Summary
The purpose of this note is to prove, under the hypothesis of validity of:a) the Heisenberg indefiniteness principle,b) Lorentz transformation in a local inertial frame,c) the « equivalence principle », the existence of a minorant of the indefiniteness for the measurement of a position. « Planck radius » appears to be such a minorant.
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Ferretti, B. On the existence of a minorant of the indefiniteness for the measurement of a position. Lett. Nuovo Cimento 40, 169–170 (1984). https://doi.org/10.1007/BF02719542
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DOI: https://doi.org/10.1007/BF02719542