Spacetime in Loop Quantum Gravity is said to be a spin-network of grains of a fundamental volume -- the spectrum of the volume operator V -- connected via surfaces of area A. Since A can't be zero unless the Immirzi parameter is zero, what does it mean that these grains are (not) being adjacent? in other words does 'spin' mediate adjacency? is 'spin' the quantum counterpart of the of classical curvature? what if the grains are not adjacent, what type of spacetime do we have then?
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