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The foundation of the hyperunified field theory I -- fundamental building block and symmetry

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 Added by Yue-Liang Wu
 Publication date 2021
  fields Physics
and research's language is English
 Authors Yue-Liang Wu




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Starting from motional property of functional field based on the action principle of path integral formulation with 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.



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In the part I of the foundation of the hyperunified field theory, we have shown the presence of entangled hyperqubit-spinor field as fundamental building block with appearance of Minkowski hyper-spacetime as free-motion spacetime and emergence of inhomogeneous hyperspin symmetry as fundamental symmetry. In this paper as part II, we demonstrate by following along gauge invariance principle and scaling invariance hypothesis that the inhomogeneous hyperspin gauge symmetry and scaling gauge symmetry govern fundamental interactions and reveal the nature of gravity and spacetime. With the fiber bundle structure of biframe hyper-spacetime and emergence of non-commutative geometry, we explore methodically the gauge-geometry duality and genesis of gravitational interaction in locally flat gravigauge hyper-spacetime. A whole hyperunified field theory in 19-dimensional hyper-spacetime is established to unify not only all discovered leptons and quarks into hyperunified qubit-spinor field but also all known basic forces into hyperunified interaction governed by inhomogeneous hyperspin gauge symmetry. We present a systematic investigate on the hyperunified field theory with deriving the dynamics of fundamental fields as basic laws of nature and conservation laws relative to basic symmetries and showing Higgs-like bosons and three families of lepton-quark states. We provide a detailed analysis on inflationary early universe with evolving graviscalar field and a discussion on scaling gauge field as dark matter candidate and $cQ_c$-spin scalar field as source of dark energy.
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