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In the usual formulation of quantum theory, time is a global classicalevolution parameter, not a local quantum observable. On the other hand, bothcanonical quantum gravity (which lacks fundamental time-evolution parameter)and the principle of spacetime covariance (which insists that time should betreated on an equal footing with space) suggest that quantum theory should beslightly reformulated, in a manner that promotes time to a local observable.Such a reformulated quantum theory is unitary in a more general sense than theusual quantum theory. In particular, this promotes the non-unitary Hawkingradiation to a unitary phenomenon, which avoids the black-hole informationparadox.

If time is a local observable, then Hawking radiation is unitary