Non-orientable wormholes as portals to the mirror world

We examine the compatibility of the mirror matter concept with the non-orientable wormholes. If any particle (or classical object) is traversing through the non-orientable wormhole, it turns into a corresponding mirror particle and vice versa. The critical sonic point in the hydrodynamical flow of the perfect fluid is located exactly at the throat of the wormhole. This means that wormholes are traversable for the fluid. The astrophysical signatures of the presence of non-orientable wormholes in the Universe are discussed. Some non-trivial aspects of the non-orientable wormholes electrodynamics are considered.