Generalized Uncertainty Principle with Maximal Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications

Abstract

This paper is a continuation of the earlier works written by the author and devoted to studies of the applicability boundary of a quantum field theory (QFT). Based on the results from black hole thermodynamics at all energy scales, this work demonstrates that, provided the Generalized Uncertainty Principle with maximal momentum at Planck scale and without a minimal length for the well-known quantum field theory, there exists a natural ultraviolet applicable boundary(cut-off) distant from the Planck scales. Some important cosmological implications from the obtained results are considered. Specifically, the number of e-folds in the inflation pattern is estimated considering the quantum-gravity corrections. Besides, particular cosmological parameters are evaluated in this case in the explicit form.