  # Kuyukov Vitaly

Senior Members

37

## Everything posted by Kuyukov Vitaly

1. 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. 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. 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. The model completely dispenses with supersymmetry, instead reducing the number of components and parameters for the rigidity of the theory.
5. 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. 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. 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. 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. After all, string theory was originally a boson theory. Fermions were obtained only due to the expansion of supersymmetry. 1.pdf
11. 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. Of course I know. To me at work, then I will answer
13. 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. 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. 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
16. 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.
17. 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)
18. holography space and time 1.pdf
19. This can be considered using the CPT-symmetry of the quantum field theory.
20. Currently available in preprints only.
21. 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
22. it is not a wave function of particles. it is a spherical wave function. The main reason for the isotropy of space-time is the isotropy of the wave function of the universe relative to the observer. $$\psi=e^{i t R}=e^{i t \sqrt{x^2+y^2+z^2}}$$
23. Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter It is remarkable that the change in the phase of the universal wave function of the Universe as the main diriger leads to a change in the phases of the wave functions of all other particles in the Universe. Which leads to the equivalence principle and the concept of emerging gravity. In addition, gravity can be shown as the curvature of the wave function of the Universe due to the action of many particles, that is, just bodies. Consider an example for a system of two particles. For this you can use the perturbation theory. The contribution from the first particle to the gravitational time dilation and phase change of the relative wave function of the Universe. https://osf.io/qwb7e/download
×