As suggested by others, Perhaps we need to look at the definition of 'spacetime'. Spacetime is a geometry that includes the three spatial dimensions and a fourth dimension of time. In Newtonian physics, space and time are considered as separate entities and whether or not events are simultaneous is a matter that is regarded as obvious to any competent observer. In Einstein's concept of the physical universe, based on a system of geometry devised by H. Minkowski, space and time are regarded as entwined, so that two observers in relative motion could disagree regarding the simultaneity of distant events. In Minkowski's geometry, an event is identified by a world point in a four-dimensional continuum.
If I recall there has been some talk about tyceons and there effect on the speed of light such as that the spead of light has a relationship with that of tyceons and the concentration in a particular area. As such a sphere of them may allow a object propeled at the speed of light inside the sphere to travel fast that light out side said sphere. Now since beyond light speed time dillusion is believed to go into the negative than it is possible that the object would go back in time while not be effected by its travel. Thus while back my be possible forward may not be.
In short physics invloving beyond light speed phenomenon is what should be looked at to get a theroy out about time reversal.
Out of interest does the univers and all planets spin in the same direction?