Can parallel lives provide a solution to Hardy's paradox?

TL;DR

This paper examines whether the local and realistic parallel lives model can resolve Hardy's paradox, concluding it cannot, and discusses implications for relativity and potential solutions.

Contribution

It provides a critical analysis of the parallel lives model's ability to address Hardy's paradox, highlighting its limitations and exploring possible resolutions.

Findings

Parallel lives model cannot resolve Hardy's paradox.

The model's local division of worlds faces challenges with the paradox.

Implications for relativity are discussed, with potential solutions proposed.

Abstract

Parallel lives is a model which provides an interpretation of quantum theory that is both local and realistic. This model assumes that all quantum fields are composed of point beings called "lives". Lives interact locally and have a memory of their previous interactions. The reduction of the state vector is not included in this model: lives can be divided into different worlds. This feature resembles many worlds interpretation. However in the parallel lives model, the division of lives into different worlds takes place locally. The parallel lives model is expected to be compatible with special relativity, as the lives propagate at a speed that does not exceed the speed of light and interact locally. On the other hand, it is open to paradoxes based on counterfactual propositions, as it provides a realistic interpretation of quantum theory. In this paper, we confront the parallel lives model with the paradox proposed by Hardy. We show that the parallel lives model cannot overcome the dilemma in Hardy's paradox. We discuss implications of this confrontation on special theory of relativity, and speculate a solution that we believe, fits the spirit of the parallel lives model.