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The necessity of quantizing the gravitational field

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The assumption that a classical gravitational field interacts with a quantum system is shown to lead to violations of either momentum conservation or the uncertainty principle, or to result in transmission of signals faster thanc. A similar argument holds for the electromagnetic field.

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Work supported in part by NSF Grant GP30799X.

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Eppley, K., Hannah, E. The necessity of quantizing the gravitational field. Found Phys 7, 51–68 (1977).

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