On Friday, February 3, 2017 at 5:24:13 PM UTC-5, lawrence...@jef   
   ersonchristianacademy.org wrote:   
   > On Sunday, January 8, 2017 at 4:14:09 PM UTC-6, toadast...@gmail.com wrote:   
   > > 170108   
   > >   
   > > If I were in a black hole the size of the observable   
   > > universe and it was not expanding but evaporating,   
   > > would my acceleration towards a singularity be easily   
   > > distinguishable from my being in an expanding space   
   > > filled homogeneously and isotropically with all this   
   > > stuff we see?   
   > >   
   > > If there were a "firewall" at the inner horizon, would   
   > > it look like the CMB?   
   > >   
   > > Thanks,   
   > > mark jonathan horn   
   >   
   > If we were in a black hole with mass M ~ 10^{53}kg of mass   
   > the horizon would be around where the cosmological horizon   
   > is. We might locally find conditions not too different from   
   > what we now see. However, black holes have a Weyl curvature   
   > tensor components. These are ~ GM/c^2r^3 and positive along the   
   > radial direction and negative along distances perpendicular   
   > to the radius. This means there would be one direction where   
   > galaxies are red shifted and a planar set of directions   
   > where galaxies are blue shifted. The large scale structure   
   > of the universe would be very different.   
   >   
   > LC   
      
   170205   
      
   Yes; thank you.  If I match the distance r_c, to the empirical   
   distance between an (earthling) observer and the horizon   
   "surrounding" the past singularity, I find   
      
   r_c = 13.7 billion light years,   
      
   If I then match this result to the predicted gravitational   
   radius, according to the simplest form, r_c = r_g = 2GM/c^2,   
   then I find for the mass term   
      
   M = 8.73e52 kg = 4.74e22 solar masses.   
      
   On the face of it, I conclude that r_c = r_g in the past.   
   In this simple model, the universe must be a black hole and   
   this implies the presence of a singularity in the future.   
      
   If the actual mass is far greater than 4e22 solar masses,   
   than there's a paradox in the inequality, r_c > r_g.  The   
   idea that the actual mass is significantly smaller than   
   1e53 kg, i.e. r_c << r_g, can probably be ruled out on   
   observational grounds.   
      
   In light of the presently unassailable validity of the   
   value input for r_c, and the acceptable meaning of the   
   form for r_g, the conclusion drawn by the solution   
   r_c = r_g, appears inescapable, as it were.   
      
   If I abandon this logic because of lack of past evidence   
   for the existence of a future singularity, despite the   
   past evidence for the existence of a past singularity,   
   I'm immediately beset by paradox and asymmetry.   
      
   The pathology of past causal geodesic incompleteness   
   cannot, in my humble opinion, be made any worse with   
   the inclusion of future causal geodesic incompleteness.   
      
   If the Weyl Curvature inside, or extrinsic curvature of   
   the past horizon blow up because the radius of the   
   universe as t->0 goes r_o -> 0, then it is not pathological   
   with respect to the cosmological principle into the future   
   as time goes t->inf and r_o -> MAX -> 0.   
      
   By the same token, the SLOW, progressive divergence of the   
   geometry of the universe through evaporation, should not be   
   expected to be a pathology of isotropy and homogeneity into   
   the future, until evidence of evaporation (news of the future)   
   begins creeping into data acquired from the past.   
      
   There is then a symmetry in the coincidence of future and   
   past, if the singularity of evaporation is the formation of a new   
   horizon with a rest energy of order 10e19 GeV.   
      
   "Something" becomes the necessary and sufficient condition for   
   negating "Nothing," and cosmic abhorrence of the classical   
   vacuum is respected, as perhaps it should be.   
      
   Cheers,   
   mj horn   
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