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.
Comment on "Uncertainty in measurements of distance"
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We have argued that quantum mechanics and general relativity give a lower bound $\delta l \gtrsim l^{1/3} l_P^{2/3}$ on the measurement uncertainty of any distance $l$ much greater than the Planck length $l_P$. Recently Baez and Olson have claimed that one can go below this bound by attaching the measuring device to a massive elastic rod. Here we refute their claim. We also reiterate (and invite our critics to ponder on) the intimate relationship and consistency between black hole physics (including the holographic principle) and our bound on distance measurements.
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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.