3-D Path Planning Using Subatomic Particles and Feynman Diagrams

This paper offers a 3D path planning algorithm for the navigation of unmanned aerial vehicles, the fusion of photonic mapping techniques and Feynman diagrams to determine an important factor in planning, such as the shortest route, which directly influences the reduction of arrival time; in a designated task avoiding collisions in a semi-structured environment. The planning algorithm is based on integrating elements of photonic presence. The existence or absence of matter is represented by different types of subatomic particles respectively in the virtual environment, the smaller number of links between free particles form nodes and allow to generate a trajectory that is the shortest distance of navigation. This allows to optimize the working times in the different types of UAV this new planning technique due to photonic mapping and particle displacement according to quantum theory can contribute in future research with applications in nanotechnology or in environments of scalable dimensions. Finally, the algorithm is evaluated in 3D virtual environments to verify its correct functioning.