Abstract

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.

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