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Geometry vs. Matter: The emergence of scalar matter from modified 3D spinfoam model Export |
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AbstractWe provide an alternative model to study the couplings of 3D gravity with massless Klein-Gordon field in spinfoam formalism. After the discretization of the scalar field, the model is worked out precisely in a purely combinational way. It is shown that the quantum physics of the scalar matter are totally encoded into the modified dynamics of SU(2) spin-network states which describe the quantum geometries of space. While the physics of the scalar matter coupled with gravity that manifested in the low energy region can be viewed as emerged from this microscopical construction. This give rise to a radical observation on the issues of the unifications of geometry and matter.
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