Pseudo-electromagnetic fields arise in inhomogeneous Weyl and Dirac semimetals.The action of a pseudo-magnetic field within a Weyl node is indistinguishable from the action of an external magnetic field.Pseudo-magnetic fields generate Landau levels and activate the chiral anomaly for Weyl semimetals.Pseudo-electric fields lead to chiral charge redistribution and ultrasound attenuation.Pseudo-fields have been observed in metamaterials.Pseudo-electromagnetic fields arise in inhomogeneous Weyl and Dirac semimetals.The action of a pseudo-magnetic field within a Weyl node is indistinguishable from the action of an external magnetic field.Pseudo-magnetic fields generate Landau levels and activate the chiral anomaly for Weyl semimetals.Pseudo-electric fields lead to chiral charge redistribution and ultrasound attenuation.Pseudo-fields have been observed in metamaterials.