion space-time into Standard Model of electro-weak interaction (EWI) the multi-muon events produced at the Fermilab Tevatron collider were studied. The CGTG gives the value of the torsion pseudotrace–spinor (muon) universal coupling fT = 4.388 ⋅ 10-17 GF, and with limits from known experiments — torsion mass mT = 0.4700 ⋅ 10-7 eV or mT = 0.445 ⋅ 10-15 muon mass. So the value of the constant of effective four-fermions interaction fT/mT = 0.988, indeed may lead to multi-muon events production. The model of interaction of quantum oscillator with the tensor potential Wμν of traceless part of the torsion lead to 2 cm displacement of quark–lepton system as a whole in the magnetic field of collider in accordance with a significant sample of events related to [Formula: see text] production and decay in which at least one of the muon candidates is produced outside of the beam pipe of radius 1.5 cm. A traceless part of the torsion in CGTG does not vanish in the Newtonian limit of nonzero mass. Torsion gravity potential Wμν gives conservation of a special conformal current and may be produced in the condition of a spontaneous breaking of gauge symmetry where the gravitation mass MX defect is 1–3 Tev ⋅ c-2 or 10-13MX. This effect may be possible at known effects on top pair asymmetries at the Tevatron and LHC and takes place as the known energy dissipation above 3 TeV of the Galaxy gamma-ray and neutrino spectrum from two bubbles outside the Galaxy plane.

It is showed generalization of discovering of the simple fact of proportionality between all elementary particles masses and 24 resonance masses in one side and nuclei weights in another side with some constant coefficient to all-known elementary particles and resonances masses. For resonances that linear dependence led to elementary particles type when electric charge of ions is defined by the same charge of muons. This is done within the frame of the "eight spin shock wave" model, which is based on an accurate solution of the Maxwell equations for a dust-like medium of charged particles in the flat space. Parameters of the group, such as Euler's angles and Lorentz boosts, are all localized. In this way, they become functions of space coordinates and time. As a result, it is found that the Lorentz boost's argument satisfies the linear wave equation. For small angles, the "eight spin" model is similar to the fundamental O(3) model. It is stated some analogy between properties of hypernucleus and supernucleus with properties of elementary particles and resonances electroproduction by spin shock waves (SSW) in beam ions. In particularly theoretically for all hypernucleus it very may be possible that Λ interacts with two NN from the external level of nucleus core. The ions list for resonances begin by (n, p) nucleus, on the first hypernucleus decay channel-on D 2. For He 4 in the τ-atom m τ M-1 = 0.475 is near 0.41 is seen through the lepton universality as atom on the outer shell of which, instead of electron-a heavy lepton-tauon etc. In this approach neutral Higgs`s boson with it mass 125 GeV connected with nucleus from the island of stability, so as neutral Z boson-to U-238. On this set of quarks distribution their dilaton currents conservation is confirmed. Theoretically nuclei weights are defined by according to dilaton quark-lepton X-structure identified with jumps features of the quantum Green function. Whereas the definition of a value of the ratio between the masses of particles and nuclei requires taking into account the contribution of SSW C-number components of classical interact.

Results of some theoretical and experiment investigations of space-time anisotropy of Galactic gamma-rays angular distribution within the frame of the space rays generation mechanism on a method of direct transformation of intergalactic gamma-rays to the current on spin shock-waves are presented. However, the source anisotropy origin is unknown. Here I show that on Fermi telescope data brightness at the edge of the area, limited 20° Galactic longitude, twice higher the brightness of diffuse radiation. Thus the range of the observed distribution mapping of gamma rays from the Galactic longitude of theoretical (intensity of above-average level) in fact is limited above 20° strict accordance with the theory. I found that the Galactic gamma-ray angular anisotropy axis has following coordinates: longitude l = 96°, latitude ≈ 20°, that corresponds in the second equatorial coordinate system: right ascension α = 271°, declination δ ≈ 40-supernova residuals Cygnus X-3 on periphery.

It was considered within the framework of the conformal gauge gravitational theory CGTG coupling of the standard model fermions to the axial torsion and preliminary discusses the impact of extra dimensions, in particular, in a five-dimensional space-time with Randall–Sundrum metric, where the fifth dimension is compactified on an [Formula: see text] orbifold, which as it turns out is conformally to the fifth dimension flat Euclidean space with permanent trace of torsion, with a compactification radius [Formula: see text] in terms of the radius of a CGTG gravitational screening, through torsion in a process [Formula: see text] and LHC data. In general, have come to the correct set of the conformal calibration curvature the Faddeev–Popov diagram technique type, that follows directly from dynamics. This leads to the effect of restrictions on neutral spin currents of gauge fields by helicity and the Regge’s form theory. The diagrams reveals the fact of opening of the fine spacetime structure in a process [Formula: see text] with a center-of-mass energy of 14[Formula: see text]TeV, indicated by dotted lines and texture columns, as a result of p–p collision on [Formula: see text][Formula: see text]cm scales from geometric shell gauge bosons of the SM continued by the heavy axial torsion resonance, and even by emerging from the inside into the outside of the ultra-light (freely-frozen in muon’s spin) axial torsion. We then evaluate the contribution of the torsion to the muon anomaly to derive new constraints on the torsion parameters. It was obtained that on the [Formula: see text] scattering through the exchange of axial torsion accounting, the nucleon anomalous magnetic moment in the eikonal phase leads to additive additives which is responsible for the spin-flip in the scattering process, the scattering amplitude is classical and characterized by a strong the torsion coupling [Formula: see text]. So the scattering of particles, occurs as on the Coulomb center with the charge [Formula: see text] This is the base model which is the g[Formula: see text]2 muon anomaly. The muon anomaly contribution due to the heavy axial vector torsion arises from coupling the muon with torsion as external field. This leads to negative energy additive to mass of muons which makes the missing part of the g[Formula: see text]2 muon anomaly. It takes place at reasonable values of the transverse front size of the exact solution CGTG equations types of torsion waves with the spin-flip close to the size of the Compton length muon.

No abstract