Minimal length: A source of quantum non-locality

TL;DR

This paper explores how minimal length effects influence quantum non-locality, potentially explaining complex numbers in quantum mechanics and introducing a new entanglement generation method.

Contribution

It demonstrates the impact of minimal length on the structure of quantum operator spaces and proposes a novel entanglement generation mechanism.

Findings

Minimal length modifies the Hilbert space of quantum operators.

Complex numbers in quantum mechanics may arise from minimal length effects.

A new quantum entanglement generation method is introduced.

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.