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Quantum Theory as an Emergent Phenomenon - The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory (Hardcover, New)
Loot Price: R3,861
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Quantum Theory as an Emergent Phenomenon - The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory (Hardcover, New)
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Quantum mechanics is our most successful physical theory. However,
it raises conceptual issues that have perplexed physicists and
philosophers of science for decades. This book develops a new
approach, based on the proposal that quantum theory is not a
complete, final theory, but is in fact an emergent phenomenon
arising from a deeper level of dynamics. The dynamics at this
deeper level are taken to be an extension of classical dynamics to
non-commuting matrix variables, with cyclic permutation inside a
trace used as the basic calculational tool. With plausible
assumptions, quantum theory is shown to emerge as the statistical
thermodynamics of this underlying theory, with the canonical
commutation/anticommutation relations derived from a generalized
equipartition theorem. Brownian motion corrections to this
thermodynamics are argued to lead to state vector reduction and to
the probabilistic interpretation of quantum theory, making contact
with recent phenomenological proposals for stochastic modifications
to Schrodinger dynamics.
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