In relativistic quantum theories interactions are mediated by force particles called elementary vector bosons: Quantum Electrodynamics (QED) predicts the photon to be the carrier of the electromagnetic force; Quantum Flavordynamics (QFD), also called electroweak theory, predicts the Ws and Z0 as the carriers of the weak force; and Quantum Chromodynamics (QCD) predicts gluons and mesons as the carriers of the strong force. All these particles are also called exchange or virtual particles. According to these theories the virtual particle appears spontaneously near one particle and disappears near the other. Even though it has consistently been claimed that experimental detection of these particles is a confirmation of each of these theories, we are, however, of the view that one cannot detect a particle that appears and disappears within a “black box”. In this paper we discuss the geometrical theory of weak and strong nuclear interactions.