This is an interesting concept. After pondering what an anti-space environment would be. I concluded Anti-space and Anti-time go hand in hand and would be paradoxal. The way I perceive it, in an anti space/time environment distances between objects would be non existent. Without the dimension of distance time would also cease to exist. If one could build an anti space/time device and survive. One could enter the device and be at every point in the past, present and future in the entire Universe simultaneously. Creating a paradox.