Edit: The paper is total nonsense. Sorry for wasting people’s time.
The math here is beyond me, but this statement from the paper seems contradictory:
The obtained equation is covariant in space–time and invariant with respect to any Planck scale. Therefore, the constants of the universe can be reduced to only two quantities: Planck length and Planck time.
Planck time is derived from the speed of light and the gravitational constant. So wouldn’t there be at least four universal constants?
What they are doing is just nonsense. You can use the four normal constants: gravitational, speed of light, plancks constant, boltzman constant, or the Planck ones, also four (time, mass, length, temperature). What they do is just rewrite the G, c and h-bar, the only ones that appear here, in their equations and it turns out just only two appear in the equations. Which two? Planck length and “energy”, where planck energy is a combination of time and mass… so it is still three! All this nonsense to try to say something of no particular interest: if you look at a very small subset of expressions you can probably redefine some constants conviniently to get rid of others.
If a constant is defined by another constant, without a variable between, wouldn’t it be fair to simplify that into a single constant? Additionally, based solely on the article, it almost sounds like they’re inverting that, saying that Planck time and Planck length determine the speed of light and gravitational constant(?).