Minimal length: A source of quantum non-locality

Abstract

The narrow and subtle difference between the Hilbert spaces of operators corresponding to the purely quantum mechanical momentum and the generalized momentum that includes minimal length effects is polished. Additionally, the existence of complex numbers in quantum mechanics may be justifiable as a consequence of minimal length. A novel quantum entanglement generation is also reported, indicating the power of theories including a minimal length in enriching the current understanding of quantum non-locality.