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We argue, in the context of Ads/CFT correspondence, that the degree ofentanglement on the CFTs side determines the orientation of space and time onthe dual global spacetime. That is, the global spacetime dual to entangledcopies of field theory is non-orientable, while the product state of the CFTsresults in an orientable spacetime. As a result, disentangling the degrees offreedom between two copies of CFT implies, on the gravity side, the transitionfrom a non-orientable spacetime to a spacetime having a definite orientation ofspace and time, thus an orientable spacetime. We conclude showing that topologychange induced by decreasing the entanglement between two sets of degrees offreedom corresponds to a topological blow down operation.

Quantum entanglement and the non-orientability of spacetime