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On Generalised Statistical Equilibrium and Discrete Quantum Gravity (Hardcover, 1st ed. 2022)
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On Generalised Statistical Equilibrium and Discrete Quantum Gravity (Hardcover, 1st ed. 2022)
Series: Springer Theses
Expected to ship within 12 - 19 working days
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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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