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Quantum theory as an emergent phenomenon : the statistical mechanics of matrix models as the precursor of quantum field theory /
"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 matr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Adler, Stephen L. | |
| 245 | 1 | 0 | |a Quantum theory as an emergent phenomenon : |b the statistical mechanics of matrix models as the precursor of quantum field theory / |c Stephen L. Adler. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2004. | ||
| 300 | |a 1 online resource (xi, 225 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 212-219) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t The quantum measurement problem -- |t Reinterpretations of quantum mechanical foundations -- |t Motivations for believing that quantum mechanics is incomplete -- |t Brief historical remarks on trace dynamics -- |t Trace dynamics: the classical Lagrangian and Hamiltonian dynamics of matrix models -- |t Bosonic and fermionic matrices and the cyclic trace identities -- |t Derivative of a trace with respect on an operator -- |t Lagrangian and Hamiltonian dynamics of matrix models -- |t The generalized Poisson bracket, its properties, and applications -- |t Trace dynamics contrasted with unitary Heisenberg picture dynamics -- |t Additional generic conserved quantities -- |t The trace "fermion number" N -- |t The conserved operator C -- |t Conserved quantities for continuum spacetime theories -- |t An illustrative example: a Dirac fermion coupled to a scalar Klein-Gordon field -- |t Symmetries of conserved quantities under p[subscript F left and right arrow] q[subscript F] -- |t Trace dynamics models with global supersymmetry -- |t The Wess-Zumino model -- |t The supersymmetric Yang-Mills model -- |t The matrix model for M theory -- |t Superspace considerations and remarks -- |t Statistical mechanics of matrix models -- |t The Liouville theorem -- |t The canonical ensemble -- |t The microcanonical ensemble -- |t Gauge fixing in the partition function -- |t Reduction of the Hilbert space modulo i[subscript eff] -- |t Global unitary fixing -- |t The emergence of quantum field dynamics -- |t The general Ward identity -- |t Variation of the source terms -- |t Approximations/assumptions leading to the emergence of quantum theory. |
| 520 | 1 | |a "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 | |
| 546 | |a English. | ||
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| 776 | 0 | 8 | |i Print version: |a Adler, Stephen L. |t Quantum theory as an emergent phenomenon. |d Cambridge, UK ; New York : Cambridge University Press, 2004 |w (DLC) 2003064019 |
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