On the spacetime geometry of quantum nonlocality

TL;DR

This paper introduces a novel spacetime geometry with higher-dimensional events, linking quantum nonlocality to this geometry and analyzing the wavefunction's ontology, challenging traditional assumptions like those in the PBR theorem.

Contribution

It proposes a new spacetime framework where events are extended, explaining quantum nonlocality and revisiting foundational quantum assumptions.

Findings

Quantum nonlocality emerges naturally from the new geometry.

Entanglement swapping challenges the PBR theorem's preparation assumption.

The wavefunction's ontological status is reexamined within this framework.

Abstract

We present a new geometry of spacetime where events may be positive dimensional. This geometry is obtained by applying the identity of indiscernibles, which is a fundamental principle of quantum statistics, to time. Quantum nonlocality arises as a natural consequence of this geometry. We also examine the ontology of the wavefunction in this framework. In particular, we show how entanglement swapping in spacetime invalidates the preparation assumption of the PBR theorem.