The fourth issue of the Turanian Journal presents a collection of studies focused on particle dynamics, accretion processes, and observational signatures of black holes in modified gravitational and matter-field environments, alongside an experimental contribution in nonlinear optics. Several works investigate test particle motion and orbital stability around black holes influenced by deformation parameters, anisotropic matter fields, dark matter halos, external magnetic fields, and string-inspired Kalb–Ramond backgrounds. Topics include thermal radiation from thin accretion disks in deformed Kerr spacetimes, quasi-periodic oscillations in dark-matter-surrounded black holes, magnetized particle dynamics in charged and rotating black hole geometries, and energy extraction mechanisms such as the electric Penrose process in Einstein–Born–Infeld gravity. The issue also features an experimental study on the nonlinear optical response of metal oxide and metal sulfide thin films under femtosecond laser irradiation. Together, these contributions highlight the interplay between strong-field gravity, high-energy astrophysical processes, and laboratory-scale optical phenomena.

The third issue of the Turanian Journal covers a wide range of studies — from the establishment of the Institute of Theoretical Physics in Central Asia and the investigation of particle orbits around the ModMax black hole to the analysis of neutrino lensing effects in modified gravity. The issue also features works on symmetries in Bianchi-type cosmological models, assessments of climatic variability in Tashkent using ERA5 reanalysis data, and the dynamics of electronic states under laser fields.

The second issue of the Turanian Journal features six cutting-edge studies exploring the structure of spacetime, dark matter, and high-energy light–matter interactions. Topics include the symmetries and energy conditions of the FLRW universe, particle dynamics in magnetically charged and ModMax black holes, and theoretical predictions for gravitational lensing and perihelion precession in nonlinear electrodynamics. Two articles focus on black hole shadows and orbit stability in the presence of perfect fluid dark matter, while an experimental study demonstrates the generation of vector and vortex high-order harmonic beams in Argon gas. Together, these works reflect the journal's continued commitment to advancing both theoretical and experimental frontiers in modern physics.

This inaugural issue of the Turanian Journal brings together six original research articles at the frontier of astrophysics and theoretical physics. Topics range from black hole dynamics in modified gravity frameworks—such as Verlinde’s emergent gravity, Lovelock gravity, and 𝑓(𝑅,𝑇) gravity—to quantum-corrected spacetime geometries. Studies explore gravitational lensing in anisotropic media, quasiperiodic oscillations, and violations of the cosmic censorship conjecture. Additionally, the issue highlights the launch of the Turanian Journal under the Institute for Advanced Studies at New Uzbekistan University, establishing a new regional platform for high-impact scientific discourse.