We review the question of whether the fundamental laws of nature limit our ability to probe
arbitrarily short distances. First, we examine what insights can be gained from thought …

In this review article we discuss some of the applications of noncommutative geometry in
physics that are of recent interest, such as noncommutative many-body systems …

I report, emphasizing some key open issues and some aspects that are particularly relevant
for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR”) …

A common feature of all quantum gravity (QG) phenomenology approaches is to consider a
modification of the mass-shell condition of the relativistic particle to take into account …

It has been proposed that the incorporation of an observer independent minimal length
scale into the quantum field theories of the standard model effectively describes …

In this paper we have studied the nature of kinematical and dynamical laws in κ-Minkowski
spacetime from a new perspective: the canonical phase space approach. We discuss a …

We have developed a unified scheme for studying noncommutative algebras based on
generalized uncertainty principle (GUP) and Snyder form in a relativistically covariant point …

We describe the deformed Poincaré-conformal symmetries implying the covariance of the
noncommutative space obeying Snyder's algebra. Relativistic particle models invariant …

In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point
particle that satisfies the exact doubly special relativity (DSR) dispersion relation in the …

In this paper, we formulate the statistical mechanics in Snyder space that supports the
existence of a minimal length scale. We obtain the corresponding invariant Liouville volume …