New higher-order generalized uncertainty principle: Applications

Abstract

Last year, Chung and Hassanabadi proposed a higher order general uncertainty principle (GUP${}^{\ast }$) that predicts a minimal length as well as possesses a upper bound momentum limit. In this article, we have discussed an ideal gas system and its thermal properties using that deformed canonical algebra introduced by them. Moreover, we examined blackbody radiation spectrum and the cosmological constant in the presence of the GUP${}^{\ast }$. After a comparison with the existing literature, we concluded that the given formalism of Chung and Hassanabadi yields more accurate results.

12 pages, 7 pages

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• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• Effect of Quantum Gravity on Specific Heat of Solid
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength