Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows

We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G. Perelman's functionals and related entropic values are used for deriving relativistic geometric evolution flow equations. For self-similar configurations, such equations describe generalized Ricci solitons defining modified Einstein equations. We analyze possible connections between relativistic models of nonholonomic Ricci flows and emergent modified gravity theories. We prove that corresponding systems of nonlinear partial differential equations, PDEs, for entropic flows and modified gravity possess certain general decoupling and integration properties. There are constructed new classes of exact and parametric solutions for nonstationary configurations and locally anisotropic cosmological metrics in modified gravity theories and general relativity. Such solutions describe scenarios of nonlinear geometric evolution and gravitational and matter field dynamics with pattern-forming and quasiperiodic structure and various space quasicrystal and deformed spacetime crystal models. We analyze new classes of generic off-diagonal solutions for entropic gravity theories and show how such solutions can be used for explaining structure formation in modern cosmology. Finally, we speculate why the approaches with Perelman-Lyapunov type functionals are more general or complementary to the constructions elaborated using the concept of Bekenstein-Hawking entropy.Comment: accepted to EPJC; latex2e 11pt, 35 pages with a table of contents; v3 is substantially modified with a new title and a new co-autho

Thermal properties of the heavy axial vector quarkonia

Using the additional operators coming up at finite temperature, we calculate the masses and decay constants of the P wave heavy axial-vector chi(b1) and chi(c1) quarkonia in the framework of thermal QCD sum rules. In the calculations, we take into account the perturbative two loop order alpha(s) corrections and nonperturbative effects up to the dimension four condensates. It is observed that the masses and decay constants almost remain unchanged with respect to the variation of the temperature up to T similar or equal to 100 MeV, however after this point, the decay constants decrease sharply and approach approximately to zero at critical temperature. The decreasing in values of the masses is also considerable after T similar or equal to 100 MeV

Nonassociative Ricci flows, star product and R-flux deformed black holes, and swampland conjectures

We extend to a theory of nonassociative geometric flows a string-inspired model of nonassociative gravity determined by star product and R-flux deformations. The nonassociative Ricci tensor and curvature scalar defined by (non) symmetric metric structures and generalized (non) linear connections are used for defining nonassociative versions of Grigori Perelman F- and W-functionals for Ricci flows and computing associated thermodynamic variables. We develop and apply the anholonomic frame and connection deformation method, AFCDM, which allows us to construct exact and parametric solutions describing nonassociative geometric flow evolution scenarios and modified Ricci soliton configurations with quasi-stationary generic off-diagonal metrics. There are provided explicit examples of solutions modelling geometric and statistical thermodynamic evolution on a temperature-like parameter of modified black hole configurations encoding nonassociative star-product and R-flux deformation data. Further perspectives of the paper are motivated by nonassociative off-diagonal geometric flow extensions of the swampland program, related conjectures and claims on geometric and physical properties of new classes of quasi-stationary Ricci flow and black hole solutions.Comment: 81 pages latex2e 11pt, v1 accepted to Fort. der Physik, FP; 5th partner work to arXiv: 2106.01320, 2106.01869, 2108.04689,2207.05157 published in FP, FP, EPJC, JHE

Thermal modifications of the heavy axial vector mesons properties

Azizi, Kazem (Dogus Author) -- Conference full title: 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012; Munich; Germany; 8 October 2012 through 12 October 2012We investigate the properties of the heavy axial vector χb1 and χc1 quarkonia at finite temperature. Taking into account the thermal spectral density as well as additional operators coming up at finite temperature and perturbative two-loop order corrections to the correlation function, we obtained the thermal QCD sum rules for considering particles. It is observed that the masses and decay constants almost remain unchanged with respect to the variation of the temperature up to T ≈ 100MeV, however after this point, the decay constants decrease sharply and approach approximately to zero at critical temperature. This situation may be interpreted as a signal for deconfinement phase transition and our results at zero temperature are in good consistency with the existing experimental values

Decay constants of heavy vector mesons at finite temperature

Azizi, Kazem (Dogus Author) -- 2nd International Conference on Particle PhysicsThis study deals with determination of the decay constants of heavy vector mesons in the framework of the thermal QCD sum rules. We calculate both thermal spectral density and non-perturbative contributions taking into account the traditionally existing operators at T = 0 and also additional operators appearing at finite temperature. Analysis of the obtained thermal sum rules shows that the decay constants almost remain unchanged with respect to the variation of temperature up to T ≅ 100 MeV, however after this point, they start to decrease sharply with increasing temperature

The Height Gain in Scoliotic Deformity Correction: Assessed by New Predictive Formula

Height gain after scoliosis correction is of a special interest for the patient and family. Ylikoski was the first to suggest a formula predicting height loss in untreated scoliotic patients. Stokes has recently suggested a new formula by using Cobb angle to determine height loss in idiopathic curves. We hypothesized that new additional variables to Cobb angle such as apical vertebral translation (AVT), number of instrumented segments (N), and disc heights may increase the accuracy of predicted height gain. According to our findings simple expression for height gain by simplified version of the formula is: SPΔH = 0.0059X1θ1 + 2.3(1 − (θ2/θ1))N, where θ1 is preoperative Cobb angle, X1 is preoperative AVT, θ2 is postoperative Cobb angle, and N is the number of instrumented vertebra. The purpose of this study is to analyze a new mathematical formula to predict height gain after scoliotic deformity correction

Leptonic Decay Constants of DsD_{s} and BsB_{s} Mesons at Finite Temperature

In the present work, $D_{s}$ and $B_{s}$ meson parameters are investigated in the framework of thermal QCD sum rules. The temperature dependence of the mass and the leptonic decay constants are investigated by using Borel transform sum rules and Hilbert moment sum rules. To increase sensitivity, the vacuum contributions are subtracted from thermal expressions and the temperature dependences of the leptonic decay constants and meson masses are studied.Comment: 9 pages, 1 table, 4 figure

The investigation of Fermi excitations in a quark-gluon plasma in the lightcone gauge The investigation of Fermi excitations in a quark-gluon plasma in the lightcone gauge

Abstract. Fermi excitations in a quark-gluon plasma are investigated in the lightcone gauge. (p) quark self-energy in the one-loop approximation is calculated using the LeibbrandtMandelstam prescription. The quark excitation spectrum is found in the high-temperature limit and the dispersion equation is shown to be gauge invariant