The shadow interpretation versus quantum paradoxes

TL;DR

This paper proposes a shadow stream interpretation of quantum mechanics by negating the EPNT premise, offering a simple extension that resolves interference paradoxes and clarifies foundational choices.

Contribution

It introduces the shadow stream concept as a novel extension of quantum axioms, providing a new perspective on quantum paradoxes and foundational interpretations.

Findings

Resolves single- and multi-particle interference paradoxes.

Shows only two possible foundational interpretations of quantum mechanics.

Connects shadow streams with standard quantum axioms.

Abstract

This paper explores the consequences of denying the "emptiness of paths not taken," EPNT, premise of Bernstein, Greenberger, Horne, and Zeilinger (BGHZ) in their paper titled, Bell theorem without inequalities.[ ] Carrying out the negation of EPNT leads to the concept of a "shadow stream." Streams are essentially particle implementations of the paths in Feynman path-integrals, resulting in a simple and consistent extension of the standard axioms for quantum mechanics. The construct provides elegant resolutions of single- and multi-particle interference paradoxes. Moreover, combining the argument of this paper with that of BGHZ shows that there are just two choices for quantum foundations: interpretations closely similar to the present one or those that harbor instantaneous action at a distance.