Recovering General Relativity from a Planck scale discrete theory of quantum gravity
arXiv:2106.01297
Abstract
An argument is presented that if a theory of quantum gravity is physically discrete at the Planck scale and the theory recovers General Relativity as an approximation, then, at the current stage of our knowledge, causal sets must arise within the theory, even if they are not its basis. We show in particular that an apparent alternative to causal sets, viz. a certain sort of discrete Lorentzian simplicial complex, cannot recover General Relativistic spacetimes in the appropriately unique way. For it cannot discriminate between Minkowski spacetime and a spacetime with a certain sort of gravitational wave burst.
47 pages, 2 figures
References in corpus (14)
- Emergence, Reduction and Supervenience: a Varied Landscape
- Quantum Graphity: a model of emergent locality
- Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
- All-sky search for short gravitational-wave bursts in the second Advanced LIGO and Advanced Virgo run
- Quantum Dynamics without the Wave Function
- Spacelike distance from discrete causal order
- Stable Homology as an Indicator of Manifoldlikeness in Causal Set Theory
- Quantum Gravity Phenomenology
- Some Relativistic and Gravitational Properties of the Wolfram Model
- Dynamics of Causal Sets
- On the Causal Set-Continuum Correspondence
- Generalizing Quantum Mechanics for Quantum Spacetime
- Ollivier curvature of random geometric graphs converges to Ricci curvature of their Riemannian manifolds
- Out of Nowhere: Spacetime from causality: causal set theory