The foundation of the hyperunified field theory I -- fundamental building block and symmetry (2104.05404v4)

Abstract: Starting from the motional property of functional field based on the action principle of path integral formulation while proposing maximum coherence motion principle and maximum locally entangled-qubits motion principle as guiding principles, we show that such a functional field as fundamental building block appears naturally as an entangled qubit-spinor field expressed by a locally entangled state of qubits. Its motion brings about the appearance of Minkowski spacetime with dimension determined by the motion-correlation $\cM_c$-spin charge and the emergence of $\cM_c$-spin/hyperspin symmetry as fundamental symmetry. Intrinsic $\cQ_c$-spin charge displays a periodic feature as the mod 4 qubit number, which enables us to classify all entangled qubit-spinor fields and spacetime dimensions into four categories with respective to four $\cQ_c$-spin charges $\cC_{\cQ_c}=0,1,2,3$. An entangled decaqubit-spinor field in 19-dimensional hyper-spacetime is found to be a hyperunified qubit-spinor field which unifies all discovered leptons and quarks and brings on the existence of mirror lepton-quark states. The inhomogeneous hyperspin symmetry WS(1,18) as hyperunified symmetry in association with inhomogeneous Lorentz-type symmetry PO(1,18) and global scaling symmetry provides a unified fundamental symmetry. The maximum locally entangled-qubits motion principle is shown to lay the foundation of hyperunified field theory, which enables us to comprehend longstanding questions raised in particle physics and quantum field theory.