On Generalised Statistical Equilibrium and Discrete Quantum Gravity
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 formulat...
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| Author / Creator: | |
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| Other Corporate Authors / Creators: | SpringerLink (Online service) |
| Format: | Electronic eBook |
| Language: | English |
| Edition: | 1st ed. 2022. |
| Imprint: | Cham : Springer International Publishing : Imprint: Springer, 2022. |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Subjects: | |
| Online Access: | Available in Springer Physics and Astronomy eBooks 2022 English/International. |
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| 020 | |z 9783030909680 | ||
| 020 | |a 9783030909697 (online) | ||
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| 100 | 1 | |a Kotecha, Isha. |e author. |0 (orcid)0000-0002-3515-4355 |1 https://orcid.org/0000-0002-3515-4355 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a On Generalised Statistical Equilibrium and Discrete Quantum Gravity |h [electronic resource] |c by Isha Kotecha. |
| 250 | |a 1st ed. 2022. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2022. | |
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 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. | ||
| 650 | 0 | |a Gravitation. | |
| 650 | 0 | |a Cosmology. | |
| 650 | 0 | |a Statistical Mechanics. | |
| 650 | 0 | |a Quantum electrodynamics. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 0 | |a Thermodynamics. | |
| 650 | 1 | 4 | |a Classical and Quantum Gravity. |
| 650 | 2 | 4 | |a Cosmology. |
| 650 | 2 | 4 | |a Statistical Mechanics. |
| 650 | 2 | 4 | |a Quantum Electrodynamics, Relativistic and Many-body Calculations. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Thermodynamics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Physics and Astronomy eBooks 2022 English/International |d Springer Nature | |
| 776 | 0 | 8 | |i Printed edition: |z 9783030909680 |
| 776 | 0 | 8 | |i Printed edition: |z 9783030909703 |
| 776 | 0 | 8 | |i Printed edition: |z 9783030909710 |
| 776 | 1 | |t On Generalised Statistical Equilibrium and Discrete Quantum Gravity | |
| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 856 | 4 | 0 | |3 Full text available |z Available in Springer Physics and Astronomy eBooks 2022 English/International. |u https://ezproxy.wellesley.edu/login?url=https://link.springer.com/10.1007/978-3-030-90969-7 |