  Research during the last decade demonstrates that effects originating on the
Planck scale are currently being tested in multiple observational contexts. In
this review we discuss quantum gravity phenomenological models and their
possible links to loop quantum gravity. Particle frameworks, including
kinematic models, broken and deformed Poincar\'e symmetry, non-commutative
geometry, relative locality and generalized uncertainty principle, and field
theory frameworks, including Lorentz violating operators in effective field
theory and non-commutative field theory, are discussed. The arguments relating
loop quantum gravity to models with modified dispersion relations are reviewed,
as well as, arguments supporting the preservation of local Lorentz invariance.
The phenomenology related to loop quantum cosmology is briefly reviewed, with a
focus on possible effects that might be tested in the near future. As the
discussion makes clear, there remains much interesting work to do in
establishing the connection between the fundamental theory of loop quantum
gravity and these specific phenomenological models, in determining
observational consequences of the characteristic aspects of loop quantum
gravity, and in further refining current observations. Open problems related to
these developments are highlighted. characteristic aspects of loop quantum
gravity, and in further refining current observations. Open problems related to
these developments are highlighted.
