Abstract
Bohr's 1930 derivation of the uncertainty relation c2 δm δt≥h bears a close relationship to Einstein's 1913 derivation of the “gravitational redshift” via the “equivalence principle.” A rewording of Bohr's argument is presented here, not taking the last step of acceleration as “equivalent” to a uniform gravity field, thus yielding a derivation of the formula c2 δm δt≥h, avoiding Treder's 1971 objection.
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References
H. J. Treder, “The Einstein-Bohr box experiment,” inPerspectives in Quantum Theory, W. Yourgrau and A. van der Merwe, eds. (MIT Press, Cambridge, Massachusetts, 1971), pp. 17–24.
N. Bohr, “Discussions with Einstein,” inAlbert Einstein: Philosopher-Scientist, P. A. Schilpp, ed. (Open Court, La Salle, Illinois, 1949), pp. 224–228.
A. Einstein, “Einfluss der Schwerkraft auf die Ausbreitung des Lichtes,”Ann. Phys. 35, 898 (1911).
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Costa de Beauregard, O. Bohr's discussion of the fourth uncertainty relation revisited. Found Phys 16, 937–939 (1986). https://doi.org/10.1007/BF00765340
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DOI: https://doi.org/10.1007/BF00765340