Geometry from quantum temporal correlations

TL;DR

This paper demonstrates that Euclidean 3-space can emerge from quantum temporal correlations in sequential measurements on a single qubit, independent of initial states, suggesting space may originate from quantum correlations.

Contribution

It introduces a novel framework showing space can arise from quantum temporal correlations, independent of initial conditions, and proposes a toy model for this emergence.

Findings

Space emerges from quantum temporal correlations

Emergence is independent of initial qubit state

A toy model illustrates the hypothetical phenomenon

Abstract

In this work, we show how Euclidean 3-space uniquely emerges from the structure of quantum temporal correlations associated with sequential measurements of Pauli observables on a single qubit. Quite remarkably, the quantum temporal correlations which give rise to geometry are independent of the initial state of the qubit, which we show enables an observer to extract geometric data from sequential measurements without the observer having any knowledge of initial conditions. Such results suggest the plausibility that space itself may emerge from quantum temporal correlations, and we formulate a toy model of such a hypothetical phenomenon.