We have recently 1–3 shown a possible method to unify gravity and quantum mechanics in a simple way that we have called collision spacetime. Here, we demonstrate a special version of our theory when we set lp = 1 and c= 1. Mass, energy, what we call Compton momentum, and half the Schwarzschild radius are then all identical, and simply a collision-length that again also has a collision frequency embedded in it that gives quantization of gravity, matter, and energy. As we explain, a frequency below one can be interpreted as a frequency quantum probability. One could easily make the mistake of thinking that this is simply setting G= ℏ= c = 1 (Planck natural unit system); however, this would be inaccurate as we do not need either Gor ℏ in our system, not even when setting these constants equal to one. Furthermore, we can find the Planck length totally independently of Gand ℏ, for any standardized 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 we argue that the Planck length is the diameter of an indivisible particle.
Espen Gaarder Haug (Tue,) studied this question.