rewrite the following paragraph with more academic and complex expressionMicrorheology investigates the microscopic characteristics of complex materials with the dynamics of the probe particles embedd

Microrheology is a scientific discipline that investigates the microscopic characteristics of complex materials by studying the behavior of probe particles embedded within them. In this study, we propose a novel approach to optical microrheology that utilizes optical vortices in evolving speckles as virtual tracers to analyze the viscoelastic properties of materials. By examining the trajectories and mean square displacement (MSD) of these optical vortices, we observe a subdiffusive motion that is sensitive to the viscoelastic nature of the environment, resembling the displacement of particles within it. We validate this optical vortex tracking microrheology technique by establishing a direct correlation between the MSD of the vortices and the viscoelastic properties of the material, independent of frequency. Furthermore, we demonstrate that the diffusive exponent of the vortices can be used to determine the loss angle of the material, enabling simultaneous measurement of its elasticity and viscosity. Additionally, we illustrate that the motion of the optical vortices can provide insights into the homogeneity of the microenvironment, both in terms of uniform and inhomogeneous motion. This innovative microrheological technique using optical vortex tracking offers a non-invasive means of probing the mechanical properties of diverse complex materials, without the need for direct contact or additional tracers