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Mu, B.R., Wu, H.W. and Yang, H.T. (2009) The Generalized Uncertainty Principle in the Presence of Extra Dimensions. arXiv: 0909.3635v2.

has been cited by the following article:

• TITLE: Exploring the Implications of the Deformation Parameter and Minimal Length in the Generalized Uncertainty Principle

  AUTHORS: Mahgoub A. Salih, Taysir M. Elmahdi

  KEYWORDS: Generalized Uncertainty Principle, Deformed Heisenberg Algebra, Minimal Length

  JOURNAL NAME: Journal of Quantum Information Science, Vol.14 No.1, March 20, 2024

  ABSTRACT: The breakdown of the Heisenberg Uncertainty Principle occurs when energies approach the Planck scale, and the corresponding Schwarzschild radius becomes similar to the Compton wavelength. Both of these quantities are approximately equal to the Planck length. In this context, we have introduced a model that utilizes a combination of Schwarzschild’s radius and Compton length to quantify the gravitational length of an object. This model has provided a novel perspective in generalizing the uncertainty principle. Furthermore, it has elucidated the significance of the deforming linear parameter β and its range of variation from unity to its maximum value.