Abstract
The intensity of the wave function of a quantum particle is shown to undergo a spatial oscillation due to the influence of a quantum superposition of space-time geometries in a simply connected region, even though each geometry is flat in this region.
Similar content being viewed by others
References
Møller, C. (1962). InLes Theories Relativistes de la Gravitation, A. Lichenerowicz and M. A. Tonnelat, eds. (CNRS, Paris); Rosenfeld, L. (1963).Nucl. Phys. 40, 353; Kibble, T.W.B. (1978).Commun. Math. Phys. 64, 73.
Page, D. N., and Geilker, C. D. (1981).Phys. Rev. Lett. 47, 979; Lesche, B. (1980). Unpublished.
Colella, R., Overhauser, A. W., and Werner, S. A. (1975).Phys. Rev. Lett. 34, 9.
Mazur, P. O. (1986).Phys. Rev. Lett. 57, 929.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco).
Anandan, J. (1977).Phys. Rev. D 15, 1448;id. (1981).Phys. Rev. D 24, 338.
Ashtekar, A., and Magnon, A. (1975).J. Math. Phys. 16, 342.
DeWitt, B. S. (1966).Phys. Rev. Lett. 16, 1092.
Aharonov, Y., and Bohm, D. (1959).Phys. Rev. 115, 485.
Anandan, J. (1992).Phys. Lett. A164, 369.
Aharonov, Y., and Anandan, J. (1991).Phys. Lett. A160, 493.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anandan, J. Interference of geometries in quantum gravity. Gen Relat Gravit 26, 125–133 (1994). https://doi.org/10.1007/BF02105148
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02105148