# A causal perspective on random geometry

@article{Zohren2009ACP, title={A causal perspective on random geometry}, author={Stefan Zohren}, journal={arXiv: High Energy Physics - Theory}, year={2009} }

In this thesis we investigate the importance of causality in non-perturbative approaches to quantum gravity. Firstly, causal sets are introduced as a simple kinematical model for causal geometry. It is shown how causal sets could account for the microscopic origin of the Bekenstein entropy bound. Holography and finite entropy emerge naturally from the interplay between causality and discreteness. Going beyond causal set kinematics is problematic however. It is a hard problem to find the right…

## 10 Citations

### Extrinsic curvature in two-dimensional causal dynamical triangulation

- Physics
- 2016

Causal dynamical triangulation (CDT) is a nonperturbative quantization of general relativity. Hořava-Lifshitz gravity, on the other hand, modifies general relativity to allow for perturbative…

### Uniform infinite and Gibbs causal triangulations

- Mathematics
- 2012

We discuss uniform infinite causal triangulations (UICT) and Gibbs causal triangulations which are probabilistic models for the causal dynamical triangulations (CDT) approach
to quantum gravity.…

### From Trees to Gravity

- Mathematics
- 2022

In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorﬀ and spectral dimensions that arise in these models are…

### Growth of Uniform Infinite Causal Triangulations

- Mathematics
- 2013

We introduce a growth process which samples sections of uniform infinite causal triangulations by elementary moves in which a single triangle is added. A relation to a random walk on the integer half…

### The cylinder amplitude in the hard dimer model on 2D causal dynamical triangulations

- PhysicsClassical and Quantum Gravity
- 2022

We consider the model of hard dimers coupled to two-dimensional causal dynamical triangulations (CDT) with all dimer types present and solve it exactly subject to a single restriction. Depending on…

### Two-dimensional causal dynamical triangulations with gauge fields

- Physics
- 2013

Two-dimensional Causal Dynamical Triangulations provides a definition of the path integral for projectable two-dimensional Horava-Lifshitz quantum gravity. We solve the theory coupled to gauge fields.

### M ay 2 01 3 2 d CDT with gauge fields

- Physics
- 2013

Two-dimensional Causal Dynamical Triangulations provides a definition of the path integral for projectable two-dimensional Horava-Lifshitz quantum gravity. We solve the theory coupled to gauge…

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