Hello,
Note for moderators : I am a little surprised to haven't a return. Is it possible to start the 30 days deadline on the first feedback date, please?
To try to support the approach of using classical mechanics with general relativity and quantum physics, I complete with this :
For acceleration noted

, the dimension analysis tells us that it is of dimension
L/T^-2
In classical mechanics, the gravitational acceleration is

and has the same dimension than

.
Always with

for Planck, we can construct an acceleration of Planck :
Now if we multiply

by the
surface density of Planck (dimension =
M/L^2, 1 unit of mass per 1 unit of surface) we have naturally :

, i.e. exactly volume density of energy of the quantum vacuum
In cosmology, I haven't found an equivalent to

but we can but we can calculate

with :

instead of

and

instead of
Now it suffices to remember that, in order to have a volume density of energy, it is necessary to multiply an acceleration by the surface density,
i.e. to multiply by 1 unit of mass and to divide by 1 unit of area, and we have:

i.e. volume density of energy of the vacuum of the cosmological constant with a difference of 1.1%