Russell,

Yes, that's correct. I'm just saying my theory predicts Omega MUST be >1 
and the universe a positively curved hypersphere.

1. Because that's the only cosmological geometry consistent with p-time.
2. Because an Omega <1 results in a universe either infinite or with edges, 
neither of which is physically possible in my judgement for reasons I've 
stated previously here.

Edgar

On Saturday, February 8, 2014 12:26:45 AM UTC-5, Russell Standish wrote:
>
> On Fri, Feb 07, 2014 at 04:55:26PM -0800, Edgar L. Owen wrote: 
> > Russell, 
> > 
> > Some good questions! 
> > 
> > Yes, the theory predicts a very small positive curvature of space. The 
> > universe is a closed finite hypersphere with no edges and not infinite. 
> > 
> > A lot of people claim that data suggests the universe is flat, but the 
> data 
> > does not actually suggest that. What the data suggests is only that the 
> > universe is very LARGE, i.e. that the curvature, if any, is very slight. 
> > Also note that for the universe to actually be flat Omega must be 
> EXACTLY=1 
> > to enormous precision. While if it varies from 1 in only the umpteenth 
> > digit it is not actually flat, just very large. The statistical 
> likelihood 
> > of a number near to 1 being exactly 1 rather than the near infinite 
> other 
> > values it could have is incredibly low. So there is no real indication 
> that 
> > the universe is actually flat, only that whatever curvature it has is 
> > slight. Another good example of how otherwise intelligent scientists 
> often 
> > misinterpret their own data! 
>
> Sure, the issue is not whether it is flat, as surely Omega must differ 
> slightly from 1, but whether Omega is greater than 1, or less than 1. 
>
> If Omega were less than 1, space has a negative curvature, and the 
> universe is open (never contracts into a big crunch). 
>
> The empirical data I was alluding to was the observation that the 
> universe's expansion accelerated, starting about a billion years 
> ago. I thought this indicated a negative curvature case, although 
> still close to flat. Maybe I'm getting my wires crossed here. 
>
> A quick Google search indicates they're still arguing over what the 
> WMAP data means, though: 
>
>
> http://news.nationalgeographic.com/news/2003/10/1008_031008_finiteuniverse.html
>  
>
> vs 
>
>
> http://www.nbcnews.com/science/space/weird-findings-suggest-we-live-saddle-shaped-universe-f8C11133381
>  
>
>
>
> > 
> > My theory does NOT assume an embedding dimension. The 4-dimensional 
> > hypersphere is the whole shebang.... 
> > 
>
> Actually, you're right. The radius of a 4D hypersphere does not depend 
> on the embedding dimension - just as the radius of a circle does not 
> depend on embedding dimension. Sorry. 
>
> > Since my universe is hyperspherical with p-time the radial dimension, 
> the 
> > passage of p-time is what 'inflates' the cosmic balloon, whose surface 
> is 
> > the current universe, and thus what produces the current value of the 
> > curvature of space and causes the Hubble expansion. 
> > 
>
> How close does space have to be to a hypersphere in order for your theory 
> to work? General relativity demands local departure from flatness (and 
> sphericity for that matter) to account for gravitational 
> phenomena. This may be related to Brent's comments... 
>
> Cheers 
> -- 
>
> ---------------------------------------------------------------------------- 
>
> Prof Russell Standish                  Phone 0425 253119 (mobile) 
> Principal, High Performance Coders 
> Visiting Professor of Mathematics      [email protected]<javascript:> 
> University of New South Wales          http://www.hpcoders.com.au 
> ---------------------------------------------------------------------------- 
>
>

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