In fact, they do a bit more than that. The action is invertible because we can take the difference of two timestamps. So it's a transitive group action. There exists a group package: https://hackage.haskell.org/package/groups but there is no action class, and no transitivity.
Time differences act on times as a monoid action: https://hackage.haskell.org/package/monoid-extras-0.6.1/docs/Data-Monoid-Action.html
In fact, they do a bit more than that. The action is invertible because we can take the difference of two timestamps. So it's a transitive group action. There exists a group package: https://hackage.haskell.org/package/groups but there is no action class, and no transitivity.