Quarkonium bound states are especially promising candidates to test the probable quantum structure of space-time since they represent a system with reasonably small characteristic distance.
The quantum mechanical interaction between the quarks is heuristically described by the Cornell
potential. In this contribution, we insert this system in a 3-dimensional rotationally invariant
space which is composed of concentric fuzzy spheres of increasing radius called the fuzzy onion
in order to extract some consequences of the non-trivial structure on its properties.