We present a novel generalization of the Heisenberg uncertainty principle which introduces existence maximal observable momentum and at same time does not entail minimal indeterminacy in position. The above result is an exact generalized (GUP), valid all energy scales. For small values deformation parameter $\beta$, our ansatz consistent with usual expression for GUP borrowed from string theory...

Abstract We consider a cosmological scenario endowed with an interaction between the universe’s dark components – matter and energy. Specifically, we assume component to be pressure-less fluid, while energy is quintessence scalar field Lagrangian function modified by quadratic Generalized Uncertainty Principle. The latter modification introduces new higher-order terms of fourth-derivative due q...

Abstract Several models of quantum gravity predict the emergence a minimal length at Planck scale. This is commonly taken into consideration by modifying Heisenberg uncertainty principle generalized principle. In this work, we study implications polynomial on harmonic oscillator. We revisit both analytic and algebraic methods, deriving exact form algebra in terms new position momentum operators...

We study the Horizon Wavefunction (HWF) description of a generalized uncertainty principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M = m ( 1 + β2 M2 Pl m2 ) . Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability PBH that the source is a (quantum) black hole, i.e. that it lies wit...

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using time-dependent Hatree–Fock–Bogoliubov theory. derive useful formulas for depletion, anomalous density, some thermodynamic quantities such as chemical potential, ground-state energy, free superfluid density. It is fo...