Applications of Conceivable Superluminal Information Transmission

Abstract

Work exists with arguments that superluminal transmission of classical information might eventually be possible [1]. Strong arguments exist claiming superluminal information transmission is not possible using simple quantum tunnelling experiments [2], some work exists claiming that it is possible [3-8]. We describe that the assumption that classical information could be send reliably superluminally over sufficiently large distances would lead to the conclusion that, in a certain sense, classical information could be send slightly into the past. However, we conclude that general relativity may prevent the transmission over sufficiently large distances with tunnels, in case that superluminal transmission would be possible in principle over small distances, because to achieve long distances an extremely large energy would be necessary, and too large energy within small space might collapse to a black hole. Even for smaller energies such an experimental apparatus might melt. Further, we describe that transmission into the past might lead in some cases to what we call inconsistent histories, which might be prevented by an exclusion principle: the inconsistent histories are excluded and do not occur. We describe a gedanken experiment with a corresponding conceivable spacetime loop and compute in a simplified way its results predicted by the exclusion principle. In future by realizing this gedanken experiment the exclusion principle might be tested experimentally, and, what is more important, detailed quantum field theoretic computations of corresponding experiments have to be conducted. Finally, only for the conceivable case that a spacetime loop with classical information with the exclusion principle could be realized reliably enough in any way, applications, e.g., to solve hard computational problems extremely fast are described.