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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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The Problem of Time - Quantum Mechanics Versus General Relativity (Hardcover, 1st ed. 2017)
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The Problem of Time - Quantum Mechanics Versus General Relativity (Hardcover, 1st ed. 2017)
Series: Fundamental Theories of Physics, 190
Expected to ship within 10 - 15 working days
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This book is a treatise on time and on background independence in
physics. It first considers how time is conceived of in each
accepted paradigm of physics: Newtonian, special relativity,
quantum mechanics (QM) and general relativity (GR). Substantial
differences are moreover uncovered between what is meant by time in
QM and in GR. These differences jointly source the Problem of Time:
Nine interlinked facets which arise upon attempting concurrent
treatment of the QM and GR paradigms, as is required in particular
for a background independent theory of quantum gravity. A sizeable
proportion of current quantum gravity programs - e.g.
geometrodynamical and loop quantum gravity approaches to quantum
GR, quantum cosmology, supergravity and M-theory - are background
independent in this sense. This book's foundational topic is thus
furthermore of practical relevance in the ongoing development of
quantum gravity programs. This book shows moreover that eight of
the nine facets of the Problem of Time already occur upon
entertaining background independence in classical (rather than
quantum) physics. By this development, and interpreting shape
theory as modelling background independence, this book further
establishes background independence as a field of study. Background
independent mechanics, as well as minisuperspace (spatially
homogeneous) models of GR and perturbations thereabout are used to
illustrate these points. As hitherto formulated, the different
facets of the Problem of Time greatly interfere with each others'
attempted resolutions. This book explains how, none the less, a
local resolution of the Problem of Time can be arrived at after
various reconceptualizations of the facets and reformulations of
their mathematical implementation. Self-contained appendices on
mathematical methods for basic and foundational quantum gravity are
included. Finally, this book outlines how supergravity is
refreshingly different from GR as a realization of background
independence, and what background independence entails at the
topological level and beyond.
General
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