Abstract
Generic self-gravitating quantum solutions that are not critically dependent on the specifics of microscopic interactions are presented. The solutions incorporate curvature effects, are consistent with the universality of gravity, and have appropriate correspondence with Newtonian gravitation. The results are consistent with known experimental results that indicate the maintenance of the quantum coherence of gravitating systems, as expected through the equivalence principle.
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References
Colella, R., Overhauser, A.W., Werner, S.A.: Observation of gravitationally induces quantum interference. Phys. Rev. Lett. 34, 1472–1474 (1975)
Overhauser, A.W., Colella, R.: Experimental tests of gravitationally induced quantum interference. Phys. Rev. Lett. 33, 1237 (1974)
Muller, H., Peters, A., Chu, S.: A precision measurement of the gravitational redshift by the interference of matter waves. Nature 463, 926–929 (2010). doi:10:1038/nature08776
Gill, T., Lindesay, J.: Canonical proper time formulation of relativistic particle dynamics. Int. J. Theor. Phys. 32, 2087–2098 (1993)
Lindesay, J., Gill, T.: Canonical proper time formulation for physical systems. Found. Phys. 34(1), 169–182 (2004)
Lindesay, J.: Foundations of Quantum Gravity, Cambridge University Press, to be published 2013
Acknowledgements
The author gratefully acknowledges useful past discussions with Tepper Gill, Tehani Finch, and Lenny Susskind.
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Lindesay, J. Self-consistent Solutions of Canonical Proper Self-gravitating Quantum Systems. Found Phys 42, 1573–1585 (2012). https://doi.org/10.1007/s10701-012-9684-2
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DOI: https://doi.org/10.1007/s10701-012-9684-2