On Deriving Space-Time From Quantum Observables and States

TL;DR

This paper demonstrates that, under certain assumptions, the structure of space-time and quantum dynamics can be fully reconstructed from operational data in a three-dimensional Minkowski space setting.

Contribution

It provides a method to derive space-time geometry and quantum evolution solely from observable data, advancing the understanding of quantum foundations and spacetime emergence.

Findings

Space-time can be reconstructed from quantum data.

Quantum dynamics are uniquely determined by operational data.

The approach is demonstrated in three-dimensional Minkowski space.

Abstract

We prove that, under suitable assumptions, operationally motivated data completely determine a space-time in which the quantum systems can be interpreted as evolving. At the same time, the dynamics of the quantum system is also determined. To minimize technical complications, this is done in the example of three-dimensional Minkowski space.