From the Economist:
Although, like all Gedankenexperimente, this latest one cannot be conducted with current experimental technologies, all of the assumptions behind it have been so tested in the past. It therefore obeys both quantum mechanics and the theory of general relativity. But one big question nags. If the Gedankenexperimente that led to relativity relied on a linearity of time that the theory itself is now helping call into question, can those original thought experiments themselves be relied on? More.
Time mayn’t be in as big trouble as the Economist is, fronting this stuff.
See also: How naturalism rots science from the head down