The Snyder model is an example of noncommutative spacetime admitting a fundamental
length scale β and invariant under Lorentz transformations, that can be interpreted as a …

Abstract The Snyder–de Sitter (SdS) model is a generalization of the Snyder model to a
spacetime background of constant curvature. It is an example of noncommutative spacetime …

Long time ago, Yang [Phys. Rev. 72, 874 (1947)] proposed a model of noncommutative
spacetime that generalized the Snyder model to a curved background. In this paper, we …

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

We study the ϕ⋆ 4 model for a scalar field in a linearization of the Snyder model, using the
methods of the worldline formalism. Our main result is a master equation for the 1-loop n …

We examine basis functions on momentum space for the three-dimensional Euclidean
Snyder algebra. We argue that the momentum space is isomorphic to the SO (3) group …

We examine Hamiltonian formalism on Euclidean Snyder space. The latter corresponds to a
lattice in the quantum theory. For any given dynamical system, it may not be possible to …

We calculate the orbits of a particle in Schwarzschild spacetime, assuming that the dynamics
is governed by a Snyder symplectic structure. With this assumption, the perihelion shift of the …

We study the effects of relative locality dynamics in the case of the Snyder model. Several
properties of this model differ from those of the widely studied models: for example, in the …

We investigate a quantum mechanical harmonic oscillator based on the extended Snyder
model. This realization of the Snyder model is constructed as a quantum phase space …