for few puzzling experimental observations, such as GZK-paradox found in observations of UHECR’s [@bird; @takeda] and multi TeV photons [@aharonian] coming from certain distant astronomical objects, as well as recently obtained astrophysical data originating from the GRB’s [@abdo].

An important questions arising from the noncommutative nature of spacetime at the Planck scale are how does this noncommutativity affect the very basic notions of physics, such as the particle statistics, particularly the spin-statistics relation and how these changes can be implemented into a quantum field theory formalism to accommodate for these new features. For example, it has been known for some time that quantum gravity can admit exotic statistics [@sorkin; @an1; @an2]. That quantum gravity may lead to such a situation was first discussed in [@sorkin] in the context of quantum geons.

In our view, the answer to the above question, or at least some glimpse of it, is given within the framework of quantum groups, i.e. Hopf algebras and can be expressed in terms of its triangular quasibialgebra structure or universal $R$-matrix. To be more precise, given a scalar field $\phi$ and knowing $R$-matrix, the corresponding modified algebra of creation and annihilation operators (which captures the information about statistics) can 