According to our current understanding of physics, there is no known mechanism that allows antimatter to move forward in time while normal matter moves backward in time. The notion of moving backward or forward in time, particularly in the context of particles, is highly speculative and not supported by empirical evidence or established theories.
In the theory of relativity, which is one of the fundamental frameworks describing spacetime and the behavior of matter and energy, the concept of time travel is typically associated with extreme scenarios involving black holes, wormholes, or exotic matter with specific properties. However, these scenarios are largely theoretical and speculative at this point.
It's worth noting that the behavior of antimatter is fundamentally similar to that of ordinary matter, but with opposite charge. Antimatter particles have been observed to follow the same causal relationships in time as normal matter. Both matter and antimatter move forward in time according to our current understanding and observations.
The study of time, its directionality, and its relationship with matter and antimatter remains an active area of research and speculation. While science fiction often explores the concept of time travel, it is important to distinguish between scientific theories and speculative concepts that have not been supported by empirical evidence or widely accepted by the scientific community.