Monogamy paradox in empty flat space

In a recent paper, Raju showed that the essential features of monogamy paradox for old flat space black holes could be modeled using setup in empty AdS, leading to violation entanglement there. A physically interesting question is whether such can posed space. The answer not immediately clear since gravity has an entirely different vacuum and infrared structure than gapped unique AdS vacuum, which was exploited Raju's toy model. We this affirmative, with explicit construction. formulate terms CHSH correlations, we use quantify entanglement. Extending analysis space, within effective field theory, show approximately local bulk modes just outside light cone inside as well situated far away at past future null infinity gives rise O($1$) This cannot resolved by small corrections O($\sqrt{G_N}$). issues arising from above-mentioned spacetime are dealt introducing motivated boundary projector onto states below given cutoff, allows us construct suitable operators give violation. argue resolution our spatially separated observables probe same underlying degrees freedom, i.e., act on non-factorized Hilbert Gauss constraint, thereby circumventing conflict