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Exploring the Implications of the Deformation Parameter and Minimal Length in the Generalized Uncertainty Principle
Department of Physics, Faculty of Science and Arts in Al-Miznab, Qassim University, Al Miznab, Saudi Arabia
Department of Physics, Faculty of Science and Arts in Al-Miznab, Qassim University, Al Miznab, Saudi Arabia
- 1 Department of Physics, Faculty of Science and Arts in Al-Miznab, Qassim University, Al Miznab, Saudi Arabia
- 2 Department of Physics, Faculty of Science and Arts in Al-Miznab, Qassim University, Al Miznab, Saudi Arabia
Journal of Quantum Information Science·Volume 14 (2024)·Pages 1–14·Published 19 March 2024·DOI10.4236/jqis.2024.141001
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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.
KeywordsGeneralized Uncertainty PrincipleDeformed Heisenberg AlgebraMinimal Length
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