Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-09-06
Class.Quant.Grav. 20 (2003) 393
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, aastex
Scientific paper
10.1088/0264-9381/20/2/311
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.
Dam van H.
NG Yee Jack
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