Hi Sergey Karavashkin ,  You ask ,
" And tell me ,  how can we join the physical categories
    ' laws of physics '  and  ' speed of light ' ? " ,

I agree ,  it's quite easy to postulate that 
  the observed laws of physics
  are the same at any scale ...
  it's not so easy to derive the equations
  that would relate those scales .

You mention a complaint that I often express myself ,
" Supporters of QM ,  QED ,  QFT exaggerate 
    and often pervert the affection of statistics 
    onto the physical processes . " ,

Yes ,  This annoys me to no end .

But then you add ,
" But if  [ you are speaking of the ]  
    constant speed of light in 
    all  [ local ]  inertial frames , 
    this is not so ,  and Einstein's postulates 
    already have factually died 
    with publication of conservation theorems 
    for dynamic fields which we have proven " ,

At least at some given scale of heat ,  and space-time ,
  the speed of light is constant for inertial and free fall
  frames of reference ...  provided that they are local .
  Relating distant frames with the local ones
  is were all the complex math comes in .

But at it's core ,  heat is apparent randomness ,
  thanks to one's incomplete information .

And this artificial randomness is the key to 
  relating various hypothetical scales
  were the laws of physics remain invariant .