Uncertainty principle for proper time and mass

Details Uncertainty principle for proper time and mass Uncertainty principle for proper time and mass

1999-01-09

arxiv.org/abs/quant-ph/9901019v1

J.Math.Phys. 40 (1999) 1237-1245

Physics

Quantum Physics

15 pages, accepted for publication in J. Math. Phys

Scientific paper

10.1063/1.532797

We review Bohr's reasoning in the Bohr-Einstein debate on the photon box experiment. The essential point of his reasoning leads us to an uncertainty relation between the proper time and the rest mass of the clock. It is shown that this uncertainty relation can be derived if only we take the fundamental point of view that the proper time should be included as a dynamic variable in the Lagrangian describing the system of the clock. Some problems and some positive aspects of our approach are then discussed.

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