According to our current understanding of physics, traveling faster than the speed of light is not possible for any object with mass. The theory of special relativity, proposed by Albert Einstein, states that as an object with mass approaches the speed of light, its energy and momentum increase, making it more and more difficult to accelerate further. It would require an infinite amount of energy to accelerate an object with mass to the speed of light, let alone surpass it.
Moreover, according to special relativity, as an object with mass approaches the speed of light, time dilation occurs. This means that time appears to pass more slowly for the moving object relative to a stationary observer. However, this does not allow the object to travel backward in time. Even at the speed of light, time would not stop or reverse. Instead, the flow of time for the moving object would be significantly different from the stationary observer's perspective.
The concept of moving backward in time or exceeding the speed of light raises numerous paradoxes and conflicts with our current understanding of causality and the laws of physics. It would lead to violations of causality, such as effect preceding cause, which is not consistent with our observations of the universe.
It's important to note that there are speculative theoretical concepts like wormholes and the Alcubierre drive that have been proposed as potential mechanisms for faster-than-light travel. However, these ideas involve exotic and hypothetical physics that are currently beyond our technological capabilities and have not been observed or confirmed.
For now, based on our understanding of physics, the speed of light acts as a cosmic speed limit, and the idea of traveling backward in time by exceeding this limit remains in the realm of science fiction and speculation.