We have recently [1, 2] shown a possible method to unify gravity and quantum mechanics in a simple way that we have called collision space-time. Here, we demonstrate a special version of our theory when we set lp = 1 and c = 1. Mass, energy, Compton momentum, and the Schwarzschild radius are then all identical, and simply a collision frequency. A frequency below one is not observable and can be interpreted as a frequency quantum probability. One could easily make the mistake that this is simply setting G =hbar = c = 1 (Planck natural unit system); however this would possibly be inaccurate as we do not need either G or �� in our system even when not setting them to one. Furthermore, we can find the Planck length totally independent of G and ��, for any standardised length unit chosen. Setting c = 1 simply means one links space and time through the speed of light, and setting lp = 1 means one selects the Planck length as the fundamental length unit, and the Planck length we have argued for is the diameter of an indivisible particle. One of the beauties of our theory is that, in the output of many formulas we obtain from our theory, the integer part represents real observations (collisions) and fractions represent quantum probabilities. Therefore, we could say there is also almost a unification between numbers and physics, not only a unification of gravity and quantum mechanics.