Quantum-mechanical Lorentz transformation and superluminal phenomenon

Daniel J. Gauthier

Yi‐Fang Chang

First, some superluminal phenomena are introduced. Next, based on the complete special relativity which includes the generalized Lorentz transformation (GLT) and superluminal in the spacelike interval, we search contradiction between the uncertainty principle in quantum mechanics and strict classification of the timelike-spacelike intervals in special relativity. Third, we propose new interpretation of the duality in the double-slit experiment that is the particle-wave duality corresponds to the timelike and spacelike intervals, respectively. Such the duality is mutually exclusive and complementary. Fourth, we derive the new LT and GLT for very small space and time, and research possible unification of quantum theory and complete special relativity.

Antony Valentini

Yi‐Fang Chang

Based on quantum entanglement and corresponding quantum communication, we research a simple superluminal entangled communication scheme, whose key is to establish two mutually entangled particles or devices A and B. We observe and control the information of A position, then can know the corresponding results of the other B. This is not to send directly information each other. It may be superluminal. In special relativity we provided that there are necessary two symmetrical topological structures separated by the light-cone, which includes the generalized Lorentz transformation (GLT) for the spacelike interval, in which phase velocity is superluminal. It is base of this scheme, and may test GLT.

Francis R. Halpern

Sen, Amrapali, Matthias Salzger, Łukasz Rudnicki

While particles cannot travel faster than the speed of light, nor can information, this assumption has over the years been frequently questioned. Most recently, it has been argued [New J. Phys. 22, 033038 (2020)] that in a world with superluminal observers local determinism is impossible, linking the two pillars of physics-quantum theory and relativity-suggesting that the latter serves as the foundation for the former. Motivated by this approach, in this work, we extend the framework of quantum reference frames to incorporate superluminal Lorentz transformations. We apply this conceptual result to examine an apparent paradox where particles acquire negative energies after undergoing a superluminal Lorentz boost and propose a resolution within our framework. We also discuss Bell experiments under superluminal quantum reference frame transformations, showing that involved probabilities remain conserved.