In this work, we investigated the motion of spinning test particles in the spacetime of a Loop Quantum Black Hole. The dynamics of the spinning particles were formulated using the Mathisson–Papapetrou–Dixon equations, from which the effective potential was derived and analyzed with respect to the parameters of the LQBH metric. We examined how the particle’s spin influences the innermost stable circular orbit, as well as the corresponding specific angular momentum and energy, for various values of the black hole parameters. In addition, we determined the critical spin parameter s , beyond which time-like trajectories transition to non-physical, space-like motion, and analyzed its dependence on the deformation parameters α and β . Finally, we studied the center-of-mass energy resulting from the collision of two spinning particles near the event horizon, highlighting how spin and quantum corrections jointly affect high-energy processes in Loop Quantum Black Hole spacetimes.
Abdukayumova et al. (Sat,) studied this question.