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On generalised statistical equilibrium and discrete quantum gravity

Record Type:	Electronic resources : Monograph/item
Title/Author:	On generalised statistical equilibrium and discrete quantum gravityby Isha Kotecha.
Author:	Kotecha, Isha.
Published:	Cham :Springer International Publishing :2022.
Description:	xix, 180 p. :ill., digital ;24 cm.
Notes:	"Doctoral Thesis accepted by Humboldt-Universitat zu Berlin, Berlin, Germany."
Contained By:	Springer Nature eBook
Subject:	Quantum gravity.
Online resource:	https://doi.org/10.1007/978-3-030-90969-7
ISBN:	9783030909697$q(electronic bk.)

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

On generalised statistical equilibrium and discrete quantum gravity[electronic resource] /by Isha Kotecha. - Cham :Springer International Publishing :2022. - xix, 180 p. :ill., digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

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

Introduction -- Generalised Statistical Equilibrium -- Many-Body Quantum Spacetime -- Group Field Theory -- Thermal Group Field Theory.

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.

ISBN: 9783030909697$q(electronic bk.)

Standard No.: 10.1007/978-3-030-90969-7doiSubjects--Topical Terms:

322308
Quantum gravity.

LC Class. No.: QC178 / .K67 2022

Dewey Class. No.: 531.14

On generalised statistical equilibrium and discrete quantum gravity
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245 1 0 $a On generalised statistical equilibrium and discrete quantum gravity $h [electronic resource] / $c by Isha Kotecha.
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500 $a "Doctoral Thesis accepted by Humboldt-Universitat zu Berlin, Berlin, Germany."
505 0 $a Introduction -- Generalised Statistical Equilibrium -- Many-Body Quantum Spacetime -- Group Field Theory -- Thermal Group Field Theory.
520 $a 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.
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