On generalised statistical equilibrium and discrete quantum gravity [electronic resource] / Isha Kotecha.

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On generalised statistical equilibrium and discrete quantum gravity [electronic resource] / Isha Kotecha.

9783030909697 (electronic bk.)
3030909697 (electronic bk.)
3030909689
9783030909680

Cham, Switzerland : Springer, 2022.

English

1 online resource.

10.1007/978-3-030-90969-7 doi

QC178

531/.14

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.

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

Includes bibliographical references.

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

Springer theses.

Print version: 9783030909680

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