neither time travel nor faster-than-light travel has been proven possible or achieved. However, I can provide you with some information on both concepts.
Time Travel: Time travel is a concept that has fascinated scientists, philosophers, and writers for a long time. While it is a popular theme in science fiction, no scientific evidence or theory has demonstrated that time travel is currently possible. Various theories, such as wormholes, the concept of time dilation in general relativity, and the study of black holes, have been explored in an attempt to understand the possibility of time travel. However, these theories are purely speculative at this point, and significant technological and theoretical challenges would need to be overcome for time travel to become a reality.
Faster-than-Light Travel: According to our current understanding of physics, as described by Albert Einstein's theory of relativity, it is not possible for anything with mass to travel faster than the speed of light in a vacuum. As an object with mass accelerates, its relativistic mass increases, requiring an infinite amount of energy to reach the speed of light. This is known as the mass-energy equivalence principle.
There have been some speculative theories and ideas proposed, such as the concept of wormholes or Alcubierre drive, which suggest ways to bypass the limitations of speed imposed by relativity. However, these ideas are highly theoretical and would require technologies and forms of energy that are far beyond our current capabilities.
In summary, based on the scientific understanding up to my understanding, neither time travel nor faster-than-light travel is currently feasible. However, scientific progress and breakthroughs can occur, so it is always possible that our understanding may change in the future.