The cosmological particle horizon is the maximum measurable length in the Universe. The existence of such a maximum observable length scale implies a modification of the quantum uncertainty principle. Thus due to non-locality of quantum mechanics, the global properties of the Universe could produce a signature on the behaviour of local quantum systems. A Generalized Uncertainty Principle (GUP) ...

Black holes play an important role in linking microphysics with macrophysics, those of the Planck mass ($M_P \sim10^{-5}$g) featuring any theory quantum gravity. In particular, Compton-Schwarzschild correspondence posits a smooth transition between Compton wavelength ($R_C \propto 1/M$) below and Schwarzschild radius ($R_{\rm S} M$) above it. The duality $R_{\rm C}$ S}$ implies form Generalized...

Abstract This paper investigated the Bose system in a spherical shell close to black hole horizon. Several thermodynamic quantities of are derived, which different from those flat spacetime, by introducing generalized uncertainty principle (GUP) into grand partition function statistical mechanics. The internal energy and pressure appear have correction term T 6 , while entropy has 5 where both ...