The generalized and extended uncertainty principles and their implications on the Jeans mass

Understand

The generalized and extended uncertainty principles affect the Newtonian gravity and also the geometry of the thermodynamic phase space.

• Under the influence of the latter, the energy-temperature relation of ideal gas may change.
• Moreover, it seems that the Newtonian gravity is modified in the framework of the R\'{e}nyi entropy formalism motivated by both the long-range nature of gravity, and the extended uncertainty principle.
• Here, the consequences of employing the generalized and extended uncertainty principles, instead of the Heisenberg uncertainty principle, on the Jeans mass are studied.