Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-07T21:29:26.116Z Has data issue: false hasContentIssue false

Einstein's Dissatisfaction with Nonrelativistic Quantum Mechanics and Relativistic Quantum Field Theory

Published online by Cambridge University Press:  01 January 2022

Abstract

It is argued that in his critique of standard nonrelativistic quantum mechanics Einstein formulated three requirements as necessary for a physical theory to be compatible with the field-theorectical paradigm, and it is shown that local, relativistic, algebraic quantum field theory typically satisfies those criteria—although, there are still open questions concerning the status of operational separability of quantum systems localized in spacelike separated space-time regions. It is concluded that local algebraic quantum field theory can be viewed as a research program that Einstein suggested informally in 1948 and that was realized only later in mathematical physics.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This work was supported in part by the Hungarian Scientific Research Fund (OTKA), contract K68043.

References

Blackadar, B. 2005. Operator Algebras: Theory of C*-Algebras and von Neumann Algebras. Heidelberg: Springer.Google Scholar
Clifton, R., and Halvorson, H.. 2000. “Generic Bell Correlation between Arbitrary Local Algebras in Quantum Field Theory.” Journal of Mathematical Physics 41:1711–17.Google Scholar
Clifton, R., and Halvorson, H.. 2001. “Entanglement and Open Systems in Algebraic Quantum Field Theory.” Studies in History and Philosophy of Modern Physics 32:131.CrossRefGoogle Scholar
Einstein, A. 1936. “Physik und Realität.” Journal of the Franklin Institute 221:313–47.Google Scholar
Einstein, A.. 1948. “Quanten-Mechanik und Wirklichkeit.” Dialectica 2:320–24.CrossRefGoogle Scholar
Einstein, A.. 1949. “Autobiographisches.” In Albert Einstein: Philosopher-Scientist, ed. Schilpp, P. A., 196. Evanston, IL: Open Court.Google Scholar
Einstein, A., Podolsky, B., and Rosen, N.. 1935. “Can Quantum Mechanical Description of Physical Reality Be Considered Complete?Physical Review 47:777–80.CrossRefGoogle Scholar
Haag, R. 1992. Local Quantum Physics. Heidelberg: Springer.CrossRefGoogle Scholar
Haag, R., and Kastler, D.. 1964. “An Algebraic Approach to Quantum Field Theory.” Journal of Mathematical Physics 5:848–61.CrossRefGoogle Scholar
Haag, R., and Schroer, B.. 1962. “Postulates of Quantum Field Theory.” Journal of Mathematical Physics 3:248–56.CrossRefGoogle Scholar
Horuzhy, S. S. 1990. Introduction to Algebraic Quantum Field Theory. Dordrecht: Kluwer.Google Scholar
Howard, D. 1985. “Einstein on Locality and Separability.” Studies in History and Philosophy of Science 16:171201.CrossRefGoogle Scholar
Jammer, M. 1985. “The EPR Problem in Its Historical Development.” In Symposium on the Foundations of Modern Physics: 50 Years of the Einstein-Podolsky-Rosen Gedankenexperiment, ed. Lahti, P. and Mittelstaedt, P., 129–49. Singapore: World Scientific.Google Scholar
Kadison, R. V., and Ringrose, J. R.. 1986. Fundamentals of the Theory of Operator Algebras. Vols. 1 and 2. Orlando: Academic Press.Google Scholar
Kraus, K. 1983. States, Effects and Operations. Lecture Notes in Physics 190. New York: Springer.Google Scholar
Rédei, M. 2005. John von Neumann: Selected Letters. History of Mathematics 27. Providence, RI: American Mathematical Society and London Mathematical Society.CrossRefGoogle Scholar
Rédei, M.. 2006. “Von Neumann on Quantum Correlations.” In Physical Theory and Its Interpretation: Essays in Honor of Jeffrey Bub, ed. Demopoulos, B. and Pitowsky, I., 241–52. New York: Springer.Google Scholar
Rédei, M.. 2007. “Remarks on Causality in Relativistic Quantum Field Theory.” International Journal of Theoretical Physics 46:2053–62.CrossRefGoogle Scholar
Rédei, M., and Summers, S. J.. 2002. “Local Primitive Causality and the Common Cause Principle in Quantum Field Theory.” Foundations of Physics 32:335–55.CrossRefGoogle Scholar
Rédei, M., and Summers, S. J.. 2010. “When Are Quantum Systems Operationally Independent?” International Journal of Theoretical Physics, forthcoming.Google Scholar
Rédei, M., and Valente, G.. 2010. “How Local Are Local Operations in Local Quantum Field Theory?” Studies in History and Philosophy of Modern Physics, forthcoming.CrossRefGoogle Scholar
Summers, S. J. 1987a. “Bell's Inequalities and Quantum Field Theory,” pt. 1, “General Setting,” and pt. 2, “Bell's Inequalities Are Maximally Violated in the Vacuum.” Journal of Mathematical Physics 28:2440–47, 2448–56.CrossRefGoogle Scholar
Summers, S. J.. 1987b. “Maximal Violation of Bell's Inequalities Is Generic in Quantum Field Theory.” Commununications in Mathematical Physics 110:247–59.Google Scholar
Summers, S. J.. 1988. “Maximal Violation of Bell's Inequalities for Algebras of Observables in Tangent Spacetime Regions.” Annales de l'Institut Henri Poincaré: Physique théorique 49:215–43.Google Scholar
Summers, S. J.. 1990a. “Bell's Inequalities and Quantum Field Theory.” In Quantum Probability and Applications V, ed. Accardi, L. and Waldenfels, W. von, 393413. Lecture Notes in Mathematics 1442. Berlin: Springer.CrossRefGoogle Scholar
Summers, S. J.. 1990b. “On the Independence of Local Algebras in Quantum Field Theory.” Reviews in Mathematical Physics 2:201–47.CrossRefGoogle Scholar
Summers, S. J.. 1997. “Bell's Inequalities and Algebraic Structure.” In Operator Algebras and Quantum Field Theory, ed. Doplicher, S., Longo, R., Roberts, J. E., and Zsido, L., 633–46. Providence, RI: International Press.Google Scholar
Summers, S. J.. 2009. “Subsystems and Independence in Relativistic Microphysics.” Studies in History and Philosophy of Modern Physics 40:133–41.CrossRefGoogle Scholar
Summers, S. J., and Werner, R.. 1985. “The Vacuum Violates Bell's Inequalities.” Physics Letters A 110:257–79.Google Scholar