Causal Sets: Quantum gravity from a fundamentally discrete spacetime

Abstract

In order to construct a quantum theory of gravity, we may have to abandon certain assumptions we were making. In particular, the concept of spacetime as a continuum substratum is questioned. Causal Sets is an attempt to construct a quantum theory of gravity starting with a fundamentally discrete spacetime. In this contribution we review the whole approach, focusing on some recent developments in the kinematics and dynamics of the approach.

10 pages, review of causal sets based on talk given at the 1st MCCQG conference

References in corpus (22)

• Entropy and Area
• Quantum Mechanics as Quantum Measure Theory
• A Classical Sequential Growth Dynamics for Causal Sets
• Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness
• Everpresent Lambda
• Discreteness without symmetry breaking: a theorem
• Quantum Dynamics without the Wave Function
• Feynman Propagator for a Free Scalar Field on a Causal Set
• Particle propagators on discrete spacetime
• Evidence for a continuum limit in causal set dynamics
• Energy-momentum diffusion from spacetime discreteness
• The Geometry of Small Causal Diamonds
• On Recovering Continuum Topology from a Causal Set
• An exercise in "anhomomorphic logic"
• Spacelike distance from discrete causal order
• Black Hole Entropy as Causal Links
• Evidence for an entropy bound from fundamentally discrete gravity
• The Kochen-Specker Theorem Revisited in Quantum Measure Theory
• A 2D model of Causal Set Quantum Gravity: The emergence of the continuum
• Gravity and Matter in Causal Set Theory
• Dynamics & Predictions in the Co-Event Interpretation
• Quantum Histories and Quantum Gravity

Cited by in corpus (19)

• The Renormalization Group flow of unimodular f(R) gravity
• The Generalized Second Law implies a Quantum Singularity Theorem
• Scalar Field Theory on a Causal Set in Histories Form
• Relativistic deformed kinematics from momentum space geometry
• Phenomenological consequences of a geometry in the cotangent bundle
• Constraints on the deformation scale of a geometry in the cotangent bundle
• Curved momentum space, locality, and generalized space-time
• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Comparison theorems for causal diamonds
• Causal Set Generator and Action Computer
• Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
• Twin Peaks: A possible signal in the production of resonances beyond special relativity
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Space-time thermodynamics in momentum dependent geometries
• A new perspective on Doubly Special Relativity
• Relativistic deformed kinematics: from flat to curved spacetimes
• Doubly special relativity as a non-local quantum field theory
• Quantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?
• Exploring black hole mechanics in cotangent bundle geometries