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Using simple arguments from general relativity and quantum theory the author shows that it is not possible to devise experiments (or operational procedures) which will measure the position of a particle to an accuracy better then the Planck length (G/c3) approximately=10-33 cm. It is also impossible to synchronise clocks to a precision better than Planck time. The implications of the result are discussed.
Τ. Padmanabhan (Wed,) studied this question.