The quantum-mechanical energy-time uncertainty relation and the expression for the effect of a gravitational field on the rate of a clock are used in a simple demonstration that a quantum theory of gravitation must place a limit on the smallness of space-time intervals which can be measured.
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PAPERS| November 01 1974
The Fundamental Length of Quantized Gravitation
George L. Murphy; The Fundamental Length of Quantized Gravitation. Am. J. Phys. 1 November 1974; 42 (11): 958–959. https://doi.org/10.1119/1.1987904
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