| Description |
1 online resource (xi, 225 pages) : illustrations |
|
data file |
| Physical Medium |
polychrome |
| Bibliography |
Includes bibliographical references (pages 212-219) and index. |
| Contents |
Quantum measurement problem -- Reinterpretations of quantum mechanical foundations -- Motivations for believing that quantum mechanics is incomplete -- Brief historical remarks on trace dynamics -- Trace dynamics: the classical Lagrangian and Hamiltonian dynamics of matrix models -- Bosonic and fermionic matrices and the cyclic trace identities -- Derivative of a trace with respect on an operator -- Lagrangian and Hamiltonian dynamics of matrix models -- Generalized Poisson bracket, its properties, and applications -- Trace dynamics contrasted with unitary Heisenberg picture dynamics -- Additional generic conserved quantities -- Trace "fermion number" N -- Conserved operator C -- Conserved quantities for continuum spacetime theories -- An illustrative example: a Dirac fermion coupled to a scalar Klein-Gordon field -- Symmetries of conserved quantities under p[subscript F left and right arrow] q[subscript F] -- Trace dynamics models with global supersymmetry -- Wess-Zumino model -- Supersymmetric Yang-Mills model -- Matrix model for M theory -- Superspace considerations and remarks -- Statistical mechanics of matrix models -- Liouville theorem -- Canonical ensemble -- Microcanonical ensemble -- Gauge fixing in the partition function -- Reduction of the Hilbert space modulo i[subscript eff] -- Global unitary fixing -- Emergence of quantum field dynamics -- General Ward identity -- Variation of the source terms -- Approximations/assumptions leading to the emergence of quantum theory. |
| Summary |
"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 is 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."--Jacket. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Quantum theory.
|
|
Quantum theory. |
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Physics.
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|
Physics. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Other Form: |
Print version: Adler, Stephen L. Quantum theory as an emergent phenomenon. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003064019 |
| ISBN |
0511216556 (electronic book) |
|
9780511216558 (electronic book) |
|
9780511535277 (electronic book) |
|
0511535279 (electronic book) |
|
9780511207600 (electronic book ; EB20) |
|
0511207603 (electronic book ; EB20) |
|
1280516100 |
|
9781280516108 |
|
051121118X |
|
9780511211188 |
|
0521831946 |
|
9780521831949 |
|
051121295X |
|
9780511212956 |
|
