Behind and Beyond the Standard Model

Similar to Harari’s proposal that all leptonic and baryonic matter is composed of four substructure fundamental particles and their antiparticles, T,V, T ˜ , V ˜ , we propose that the two light quarks and antiquarks, u,d, u ˜ , d ˜ are the substructure building blocks of matter and also the substructure of the vacuum Pionic fabric. We develop a classical and quantum quark molecular dynamics hybrid scheme to study the Pionic fabric. The Pionic fabric cubic unit cell is assumed to include two pion tetrahedrons having a C i point group symmetry and may be described by an eight-component spinor. Based on β decay, we propose that electrons are non-elementary, non-point like tetraquarks embedded in the Pionic fabric and together they form electron clouds. A new model for embedded electron tetraquark dynamics is proposed where motion of the embedded electron in the Pionic fabric is performed by a u and d quark exchanges by tunneling through a symmetric double well potential barrier. The rapid quark exchanges transform an embedded electron tetraquark into a pion tetraquark and vice versa in a symmetric reaction that may be seen as a conserved hidden symmetry of the vacuum Pionic fabric. The electron and positron spin states may be related to the underlying quark permutations in one spin state and antiquark permutations in a second spin state. Lattice QCD computations may allow calculating the mass of the embedded electron and pion exotic tetraquarks.