Quantum Physics

    

Geometric Description of Heisenberg’s Uncertainty Principle

Authors: R Dasgupta

Analysis of the simultaneous measurement stated in Heisenberg’s uncertainty principle reveals its root in special relativity theory. Hence a natural extension of this principle with general relativity is shown, where a small gravitational correction term needs to be introduced. This gravitational term being small remains negligible in ordinary conditions but becomes significant at small Planck scale. At Planck scale the modified uncertainty relation leads to natural calculation of Planck scale parameters used in quantum gravity theories. A careful consideration of the gravitational term showed its connection with cosmological dark energy and could explain the apparent large discrepancy between cosmological observed value and vacuum energy estimate from quantum field theory.

Comments: 14 Pages.

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[v1] 2020-03-02 18:09:58

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