# Kuyukov Vitaly

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1. ## renormalization two-dimensional objects

Renormalization problem for two-dimensional objects in string theory. Membranes are unstable at the quantum level. I propose to consider membranes as information structures, and not just the geometry of surfaces. It is based on information metric Fisher. Mathematical analysis based on the holographic principle allows one to determine the flow formula for a quantum membrane. This formula is similar to Gauss theorem for the flow of a gravitational field. This removes instability and allows membranes to be viewed as fundamental units of information. B.pdf
2. ## motion and limit Bousso

The Bousso limit is a holographic hypothesis, the maximum amount of information on the border of the light sphere is equal to its surface area. I = A / 4 I propose to generalize this result for all cases of motion, for fixed and light holographic screens. Information equals speed times screen area I = v A / 4 This result is interesting because it gives a different interpretation of the velocity addition theorem based on the Fisher metric 24.pdf
3. ## Empirical formula for all energy scales

You are absolutely right. The vacuum energy near the GUT makes the main contribution to the braid topology (monopole mass). There are two solutions 1. The super scalar Higgs field at the GUT scale affects the braid topology Ф ~ A ~ B ~ C 2 Braid size increases to GUT scale due to cosmological inflation I'm interested in the second option.
4. ## Empirical formula for all energy scales

The model completely dispenses with supersymmetry, instead reducing the number of components and parameters for the rigidity of the theory.
5. ## Empirical formula for all energy scales

Proposed on the basis of the model preons, I obtained an empirical formula for all energy scales (neutrinos, standard model, theories of great unification, planck scale). Mn / Mq = (Mg / Mp) 2 Mn = 0.13 eV Mq = 1 GeV Mg = 10^14 GeV Mp = 10^19 GeV The great thing is the relationship between these scales based on this one formula. E = 1 / Mp2 ∫dA dB dC Where A, B, C are parameters of the braid topology in the form of gravitational field lines. This formula shows that the energy of the particles is a combination of the field fluxes A, B, C in the spit topology. In general, the uniform dimensions of the braids are the same A = B = C = 1 / L Then the energy will be E = 1/Mp2 ∫dA dB dC = Lp2 / L3 = 10 ^ -70 / 10 ^ -84 = 1 GeV At a proton energy E = 1 GeV, the size of the topological structure is L = 10 ^ - 28 m, which corresponds to the scale of the theory of great unification (the mass of the monopole is 10 ^ 14 GeV). vb.pdf
6. ## geometry of entanglement , special relativity

Some aspects of special relativity can be defined through the geometry of entanglement, such quantities as holographic screens, speed, time. The main focus is on the entangled empty space entropy as the basis for the emergence of holography in special relativity sp.pdf
7. ## Human scale quantum gravity, wave filter

There is an interesting fact, if the de Broglie wavelength is equal to the Planck length, then the momentum is determined on the Planck scale L= 10 {-35} m p = m v = h k = h / L = 60 ( kg m/s) A person lives with such an momentum (60 kg, 1 m / s) , intelligent creature. I think this is not a simple coincidence, on the Planck scale the concept of space-time is replaced by quantum gravity, moreover, the quantum theory is modified (generalized uncertainty principle). This means that the wave properties on the Planck scale should disappear (the many-worlds interpretation disappears, a single self remains), the border between the quantum world and the classical world passes on a human scale. Moreover, I am formulating the idea of a wave filter. Any sentient being must have momentum in the area of the Planck scale (not less than this value). If the momentum is less, then wave properties prevail, then the mind splits into many worlds branches, a single rational self will not arise. Human momentum fits perfectly into the Planck scale (on the border between the quantum and the classical world). Fermi paradox, where are the civilizations in the galaxy. Quantum gravity responds, an intelligent creature exists with momentum in the region of the Planck scale, where the wave properties of the body disappear. This is a very small detection range. This is a wave filter.
8. ## Supersymmetry

Tighter restrictions on supersymmetry (string theory) at the detector https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=newssearch&cd=&cad=rja&uact=8&ved=0ahUKEwjO8JKP9qzrAhVVmMMKHRndCooQxfQBCC0wAA&url=https%3A%2F%2Fphys.org%2Fnews%2F2020-08-heavy-higgs-bosons-tau-leptons.html&usg=AOvVaw1RyKbcd9pPiTRo0OV2IZXl It looks like it smells like a grave for string theory (and higher dimensional models).
9. ## Two-dimensional holographic information as the fundamental unit of matter.

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
10. ## Super condensate, strings (bosons) and loops (fermions)

After all, string theory was originally a boson theory. Fermions were obtained only due to the expansion of supersymmetry. 1.pdf
11. ## Super condensate, strings (bosons) and loops (fermions)

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.
12. ## Super condensate, strings (bosons) and loops (fermions)

Of course I know. To me at work, then I will answer
13. ## Super condensate, strings (bosons) and loops (fermions)

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
14. ## Super condensate, strings (bosons) and loops (fermions)

Consider the ground state of spin networks in the form of Wilson loops $W= e^{Adx}$ 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!
15. ## Super condensate, strings (bosons) and loops (fermions)

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
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