# A sum-over-histories account of an EPR(B) experiment

Article

Received:

- 117 Downloads
- 9 Citations

## Abstract

We analyze a variant of the EPRB experiment within a framework for quantum mechanics that rests on a radical interpretation of the sum over histories. Within this framework, reality is (just as classically) a single “history”, e.g. a definite collection of particles undergoing definite motions; and quantum dynamics appears as a kind of stochastic law of motion for that history, a law formulated in terms of non-classical probability-amplitudes. No state vectors enter this framework, and their attendant nonlocality is therefore absent as well.

### Key words

EPR photons sum-over-histories## Preview

Unable to display preview. Download preview PDF.

### References

- [1]
- [2]B. DeWitt and N. Graham,
*The Many Worlds Interpretation of Quantum Mechanics*(Princeton University Press, Princeton, 1973).Google Scholar - [3]G. Hellman, “Quantum logic and meaning”, in
*PSA 1980*, Vol. 2, pp.493–511 (Philosophy of Science Association , 1981).Google Scholar - [4]R.P. Feynman, “Space-Time approach to non-relativistic quantum mechanics,”
*Rev. Mod. Phys.***20**, 267 (1948); R.P Feynman and A.R. Hibbs*Quantum Mechanics and Path Integrals*(McGraw Hill, New York, 1965).Google Scholar - [5]R.D Sorkin, “Problems with causality in the sum-over-histories framework for quantum mechanics”, in
*Proceedings, the Osgood Hill Conference on the Conceptual problems of Quantum Gravity, May 1988*, eds. A. Ashtekar and J.Stachel ( Birkhäuser,Boston, to appear).Google Scholar - [6]R.D. Sorkin, “On the role of time in the sum-over-histories framework for gravity,” in
*Proceedings,the Conference on History of Modern Gauge Theories, Logan Utah, July 1987*, ed. by M.Dresden and A. Rosenblum (World Scientific, Singapore, in press).Google Scholar - [7]J.B Hartle, “Quantum kinematics of space-time, III: General relativity” UCSB preprintGoogle Scholar
- [8]C. Caves, “Quantum mechanics of measurements distributed in time. A path-integral formulation,”
*Phys. Rev. D***33**, 1643 (1986).Google Scholar - [9]
- [10]S. Kochen and E.P Specker, “The problem of hidden variables in quantum mechanics”
*J. Math. Mech.***17**, 59 (1967).Google Scholar - [11]R.P Feynman and J.R Vernon, “The theory of a general quantum system interacting with a linear dissipative system”,
*Ann. Phys. (N.Y)***24**, 118 (1963); A.O. Caldeira and A.J Leggett, “Path integral approach to quantum Brownian motion”,*Physica***121A**, 587 (1983).Google Scholar - [12]H. Weyl, “Wissenschaft als Symbolische Konstruction des Menschen,” Eranos-Jahrbuch 1948, vol. 16:
*Der Mensch*, p.428 (Rhein-Verlag,Zürich 1949).Google Scholar - [13]Rafael Sorkin (unpublished), 1985Google Scholar
- [14]Allen Stairs, private communicationGoogle Scholar
- [15]D.M Greenberger, M. Horne, A. Shimony and A. Zeilinger,
*Am. J. Phys.***58**, 1131(1990);N.D. Mermin,*Phys. Rev. Lett.***65**, 3373(1990).Google Scholar - [16]M.Horne, A. Shimony and A. Zeilinger, “Introduction to two-particle interferometry” in
*Sixty-two Years of Uncertainty*ed. by A. Miller (Plenum, New York 1990); J.G Rarity and P.R Tapster, “ Experimental violation of Bell's inequality based on phase and momentum”,*Phys. Rev. Lett.***64**, 2495 (1990)Google Scholar - [17]Sorkin, R.D., “Quantum states (still) cannot be local”, University of Maryland preprint (1983)Google Scholar

## Copyright information

© Plenum Publishing Corporation 1991