9901019v1

related topics
{field, particle, equation}
{energy, gaussian, time}
{time, systems, information}
{particle, mechanics, theory}
{operator, operators, space}
{equation, function, exp}
{force, casimir, field}
{measurement, state, measurements}
{bell, inequality, local}
{photon, photons, single}

Uncertainty principle for proper time and mass

Shoju Kudaka, Shuichi Matsumoto

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.

oai_identifier:
oai:arXiv.org:quant-ph/9901019
categories:
quant-ph
comments:
15 pages, accepted for publication in J. Math. Phys
doi:
10.1063/1.532797
arxiv_id:
quant-ph/9901019
journal_ref:
J.Math.Phys. 40 (1999) 1237-1245
created:
1999-01-09

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