Simplicial Quantum Gravity

Abstract

This is my PhD thesis on four-dimensional simplicial quantum gravity using the dynamical triangulation model. Most of the results we have published in separate papers are collected here for your convenience. Some new results have been added as well. Besides these results this thesis also contains an introduction to simplicial quantum gravity and a detailed description of my dynamical triangulation program for arbitrary dimension. Some small formal parts are in Dutch.

160 pages, PostScript (because you don't have all the mf fonts), replaced because of file corruption

Cited by in corpus (26)

• Observables in effective gravity
• Discrete approaches to quantum gravity in four dimensions
• Nonlocal Effective Gravitational Field Equations and the Running of Newton's G
• On the Measure in Simplicial Gravity
• On the Gravitational Scaling Dimensions
• Geometric triangulations and discrete Laplacians on manifolds
• Fluctuating geometries, q-observables, and infrared growth in inflationary spacetimes
• Gauge Invariance in Simplicial Gravity
• Non-Perturbative Gravity and the Spin of the Lattice Graviton
• Scaling Exponents for Lattice Quantum Gravity in Four Dimensions
• Cellular Networks as Models for Planck-Scale Physics
• Fixed-Topology Lorentzian Triangulations: Quantum Regge Calculus in the Lorentzian Domain
• Vacuum Condensate Picture of Quantum Gravity
• Euclidean Dynamical Triangulation revisited: is the phase transition really 1st order? (extended version)
• Cobordism Effects in the Regge Calculus Approach to Quantum Cosmology
• Continuum interpretation of the dynamical-triangulation formulation of quantum Einstein gravity
• A Discrete Representation of Einstein's Geometric Theory of Gravitation: The Fundamental Role of Dual Tessellations in Regge Calculus
• Cosmology as `Condensed Matter' Physics
• General Ether Theory
• Gravitational Fluctuations as an Alternative to Inflation II. CMB Angular Power Spectrum
• Euclidean Dynamical Triangulation revisited: is the phase transition really first order?
• A Closed Contour of Integration in Regge Calculus
• A Metric Theory of Gravity with Condensed Matter Interpretation
• A metageometric enquiry concerning time, space, and quantum physics
• Five Dimensional Dynamical Triangulations
• Numerical quantum gravity by dynamical triangulation