Abstract
Dislocation condensation in (2+1)-dimensional World crystal can lead to an emerging linearized gravitation. In this note, we extend the (2+1)D world crystal model to 4-dimensional. By defining the density tensors of defect surfaces in 4-dimensional crystals, we establish the defect field theory of 4D crystal. We present that the proliferation of dislocation surfaces in the 4D world crystal also results in the emergence of linearized gravitation.
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