Time from quantum entanglement: an experimental illustration

One experiment suggests that time is an emergent property of quantum entanglement. [1] "A static, entangled state between a clock system and the rest of the universe is perceived as evolving by internal observers that test the correlations between the two subsystems. We implement this mechanism using an entangled state of the polarization of two photons, one of which is used as a clock to gauge the evolution of the second: an "internal" observer that becomes correlated with the clock photon sees the other system evolve, while an "external" observer that only observes global properties of the two photons can prove it is static." [1] https://arxiv.org/abs/1310.4691

The position that time is not a localized phenomenon is preposterous. Given the observations of relativity and the effect that local gravitational force has on passage of time, and more recent experiment and theory about time actually arising as an effect of quantum entanglement (https://arxiv.org/abs/1310.4691), to presume in the context of such a big, extremely-theoretical idea that time is not local is plain nuts. It's not so hard to imagine that the rules of relativity are imposed and that outside of that imposition, they don't exist or are discontinuous to some degree. Indeed, it doesn't even take any imagination if one considers the theories and research related to what I linked above. So personally I'd dismiss the conclusion given its predication on this idea. To me, time not being local is the controversial position.