The Einstein-Hilbert action is expressed as the zero-length limit of the total proper length of closed quantum loops, with the loop measure defined through a Fourier transform of the Feynman propagator.
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A Measure for Quantum Paths, Gravity and Spacetime Microstructure
The Einstein-Hilbert action is expressed as the zero-length limit of the total proper length of closed quantum loops, with the loop measure defined through a Fourier transform of the Feynman propagator.