Quantum gravity and the standard model

Abstract

We show that a class of background independent models of quantum spacetime have local excitations that can be mapped to the first generation fermions of the standard model of particle physics. These states propagate coherently as they can be shown to be noiseless subsystems of the microscopic quantum dynamics. These are identified in terms of certain patterns of braiding of graphs, thus giving a quantum gravitational foundation for the topological preon model proposed by one of us. These results apply to a large class of theories in which the Hilbert space has a basis of states given by ribbon graphs embedded in a three-dimensional manifold up to diffeomorphisms, and the dynamics is given by local moves on the graphs, such as arise in the representation theory of quantum groups. For such models, matter appears to be already included in the microscopic kinematics and dynamics.

12 pages, 21 figures, improved presentation, results unchanged

References in corpus (16)

• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• A Theory of Quantum Error-Correcting Codes
• Loop Quantum Gravity
• Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
• Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
• Dynamically Triangulating Lorentzian Quantum Gravity
• Quantum Gravity, Torsion, Parity Violation and all that
• A non-perturbative Lorentzian path integral for gravity
• Non-perturbative 3d Lorentzian Quantum Gravity
• Quantum deformation of quantum gravity
• Quantum geometry with intrinsic local causality
• Discrete Lorentzian Quantum Gravity
• The geometry of quantum spin networks
• A Quantum Gravitational Relaxation of The Cosmological Constant
• Massive torsion modes, chiral gravity, and the Adler-Bell-Jackiw anomaly

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