Relativity and Cosmology

    

Theory of Relativity and Measurement Uncertainty

Authors: R Dasgupta

Relativity of simultaneity is shown to limit the accuracy in simultaneous measurement of position and momentum of a moving body by an inertial observer. The inaccuracy or uncertainty product derived from special relativity theory is found to be similar to the much known quantum mechanical uncertainty relation. However, whether the above two uncertainty relations indicate the same physics is debatable and any conclusion is not attempted here. A modification of this relativistic uncertainty formula under gravitational field is achieved using general relativity principles, and a small gravitational correction term has to be introduced. This gravitational term being small remains negligible in ordinary conditions but becomes appreciable at small time scale.

Comments: 15 Pages.

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[v1] 2020-10-08 08:45:14

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