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Kuyukov Vitaly

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  1. The best idea in quantum gravity is the holographic principle. Holographic equivalence between gravity in volume and quantum theory on the surface (AdS / CFT). For example, a black hole encodes quantum information on the horizon. In this theory, matrix objects are more fundamental than the strings themselves. Here a topological formula for calculating the energy of a matrix object is obtained (equivalent to the Gauss theorem for gravitational mass). More details here. B.pdf
  2. After all, string theory was originally a boson theory. Fermions were obtained only due to the expansion of supersymmetry. 1.pdf
  3. The main solution to the problem of hierarchy in our opinion in the supersymmetric vacuum of early cosmology. I’m writing from the phone will be brief. Wilson loops are also topological knots $$ W= e^ {\int \gamma_{i} A^{i}_{K} dx^{K}} $$ $$A_{k}=\gamma_{i} A^{i}_{k}$$ The energy of the loop (fermions) depends on the internal strains of the spin connection $$ E= \frac{Gh^2}{c^2} \int e_{ikj} \frac {dA_{i}}{dx_{k}} dA_{j} $$ In topological field theory, the curvature of spin connection is introduced $$ K= \frac {dA}{dx}+AA $$ Now consider the energy of the loop. In a free state, the loop tends to stretch out in space, its energy tends to a lower value. However, due to the quantum fluctuations of the vacuum, the Wilson loop should deform with an increase in its linear dimensions, this means that the topological curvature increases, and THE LOOP ENERGY WILL NOT TEND TO THE LOWEST VALUE. Due to quantum fluctuations, the curvature of the topological loop already clearly depends on the linear dimensions in the form of some function. $$ K= \frac {dA}{dx}+AA =f(x,y,z)$$ This means the loop energy is between two extremes, between zero and planck values. Consider the influence of a scalar field on the deformation of a topological loop. We introduce the scalar field of the Lagrangians of this model $$ E= \frac{Gh^2}{c^2} \int e_{ikj} ( \frac {dA_{i}}{dx_{j}} \frac{dA_{k}}{dx_{j}} +\frac { d \phi}{dx_{j}} \frac{d \phi}{dx_{k}} ) dx_{j} $$ In general, gives a differential equation $$ dE dl = \frac{Gh^2}{c^2} (dAdA + d\phi d\phi) $$ $$ C =\frac{c^2}{Gh^2} \int dE dl $$ $$ C = A^2+\phi^2 $$ $$ C \psi = -\frac {d^2\psi}{dx^2} + \phi^2 \psi $$ The solution to this equation depends on finding the scalar field function and imposing additional conditions. Notice this is not the Higgs field. Although it can be similarly added to this model.
  4. Of course I know. To me at work, then I will answer
  5. The action is invariant $$ dV^{|}=dV (1-V^2)^{1/2} $$ Respectively $$ A^{|}dA^{|}/dx^{|}=AdA/dx (1-V^2)^{1/2} $$ $$ E^{|}=E(1-V^2)^{1/2} $$ You need to study spin networks to start here https://arxiv.org/pdf/1308.4063 22.pdf
  6. Consider the ground state of spin networks in the form of Wilson loops [math] W= e^{Adx} [/math] We can see this closed holonomy is no longer just a field, but Ashtecker's spin connection $$ A_{k}^{i}=Г_{k}^{i}+K_{k}^{i} $$ $$ A_{k}= \gamma_{i} A_{k}^{i} $$ Pauli matrices - gamma Further, the topological action of spin networks is equivalent to the action of Schwartz $$ S=\int A \frac{dA}{dx} dV $$ Note the fermion energy in proportion to the density of the Lagrangian of the topology of spin networks $$ E = \frac {G h^2}{c^2} \int e_{ikj} \frac{dA_i}{dx_i}\frac{dA_k}{dx^{i}}dx_j $$ String Energy $$ E = \frac {c^4}{G} \int e_{ikj} \frac{dE_i}{dx_i}\frac{dE_k}{dx^{i}}dx_j $$ energy the knot $$ E = \frac {G h^2}{c^2 R^3} = A \frac{dA}{dx}$$ Now we will substitute in the formula the value of the particle energy E = 100 Gev, we get the average size of length R = 10 {-29} m. Surprisingly, the energy of a particle of the standard model is strictly related to the distance of the theory of great unification according to this formula. With great difficulty, I print these formulas on the phone!
  7. Well, that will have to be thoroughly explained. This is the wave function of the quantum state of Wilson loops, the main apparatus of spin networks for fermionic modes (what interested mordred) W= e^$ci Adx ci Pauli matrices An important Wilson loop and quantum particles on a topological basis in the form of a polynomial node
  8. I agree . But note that there are no sources in these equations, the fields simply transform into each other (string) <-> (loop). And disagree with the Maxwell equation contains all the symmetries of special relativity. It is a fact and it makes no sense to argue with this. Why do I need it. I have studied enough at the university. The general scheme is important to me.
  9. So far modest. 1. The duality of strings (bosons) and loops (fermions) 2. Supersymmetry and Maxwell equations 3. Lorentz symmetry is the most important advantage of the model. 4. A possible solution to the hierarchy problem based on the topology of knots — Wilson loops 5. The laws of conservation of energy and momentum, transmutation of bosons and fermions are satisfied (see the Hamiltonians of particles in the link)
  10. This can be considered using the CPT-symmetry of the quantum field theory.
  11. Okay. How simple nature is arranged. All of these quantum gravity, string theory and loop quantum gravity complicate things. All of them cannot properly obtain the space-time geometry from more distinct constructions. Now I will show that strings / loops are dual to each other, that is, like the duality of electric and magnetic fields. The idea is based on the fact that Maxwell's equations are applicable not only to electric and magnetic fields, but also to two quantum non-commutative fields, string E and loop A field . {E, A} = i Quantum gravity is expressed in the form of the Maxwell equation of a string-loop field. div E = 0 div A = 0 rot E = - Gh/c4 dA / dt rot A = Gh/c2 dE / dt Interval field (l2 A)2 -E2=(l2 AI)2 -EI2 l2= Gh/c3 =10{-70} m2 As a result, supersymmetry is a consequence of the Maxwell equations of quantum gravity. Symmetry between bosons -graviton, photon (strings) and fermions - electron, quark (loops). Lorentz symmetry is just an empty box for super-condensate. Space-time is not a physical object, it is just a relationship in a vacuum super-condensate. More details here dualism.pdf
  12. Hello , mordred. Why SUSY are still not found on the collider

    1. Show previous comments  3 more
    2. MigL


      You hand out rep points like they're candy joigus.
      You gotta save'em for special occasions.

    3. Mordred


      Are they chocolate coated?

    4. joigus


      So true. I'm still a beginner.

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