XPost: sci.astro.research   
   From: tjroberts137@sbcglobal.net   
      
   On 6/1/17 6/1/17 3:36 PM, Phillip Helbig (undress to reply) wrote:   
   > In article ,   
   > Gerry Quinn writes:   
   > [...]   
   > Someone has made an error somewhere.   
      
   Yea. I believe it is in your entire approach: I don't think that   
   entropy is an absolute quantity as you implicitly assume.   
      
   It does make sense to compare entropy between states of a given   
   universe, but not between states of different universes. After all,   
   entropy is an extensive quantity, and in considering different   
   universes you cannot possibly ensure they have the same values of   
   all other extensive quantities.   
      
   In "changing the value of G" you really have a different universe   
   for each value. You cannot change the laws of physics in a universe,   
   you must consider an ensemble of universes.   
      
   For instance, consider two universes, one with G=0 and one with   
   G>0. Give them the exact same initial conditions, in that the initial   
   geometries are the same, as are all field distributions and   
   derivatives. Since the Lagrangians are different, the evolutions   
   of the fields and geometries will be different, the total energies   
   will be different, etc. -- such extensive [#] differences surely   
   invalidate any comparison of their entropies.   
      
    This presumes it is possible to give them the same initial   
    conditions. It is not obvious that this is so.... Certainly GR   
    has strong constraints that the initial conditions must meet;   
    different values of G could yield different constraints.   
      
    [#] This is a pun: "extensive" as in type of property, and   
    "extensive" as in vast or widespread.   
      
   Tom Roberts   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   
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