On Majorization Uncertainty Relations in the Presence of a Minimal Length
Physics, 2022 The emergence of a minimal length at the Planck scale is consistent with modern developments in quantum gravity. This is taken into account by transforming the Heisenberg uncertainty principle into the generalized uncertainty principle.
Alexey E. Rastegin
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Generalized uncertainty principle: Approaches and applications [PDF]
International Journal of Modern Physics D, 2014 In this paper, we review some highlights from the String theory, the black hole physics and the doubly special relativity and some thought experiments which were suggested to probe the shortest distances and/or maximum momentum at the Planck scale.
Tawfik, A., Diab, A.
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Thermodynamics of Horndeski Black Holes with Generalized Uncertainty Principle [PDF]
Iranian Journal of Astronomy and Astrophysics, 2023 Horndeski theory is the most general scalar-tensor extension of General Relativity with second order field equations. It may be interesting to study the effects of the Generalized Uncertainty Principle on a static and asymptotically flat shift symmetric ...
Mohaddeseh Seifi, Akram S. Sefiedgar
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Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model
European Physical Journal C: Particles and Fields, 2021 Several models of quantum gravity predict the emergence of a minimal length at Planck scale. This is commonly taken into consideration by modifying the Heisenberg uncertainty principle into the generalized uncertainty principle.
Pasquale Bosso, Giuseppe Gaetano Luciano
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The effect of GUP on thermodynamic phase transition of Rutz-Schwarzschild black hole
Nuclear Physics B, 2021 In this paper, considering the influence of generalized uncertainty principle, we explore phase transitions of the Rutz-Schwarzschild black hole based on the Parikh-Wilczek tunneling method.
Zi-Yu Fu, Hui-Ling Li
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Hawking temperature for 4D-Einstein-Gauss-Bonnet black holes from uncertainty principle
Nuclear Physics B, 2022 Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP). Although GUP considers gravitational uncertainty at the
Sara Azizi +3 more
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Primordial big bang nucleosynthesis and generalized uncertainty principle
European Physical Journal C: Particles and Fields, 2021 The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale.
Giuseppe Gaetano Luciano
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Minimal lengths in 3D via the generalized uncertainty principle
Physics Letters B, 2023 We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that remains coordinate-independent and retains as much of the standard position-
Michael Bishop +4 more
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The Uncertainty Principle and the Minimal Space–Time Length Element
Physics, 2022 Quantum gravity theories rely on a minimal measurable length for their formulations, which clashes with the classical formulation of the uncertainty principle and with Lorentz invariance from general relativity.
David Escors, Grazyna Kochan
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Generalized uncertainty principle and stochastic gravitational wave background spectrum
Physics Letters B, 2021 This paper concerned with the effect of generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal that produced during first order cosmological QCD phase transition in early universe.
Mohamed Moussa +2 more
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