Quantum gravity as a multitrace matrix model

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

• quantum gravity
• random geometry
• spectral triples
• emergent geometry
• topology change
• random surfaces
• two-dimensional quantum gravity

• Noncommutative and Quantum Gravity Theories
• Black Holes and Theoretical Physics
• Random Matrices and Applications
• quantum gravity
• random geometry
• spectral triples
• emergent geometry
• topology change
• random surfaces
• two-dimensional quantum gravity
• Statistical and Nonlinear Physics
• Nuclear and High Energy Physics
• Statistics and Probability
• Physics and Astronomy
• Mathematics