Quantum Theory as an Emergent Phenomenon - Stephen L. Adler

Quantum Theory as an Emergent Phenomenon

The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory
Buch | Softcover
240 Seiten
2009
Cambridge University Press (Verlag)
978-0-521-11597-1 (ISBN)
56,10 inkl. MwSt
Quantum mechanics is our most successful physical theory but raises conceptual issues that perplex physicists and philosophers of science. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but in fact an emergent phenomenon arising from a deeper level of dynamics.
Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an 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 phenomenological proposals for stochastic modifications to Schrödinger dynamics.

Acknowledgement; Introduction and overview; 1. Trace dynamics: the classical Lagrangian and Hamiltonian dynamics of matrix models; 2. Additional generic conserved quantities; 3. Trace dynamics models with global supersymmetry; 4. Statistical mechanics of matrix models; 5. The emergence of quantum field dynamics; 6. Brownian motion corrections to Schrödinger dynamics; 7. Discussion and outlook; Appendices; References.

Erscheint lt. Verlag 23.7.2009
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 170 x 244 mm
Gewicht 390 g
Themenwelt Naturwissenschaften Physik / Astronomie Quantenphysik
ISBN-10 0-521-11597-3 / 0521115973
ISBN-13 978-0-521-11597-1 / 9780521115971
Zustand Neuware
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