The invariance of the Schrödinger equation is ensured if:
(56)

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)