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Relativistic Generalized Uncertainty Principle

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arxiv 1810.11761 v1 pith:4F22S3S4 submitted 2018-10-28 gr-qc hep-th

Vasil Todorinov , Pasquale Bosso , Saurya Das This is my paper · ORCID
classification gr-qchep-th
keywords principlerelativisticgeneralizeduncertaintylengthminimummodifiedquantum
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The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for testing the modified Heisenberg principle at high energies.In this paper, we formulate a relativistic Generalized Uncertainty Principle. We then use this to write the modified Klein-Gordon, Schr\"odinger and Dirac equations, and compute quantum gravity corrections to the relativistic hydrogen atom, particle in a box, and the linear harmonic oscillator.

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  1. Generalized Uncertainty Principle as a Mechanism for CP Violation

    hep-ph 2025-07 reject novelty 5.0 of 10

    GUP corrections would make the QED theta term dynamical and induce an electron EDM, yielding a Lambda_GUP of at least 40 TeV if the theta angle is order one.

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