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A proposed experiment to test whether space is discretized [J. D. Bekenstein,Phys. Rev. D 86, 124040 (2012); Found. Phys. 44, 452 (2014)] is based on thesupposed impossibility of an incident photon causing a displacement of atransparent block by less than the Planck length. An analysis of the quantumand thermal jitter of the block shows that it greatly diminishes thepossibility that the experiment could reveal Planck-scale signals.

Effect of quantum and thermal jitter on the feasibility of Beckenstein's proposed experiment to search for Planck-scale signals