The Boltzmann equation is invariant if :
(57)
The Poisson equation for gravitation arises no peculiar problem and just becomes
(58)
From the Maxwell equations we get :
(59)
(60)
which is consistent to the definition of an electric field due to an electric charge.
From the Einstein equation, as pointed out earlier, we get :
(61)
If not, the equation is no longer divergenceless.
If the quantities :
(62)
obey these relations, it will not be possible to evidence their variations in any in lab's experiments..
So what ?
From (57) we get immediatly :
(63)
which is nothing but the characteristic Schwarzschild length, so that :
(64)
Examine now the Jeans' length :
(65)
where :
(66)
(66b))
(66t)
(67)
Combine the equations (56) and (57), we get :
67b)
(68)
The Compton Length varies like R :
(69)
The Planck length is :
(70)
(70b)
The Planck time is :
(71)
The Jeans time is :
(72)
Combining (61) and (63) we get :
(73)
The variation of the constants does not conserve the mass.
If we conserve the number of species, the mass density r is found to obey :
(74)
...Same law for the contribution rr of the radiation to the density r . The conservation of the radiative energy gives :
(75)
Then :
(76)
