  Twisted bilayered graphenes at magic angles are systems housing long ranged
periodicity of Moir\'e pattern together with short ranged periodicity
associated with the individual graphenes. Such materials are a fertile ground
for novel states largely driven by electronic correlations. Here we find that
the ubiquitous Casimir force can serve as a platform for macroscopic
manifestations of the quantum effects stemming from the magic angle bilayered
graphenes properties and their phases determined by electronic correlations. By
utilizing comprehensive calculations for the electronic and optical response,
we find that Casimir torque can probe anisotropy from the Drude conductivities
in nematic states, while repulsion in the Casimir force can help identify
topologically nontrivial phases in magic angle twisted bilayered graphenes.
