**Singularities and Quantum Gravity**

by Martin Bojowald

**Publisher**: arXiv 2007**Number of pages**: 41

**Description**:

In these lectures we present an overview of the current status of singularities in classical and quantum gravity, starting with a review and interpretation of the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems by different means, including modified dynamics or modified geometrical structures underlying quantum gravity.

Download or read it online for free here:

**Download link**

(730KB, PDF)

## Similar books

**Quantum Physics, Relativity, and Complex Spacetime**

by

**Gerald Kaiser**-

**University of Massachusetts at Lowell**

A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.

(

**9657**views)

**Canonical Transformations in Quantum Mechanics**

by

**Arlen Anderson**-

**arXiv**

Quantum canonical transformations are defined algebraically. This generalizes the quantum canonical transformations to include non-unitary transformations. Their importance for constructing solutions of the Schroedinger equation is discussed.

(

**5107**views)

**An Elementary Introduction to Loop Quantum Gravity**

by

**Norbert Bodendorfer**-

**arXiv**

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises.

(

**2376**views)

**Introduction to Loop Quantum Gravity**

by

**Simone Mercuri**-

**arXiv**

After a description of some general arguments and an introduction to the canonical theory of gravity, the author reviews the background independent approach to quantum gravity, giving only a brief survey of Loop Quantum Gravity.

(

**5660**views)