According to our current understanding of physics, traveling faster than the speed of light (FTL) is not possible for objects with mass. The theory of relativity, developed by Albert Einstein, predicts that as an object with mass accelerates closer to the speed of light, its energy and momentum increase significantly, approaching infinity as the speed of light is reached. This means that it would require an infinite amount of energy to accelerate an object with mass to the speed of light, let alone exceed it.
However, even if we consider hypothetical scenarios involving FTL travel, it is important to note that bending or warping of space-time is not solely dependent on traveling faster than light. Space-time curvature can occur due to the presence of mass and energy, as described by Einstein's general theory of relativity. Massive objects such as planets, stars, and black holes can cause curvature in space-time, and the path of light or other objects will follow this curvature.
In the context of FTL travel, one speculative idea is the concept of "warp drives" or "wormholes" that could potentially allow for faster-than-light travel by bending space-time. These concepts are purely theoretical at this stage and would require the existence of exotic forms of matter or energy that have not been observed or discovered yet.
Regarding the potential collapse of space-time into a black hole due to FTL travel, it's important to distinguish between the bending of space-time and the formation of black holes. Black holes are formed when a massive object collapses under its own gravity to a point of infinite density, creating a singularity surrounded by an event horizon. FTL travel, even if possible, does not necessarily involve collapsing mass or infinite density, so it wouldn't cause the formation of black holes based on our current understanding.
However, it is worth noting that our current understanding of physics may not fully capture all aspects of the universe, especially at extreme scales and conditions. The nature of space, time, and FTL travel remains an active area of research, and future discoveries may lead to revisions or expansions of our current understanding.