On Deriving Space-Time From Quantum Observables and States

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.

19 pages, to appear in Communications in Mathematical Physics; minor corrections made

References in corpus (1)

• Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

Cited by in corpus (5)

• Yet More Ado About Nothing: The Remarkable Relativistic Vacuum State
• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• An Algebraic Characterization of Vacuum States in Minkowski Space. III. Reflection Maps
• Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
• Spacetime granularity from finite-dimensionality of local observable algebras