On generalised statistical equilibrium and discrete quantum gravity / Isha Kotecha.

Format:

Book

Author/Creator:

Kotecha, Isha, author.

Series:

Springer theses 2190-5061

Springer theses, 2190-5061

Language:

English

Subjects (All):

Quantum gravity.

Statistical physics.

Field theory (Physics).

Genre:

Electronic books.

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland : Springer, 2022.

Summary:

Absolute concepts of time and energy are integral to standard thermal physics, but background independent systems are devoid of them. This thesis explores the foundational question of generalising equilibrium statistical mechanics to background independent systems, and applies the resulting formulation to non-perturbative discrete quantum gravity. It offers a discussion of the rich interface of thermal physics and quantum gravity in this context, providing a broad contextualisation of such topics. This work details how standard tools from many-body physics can be generalised to discrete quantum gravity labelled with graph-based, or dual polyhedral, quanta that are common to various approaches like tensorial group field theory, loop quantum gravity, dynamical triangulations and lattice quantum gravity. It provides a systematic investigation, both conceptual and technical, of quantum gravitational Gibbs states, thermofield double vacuum states, and their application in condensate cosmology to probe questions of Big Bang singularity resolution and geometric inflation.

Contents:

Introduction

Generalised Statistical Equilibrium

Many-Body Quantum Spacetime

Group Field Theory

Thermal Group Field Theory.

Notes:

"Doctoral Thesis accepted by Humboldt-Universität zu Berlin, Berlin, Germany."

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed February 4, 2022).

ISBN:

9783030909697

3030909697

OCLC:

1294344268

Access Restriction:

Restricted for use by site license.