The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the so-called Generalized Uncertainty Principle (GUP) of the second order. In the frame work of the considered GUP scenario, a unique partition function is obtained by using of two different methods of quantum and classical approaches. It should be noti...

In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs modified operators with same commutator, $[\hat{X},\hat{P}] = i \hbar (1+\beta p^2)$, may have physical consequences such as having no minimal length at all. These differences depend on how position and/or momentum are rather than...

The usual generalized uncertainty principle will lead to a divergent mass limit of white dwarf, and this divergence should be prevented for both scenarios including positive negative parameters principle. Although it has been shown that parameter can directly restore the limit, underlying reason is not given explain why sign appears under condition dwarf. In order solve problem, we derive field...