New higher-order generalized uncertainty principle: Applications

TL;DR

This paper explores the implications of a higher-order generalized uncertainty principle on physical systems, including ideal gases, blackbody radiation, and cosmology, demonstrating improved accuracy over previous models.

Contribution

It applies a recently proposed higher-order GUP to various physical phenomena, showing enhanced predictive accuracy compared to earlier approaches.

Findings

More accurate predictions of minimal length and upper bound momentum effects.

Modified blackbody radiation spectrum consistent with GUP$^ ext{*}$.

Implications for cosmological constant calculations.

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.