Particles detect the presence of one another through fields they generate, such as electric fields, which extend infinitely from the source particle. These fields exert forces on distant particles, allowing them to experience attraction or repulsion based on their charge. The differentiation between positively and negatively charged particles occurs through the interaction with these fields, which convey information about the magnitude and direction of the force. The precise force applied is determined by the characteristics of the field encountered by the target particle. This interaction mechanism is fundamental to understanding particle behavior in physics.