According to our current understanding of physics, there is a fundamental connection between faster-than-light (FTL) travel and the concept of infinite energy. This connection arises from the theory of special relativity, proposed by Albert Einstein.
In special relativity, Einstein postulated that the speed of light, denoted by 'c,' is an absolute speed limit in the universe. According to this theory, no information, energy, or matter can travel faster than the speed of light in a vacuum. This concept is encapsulated in Einstein's famous equation E = mc², which relates energy (E) to mass (m) and the speed of light (c).
As an object with mass approaches the speed of light, its energy requirements for further acceleration increase dramatically. To achieve the speed of light, an infinite amount of energy would be needed. This is because the energy required to accelerate an object increases exponentially as its speed approaches the speed of light, effectively making it impossible to reach or exceed that speed with finite energy.
Theoretically, if one were to travel faster than light, it would require an infinite amount of energy. This is due to the fact that as an object with mass approaches or surpasses the speed of light, its energy requirement would tend towards infinity.
Moreover, it's important to note that the concept of FTL travel remains purely theoretical at this point. While there have been speculative ideas and proposals, such as wormholes or warp drives, which suggest methods for achieving FTL travel, these are highly speculative and lack experimental confirmation. The scientific community continues to explore and investigate the fundamental principles of physics, including the possibilities of FTL travel and the energy requirements associated with it.