From: goldenfieldquaternions@gmail.com   
      
   On Tuesday, March 20, 2018 at 6:09:40 AM UTC-6, lydiamarie...@gmail.com wro=   
   te:   
   > [[Mod. note -- Please limit your text to fit within 80 columns,   
   > preferably around 70, so that readers don't have to scroll horizontally   
   > to read each line.  I have manually reformatted this article.  -- jt]]   
   >=20   
   > This is a note I'd like to convey here regarding a matter that I   
   > (and a few of my friends) have been giving thought to recently.   
      
   etc, deleted so people do have to scroll down. There are a lot of   
   points here. I can make a few answers and raise some questions.   
      
   I will get the question out of the way. Why is this presuming the   
   universe is a non-Riemannian manifold or geometry? General relativity   
   is physics based on Riemannian differential geometry.   
      
   The CMB occurred relatively late in the evolution of the universe,   
   here late being compared to inflationary cosmology etc. Matter has   
   a density that is simply determined by matter in a volume and if   
   the volume increases the density decreases as 1/length^3. Radiation   
   however has energy that depends on wavelength, and so if space is   
   expanding radiation decreases in density by 1/length^4. The universe   
   prior to 380,000 years ago had a higher radiation density than   
   matter. This then flipped around so the opaque plasma collapsed   
   into hydrogen atom and photons could move free. This surface of   
   last scatter is the CMB, but now redshifted by z = 1100!   
      
   Geodesics were continuous beyond then, and where questions come in   
   are with inflationary cosmology in the first 10^{-35}sec of the   
   universe and lasting 10^{-30} seconds. How this physics works is   
   not settled as yet. I think the inflationary manifold is in fact   
   the anti-de Sitter spacetime, and our cosmology is on a holographic   
   screen of some causal wedge in there. How this works out is difficult   
   to say.   
      
   It is the case that SO(3,1) for gravitation has 6 generators. The   
   AdS_5 spacetime is conformal gravitation as the set of isomorphisms   
   modulo a Lorentz group, AdS_5 = SO(4,2)/SO(4,1). Since SO(4,2) ~   
   SU(2,2) this also connects up with twistor space.   
      
   Final comment is on imaginary time. For the Schrodinger equation   
      
   i&Y/&t = (H-V)Y   
      
   where & = partial and Y = wave function. solutions often are   
   of the form   
      
   exp(i sqrt(E-V)*t}.   
      
   But what happens when V > E, then this picks up another i = sqrt{-1}   
   and the solution is different. For these instanton solutions in   
   minisuperspace it was Hawking's observation that we could just think   
   of time t --> it here. Hence the term imagninary time came about,   
   which is just a way of talking about gravitational instantons.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)