According to our current understanding of physics, it is not possible for an object with mass to travel faster than the speed of light in a vacuum. 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 without bound. In order to accelerate an object with mass to the speed of light, an infinite amount of energy would be required, which is not feasible.
In the context of higher dimensions, the concept of dimensions can be understood in different ways. In physics, dimensions are often used to describe different aspects of the physical world, such as space and time. According to theories like string theory and M-theory, which are still speculative and not yet experimentally confirmed, there could be additional spatial dimensions beyond the three dimensions we commonly experience.
However, the idea that exceeding the speed of light would automatically allow access to higher dimensions is not supported by scientific evidence or theories. The relationship between faster-than-light travel and higher dimensions is largely speculative at this point. It's important to note that our understanding of higher dimensions and their nature is still an active area of research, and much remains unknown.
In summary, based on our current understanding, it is not possible for an object with mass to travel faster than light. The relationship between faster-than-light travel and higher dimensions is a topic of speculation and theoretical exploration, but it is not firmly established in scientific theory.