no one has definitively proven that time travel is a logical impossibility. The concept of time travel is still a subject of speculation and debate among physicists and philosophers.
Time travel theories often involve bending or warping spacetime, as described by Einstein's general theory of relativity. While there are currently no known methods to achieve practical time travel, some solutions to Einstein's equations, such as certain types of spacetime geometries called "wormholes" or "closed timelike curves," suggest that time travel might be mathematically possible.
However, these theories are highly speculative, and many challenges and paradoxes are associated with them. For example, the grandfather paradox raises questions about the possibility of altering the past and creating paradoxical situations. Resolving such paradoxes and understanding the fundamental nature of time itself are active areas of research.
It's important to note that science and our understanding of the universe continue to evolve, and new discoveries may shed more light on the feasibility or impossibility of time travel in the future.