Relativistic Entanglement

TL;DR

This paper demonstrates that the relativistic quantum theory of Stueckelberg, Horwitz, and Piron provides a consistent interpretation of time-separated electron entanglement experiments, aligning with observed results and treating times as quantum observables.

Contribution

It shows how the SHP relativistic quantum theory can interpret time-separated entanglement experiments, extending previous work on interference in time.

Findings

Results agree with Palacios et al's experimental data

Observed times are identified as proper quantum observables

The interpretation is consistent within the SHP relativistic framework

Abstract

The relativistic quantum theory of Stueckelberg, Horwitz and Piron (SHP) describes in a simple way the experiment on interference in time of an electron emitted by femtosecond laser pulses carried out by Lindner et al. In this paper, we show that, in a way similar to our study of the Lindner et al experiment (with some additional discussion of the covariant quantum mechanical description of spin and angular momentum), the experiment proposed by Palacios et al to demonstrate entanglement of a two electron state, where the electrons are separated in time of emission, has a consistent interpretation in terms of the SHP theory. We find, after a simple calculation, results in essential agreement with those of Palacios et al; but with the observed times as values of proper quantum observables.