According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …

A number of arguments at the interplay of general relativity and quantum theory suggest an
operational limit to spatial resolution, conventionally modeled as a generalized uncertainty …

Motivated by several approaches to quantum gravity, there is a considerable literature on
generalised uncertainty principles particularly through modification of the canonical position …

The Heisenberg uncertainty principle is known to be connected to the entropic uncertainty
principle. This correspondence is obtained employing a Gaussian probability distribution for …

The standard state-dependent Heisenberg-Robertson uncertainty-relation lower bound fails
to capture the quintessential incompatibility of observables as the bound can be zero for …

Generalized uncertainty principles (GUP) and, independently, Lorentz symmetry violations
are two common features in many candidate theories of quantum gravity. Despite that, the …

The Hilbert space of a quantum field theory is infinite-dimensional, for three different
reasons: wavelengths can be arbitrarily large, and they can be arbitrarily small, and at any …

The existence of a fundamental length scale in nature is a common prediction of distinct
quantum gravity models. Discovery of such would profoundly change current knowledge of …

This note aims to elucidate certain aspects of the quasi-position representation frequently
used in the investigation of one-dimensional models based on the generalized uncertainty …

The finite entropy of black holes suggests that local regions of spacetime are described by
finite-dimensional factors of Hilbert space, in contrast with the infinite-dimensional Hilbert …