Similar to Harari’s Rishon particles model that described all leptonic and baryonic matter composed of four substructure fundamental particles and antiparticles, T ,V ,T ̃ ,V ̃, we propose that the four quarks and antiquarks, u ,d ,u ̃ ,d ̃ are the substructure building blocks of all particles and also the substructure of the vacuum pionic fabric. We develop a classical and quantum hybrid quark molecular dynamics scheme to study the pionic fabric. In free space, the pionic fabric zero-energy unit cell is cubic and includes two flipped pion tetrahedrons. Protons and neutrons contract and curve the pionic fabric cells and we calculate the pionic fabric density as a function of distance from an embedded proton in a pionic fabric cell. Based on the �� decay, we propose that electrons are non-elementary, non-point like particles having a similar substructure to the pionic fabric cell and form together electron clouds. Motion of the electron in the pionic fabric is performed by a u and d quark exchanges via tunneling through a double well potential barrier in the ground state. The rapid quark exchanges transform the electron tetraquarks into pion tetraquarks and vice versa. After the u and d quark exchanges, the zero-energy pionic unit cell contracts by a factor of 5 and the embedded electron pionic cell energy is equal to the electron rest mass of 0.511 MeV. Finally, we propose a new interpretation to QED based on the pionic fabric structure and dynamics. Lattice QCD computations may allow calculating the mass of the pionic fabric unit cell and the embedded electron pionic cell.