Uncertainty principle for proper time and mass
Quantum Physics
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/9901019,
title = {Uncertainty principle for proper time and mass},
author = {Shoju Kudaka and Shuichi Matsumoto},
journal= {arXiv preprint arXiv:quant-ph/9901019},
year = {2009}
}
Comments
15 pages, accepted for publication in J. Math. Phys