We model the universe on the interaction of two
cosmic particles based on the Cosmological General Relativity (CGR) of Carmeli and obtain a theoretical value for the Hubble constant
h at zero distance and no gravity. CGR is a 5-dimensional theory of time
t, space
x,
y,
z and velocity
v. A minimum cosmic acceleration a
0=dv/dt=c/
τ results from a linearized version of CGR, where
c is the vacuum speed of light and
τ is the Hubble-Carmeli time constant. The force due to the Carmeli acceleration
a0 counteracts the Newtonian gravitational force between the two particles. Each particle is unstable and disintegrates into baryons, leptons and radiation. By the uniform expansion of the black body radiation field, we obtain the expression
, where
A is a constant,
T0 is the temperature of the cosmic microwave background black body, Ω
bphys is the physical baryon density parameter and pc ≈3.086×10
18cm·pc
-1. Using standard values for
T0 and Ω
bphys we obtain a value τ=(4.15121±0.00206) ×10
17s,
which gives a value for the Hubble constant at zero distance and no gravity of
h=1/τ=(74.33982±0.03694)km·s
-1·Mpc
-1. From the value for
τ, we get the age of the universe of (13.15467 ± 0.00653) × 10
9 years.