Study on Uncertainty Relations as a Consequence of the Lorentz Transformations

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Study on Uncertainty Relations as a Consequence of the Lorentz Transformations

September 11, 2021 Science and Technology 0

The study of a macroscopic object with synchronised clocks. For the case of one-dimensional motion (along the X axis), general physical relations are directly derived from Lorentz transformations – the uncertainty relation of the object’s x coordinate and the projection of its impulse along the X axis, px, and the uncertainty relation of the object’s observation time, t, and its energy, E. The relationships are written as (Delta)px(Delta)x (ge) H and (Delta)E(Delta)t (ge) H. The H value in the relationship has action dimensions and is determined by the rod’s clock precision and mass. It is demonstrated that if the macroscopic object accomplishes the function in and of itself, The relations derived in the limiting situation take the form of (Delta)px(Delta)x (ge) h and (Delta)E(Delta)t (ge) h for an ideal physical clock, where h is the Planck constant.

Author (S) Details

V. N. Matveev
Elektrografia UAB (Ltd); Zukauko g. 49, LT-09131, Vilnius, Lithuania.

V. Matvejev
Elektrografia UAB (Ltd); Zukauko g. 49, LT-09131, Vilnius, Lithuania.

View Book :- https://stm.bookpi.org/NVST-V1/article/view/3207

 

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