A heuristic argument that a clock's own gravity stops its wave-packet from spreading, reducing the minimum length-measurement uncertainty from the Karolyhazy scale l_P^(2/3) l^(1/3) to the Planck length.
Is Quantum Gravity Necessary?
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In view of the enormous difficulties we seem to face in quantizing general relativity, we should perhaps consider the possibility that gravity is a fundamentally classical interaction. Theoretical arguments against such mixed classical-quantum models are strong, but not conclusive, and the question is ultimately one for experiment. I review some work in progress on the possibility of experimental tests, exploiting the nonlinearity of the classical-quantum coupling, that could help settle this question.
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Salecker-Wigner-Karolyhazy Gedankenexperiment in light of the self-gravity
A heuristic argument that a clock's own gravity stops its wave-packet from spreading, reducing the minimum length-measurement uncertainty from the Karolyhazy scale l_P^(2/3) l^(1/3) to the Planck length.