Interactions of pre- and postselected quantum particles

TL;DR

This paper develops a formalism to analyze the interactions of pre- and postselected quantum particles, revealing deeper insights into quantum paradoxes and introducing new surprising examples beyond ensemble averages.

Contribution

It introduces a novel approach for analyzing quantum particle interactions with pre- and postselection, extending understanding beyond partial selection cases.

Findings

Complete pre- and postselection cases are more profound than partial cases.

Analysis of paradoxes like the pigeonhole paradox within the new formalism.

Presentation of new surprising examples of quantum interactions.

Abstract

An approach for analysis of effective interaction between pre- and postselected quantum particles is developed. It is argued that the cases of complete pre- and postselection of particles are more profound than the cases of partial pre- and postselection, since the former goes beyond modification of the average of interactions on an ensemble of experiments. Recently discussed paradoxical phenomena such as the pigeonhole paradox and the modification of the interaction from repulsion to attraction are analyzed within the introduced formalism, and a few new surprising examples are presented.