In X-ray astronomy, quasi periodic oscillations (QPOs) are routinely shown by black hole and neutron star X-ray binary systems in their X-ray flux. Despite being strong and easily measurable signals, their physical origin is yet unknown. Several models has been proposed, in particular for the low frequency (LF) QPOs, ranging from well-developed theories that have been confronted with data to ideas briefly described in a few papers.
Most of the models that are confronted with the available data try to explain the phenomena using their model. But ultimately the astrophysics community should choose a particular model as the correct description for the origin of the QPOs. In this scenario, what needs to be the criteria that would decide which model is the correct model?
N.B.: I am not asking for a discussion on QPOs, rather I am interested in the methodology that is used to choose the correct model for QPOs.