Abstract
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.



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