Monte Carlo simulation is a widely used methodology in particle physics, nuclear medicine, reactor engineering, and many other scientific and engineering fields. One of the crucial aspects of these simulations is the transport of particles through complex geometries, which requires a highly accurate and efficient geometry navigation engine. The geometry navigation engine is responsible for determining the path of particles through materials and structures with complex geometries. This process includes managing particle interactions with various materials, determining collision points, and updating particle trajectories based on their interactions. The accuracy of this component is essential to ensure that the simulation results are reliable.