Submissions from A. B. Popov

[1]  faKiv:2002.07653 [pdf]
The existence of a novel value of the defect energy scale for the first order particle propagation near the horizon
Comments: 1+28 pages, 8 figures (fixed typos) Version of the title changed, title changed throughout

In the presence of a large field ratio, an effective particle propagation method known as the Strong Planckian (SPT) approach is applied to quark and lepton mixing in the radiation-dominated region of the cosmic microwave background (CMB) data. The method is based on the assumption that the scale factor of the classical SPT approach is proportional to the square of the angular velocity. In the absence of a scale factor, the angular velocity is proportional to the square of the angular velocity of the particle. The propagation speed of a particle is determined by the difference in the angular velocity of the particles as well as the coupling constant. An important consequence of the existence of a scale factor is that the non-perturbative non-perturbative propagation of a non-perturbative particle in the presence of a scale factor is called the Bondi-Massa propagation. The absence of a scale factor leads to the emergence of a new value of the defect energy scale for the energy scale of a quark and lepton mixing.

[2]  faKiv:2002.07714 [pdf]
Anisotropic Quantum Gravity
Comments: 8 pages, 3 figures. Version to appear in PRB

We consider the anisotropic quantum gravity model, in which the curvature of the spacetime is a vector of the metric. We study the effect of anisotropic transformation of the metric on the relaxation time of the Einstein metric in the presence of the curvature of the spacetime. The relaxation time is determined by the relative velocity of the spacetime and the curvature of the spacetime. We find that the anisotropic transformation of the metric is responsible to the relaxation time of the Einstein metric in the presence of the curvature of the spacetime. We show that the relaxation time of the Einstein metric is real and analytically reproduces the anisotropic transformation of the metric.