Polymer Bianchi-I with polymer matter
We analyze the effective dynamics of a polymer quantized Bianchi-I universe coupled to a polymer quantized scalar field, with a pressureless dust field acting as an internal clock. We show that for a consistent polymer quantization of the anisotropies, the volume variable has to be polymerized first, and that a choice of different polymer scales for the two leads to substantially different dynamics. We further derive an effective Friedmann equation for this model, and compute the shear scalar. We find that polymer quantizing the scalar field leads to significant differences in the evolution of various cosmological quantities as compared to standard quantization. The amount of these variations, as well as the location of the quantum bounce, depends on the matter polymer scale.