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 …

Noncommutativity in physics has a long history, tracing back to classical mechanics. In
recent years, many new developments in theoretical physics, and in practical applications …

In this work, we point out an overlooked and subtle feature of the generalized uncertainty
principle (GUP) approach to quantizing gravity: namely that different pairs of modified …

Minimal and maximal uncertainties of position measurements are widely considered
possible hallmarks of low-energy quantum as well as classical gravity. While General …

Generic arguments lead to the idea that quantum gravity has a minimal length scale. A
possible observational signal of such a minimal length scale is that photons should exhibit …

In this short note we show how the Generalised Uncertainty Principle (GUP) and the
Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty …

Structural symmetry, anti-symmetry, or asymmetry represent a foundational property that, for
chemical compounds, often determines their chemical and biological activity. Symmetric …

We prove the existence of an analogy between spatial long-range interactions, which are of
the convolution-type introduced in non-relativistic quantum mechanics, and the generalized …

We outline a new model in which generalised uncertainty relations are obtained without
modified commutation relations. While existing models introduce modified phase space …

Based on the correspondence between operator commutative relations and Poisson
brackets, we develop a framework of deformed Hamilton, Lagrange and Euler equations as …