Twisted two-dimensional bi-layers offer exquisite control on the electronic
bandstructure through the interlayer rotation and coupling, enabling
magic-angle flat-band superconductivity and moir\'e excitons. Here, we
demonstrate how analogous principles, combined with large anisotropy, enable
extreme control and manipulation of the photonic dispersion of phonon
polaritons (PhPs) in van der Waals (vdW) bi-layers. We experimentally observe
tunable topological transitions from open (hyperbolic) to closed (elliptic)
dispersion contours in twisted bi-layered {\alpha}-MoO3 at photonic magic
angles, induced by polariton hybridization and robustly controlled by a
topological quantity. At these transitions the bilayer dispersion flattens,
exhibiting low-loss tunable polariton canalization and diffractionless
propagation with resolution below {\lambda}0/40. Our findings extend
twistronics and moir\'e physics to nanophotonics and polaritonics, with great
potential for nano-imaging, nanoscale light propagation, energy transfer and
quantum applications.Comment: Nature, in pres