Construct Quantum Entanglement from Nonlocality

TL;DR

This paper proposes a novel way to construct quantum entanglement solely from wave function nonlocality, avoiding the concept of action at a distance, using a double-well potential model and new representations.

Contribution

It introduces a nonlocal wave function structure and a generalized exclusion principle to naturally generate entanglement without invoking action at a distance.

Findings

Constructed entanglement structure from nonlocal wave functions.

Developed local and nonlocal representations of the wave function.

Created a diagram method to describe entanglement structures.

Abstract

"action at a distance" is a weird concept in quantum theory which people always avoid mentioning in most occasions. In this work, without involving any concept about "action at a distance", we naturally construct a physical structure that resembles quantum entanglement only based on the nonlocality of the wave function. To achieve this, we propose a nonlocal structure of the single particle wave function by means of a double-well potential model. In order to better describe this nonlocal system, we have also developed two kinds of representations: local representation and nonlocal representation. Based on this nonlocal structure, we obtain a generalized exclusion principle in the case of antisymmetric nonlocal wave function of the multiparticle, with which we construct the entangled physical structure as mentioned before. In addition, we invent a diagram method to describe this entanglement structure and obtained some general conclusions.