Von Neumann, Gödel and Quantum Incompleteness
作者： Thomas Breuer , None
DOI: 10.1007/978-94-017-2012-0_6
关键词: Gödel 、 Quantum 、 Formal system 、 Measurement problem 、 Schrödinger equation 、 Von Neumann architecture 、 Mathematics 、 Calculus 、 Completeness (logic)
摘要: John von Neumann was among the first to learn about Kurt Godel’s results on incompleteness of formal systems. Did this shape his views completeness quantum mechanics? I will investigate question from two viewpoints: Neumann’s no-hidden-variables proof and treatment measurement problem.
springer.com
sci-hub.st 参考文章(17)
Karl Svozil, Randomness And Undecidability In Physics ,(1993)
F. London, Paul Langevin, E. Bauer, La théorie de l'observation en mécanique quantique Hermann. ,(1939)
J. von Neumann, Über eine Widerspruchfreiheitsfrage in der axiomatischen Mengenlehre. Crelle's Journal. ,vol. 160, pp. 227- 241 ,(1929)
John L. Casti, Andrers Karlqvist, Real brains: artificial minds Elsevier North-Holland, Inc.. ,(1987)
Thomas Breuer, Subjective decoherence in quantum measurements Synthese. ,vol. 107, pp. 1- 17 ,(1996) , 10.1007/BF00413900
Johann v. Neumann, Die formalistische Grundlegung der Mathematik Erkenntnis. ,vol. 2, pp. 116- 121 ,(1931) , 10.1007/BF02028144
Simon Kochen, E. P. Specker, The Problem of Hidden Variables in Quantum Mechanics Indiana University Mathematics Journal. ,vol. 17, pp. 293- 328 ,(1967) , 10.1007/978-94-010-1795-4_17
Thomas Breuer, The Impossibility of Accurate State Self-Measurements Philosophy of Science. ,vol. 62, pp. 197- 214 ,(1995) , 10.1086/289852
JOHN S. BELL, On the Problem of Hidden Variables in Quantum Mechanics Reviews of Modern Physics. ,vol. 38, pp. 447- 452 ,(1966) , 10.1103/REVMODPHYS.38.447
Eugene P. Wigner, The Problem of Measurement American Journal of Physics. ,vol. 31, pp. 6- 15 ,(1963) , 10.1119/1.1969254