A model of quantum spacetime
Tommaso Favalli, Augusto Smerzi
TL;DR
This paper presents a model of quantum spacetime in a universe constrained by total energy and momentum, where entanglement among subsystems leads to emergent 3+1 dimensional spacetime without a fundamental time or position.
Contribution
It generalizes the Page and Wootters formalism to a 3+1D non-relativistic quantum universe with dual constraints, showing how spacetime emerges from entanglement.
Findings
Spacetime emerges from entanglement in a constrained quantum universe
The model extends previous quantum clock formalisms to higher dimensions
Demonstrates a 'timeless' and 'positionless' universe with emergent spacetime
Abstract
We consider a global quantum system (the "Universe") satisfying a double constraint, both on total energy and total momentum. Generalizing the Page and Wootters quantum clock formalism, we provide a model of 3+1 dimensional, non-relativistic, quantum spacetime emerging from entanglement among different subsystems in a globally "timeless" and "positionless" Universe.
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