Mechanics Of The Quantum [MQ] searches for mechanical microprocesses of individual and collective behaviour of quanta (as building blocks of fields, mass, energy, light…) to reveal causality behind the laws of physics. The discrete MQ-model shows a 5th property. Our reference frame from our level of scale does not allow us to interact mechanically with the smaller or smallest scales. But that doesn’t mean that things at those scales do not behave in ways similar to classical mechanical processes. Involving e.g. forces acting upon whatever entities, or the principle of action-reaction, or the principle of the path of least resistance, etc. In this paper we demonstrate, in an exact mathematical and geometrical way, how the MQ-model holds a 5th property in the realm of unifying GR with QM : The energy level ratios of hydrogen excited states, can directly be counted in the discrete MQ-model by litterally counting the compressed quanta. This requires no modifications of the original gravitational setup, and no extra parameters from the start. A setup which already revealed 4 properties of gravity and cosmological dynamics.