This violates our common sense, but it doesn't necessarily violate physics. We've known for a long time from quantum mechanics that time may not fit with our p

This violates our common sense, but it doesn't necessarily violate physics. We've known for a long time from quantum mechanics that time may not fit with our preconceived notions of what we want to think it is. Entropy only means that time moves forward. The rest, such as that we can't know the future, we've just assumed.