The Density Parmeter Ωo
A perfect Balance....
Assuming the WMAP Density Parameter is exactly 1.02 (ignoring for the moment the +/- error range) and making the assumptions outlined on the Curvature Probability page ( that the ratio between the diameter of our observable universe and the arc length that subtends it is equal to Ωo) yields a universe with an overall radius of 133 bly. Using the the ratios of ordinary matter to dark matter to dark energy determined by WMAP and assuming that all the dark energy is tied up in a black hole at the south pole of our universe yields a black pole with a mass of 2.4 X10 E 54 kg. But how far out from the black pole would its event horizon or Schwarzchild Radius (Rs) be? It turns out the radius of the black pole's event horizon would be about 370 bly, the same distance from the black pole to the edge of the observable universe in this model.
Assuming the WMAP Density Parameter is exactly 1.02 (ignoring for the moment the +/- error range) and making the assumptions outlined on the Curvature Probability page ( that the ratio between the diameter of our observable universe and the arc length that subtends it is equal to Ωo) yields a universe with an overall radius of 133 bly. Using the the ratios of ordinary matter to dark matter to dark energy determined by WMAP and assuming that all the dark energy is tied up in a black hole at the south pole of our universe yields a black pole with a mass of 2.4 X10 E 54 kg. But how far out from the black pole would its event horizon or Schwarzchild Radius (Rs) be? It turns out the radius of the black pole's event horizon would be about 370 bly, the same distance from the black pole to the edge of the observable universe in this model.
And Then there was Planck....
The density parameter value determined by WMAP has been published as Ωo = 1.02 +/- .02. So what value of Ωo does this 'Eye Ball' model predict by using the more precise ratios between ordinary matter dark matter and dark energy established by Planck.
WMAP Planck
Ordinary Matter 4.5% 4.9%
Dark Matter 22.7% 26.9%
Dark Energy 72.8% 68.3%
Using the curved model and the Planck ratios yields a density parameter of Ωo = 1.027 +/- .01. This assumes our observable universe and space beyond the black poles event horizon are approximately the same. However, it is probably safe to assume that our observable universe is somewhat smaller than that area. This would mean the value for Ωo would likely be less than 1.027 but would have to be greater than 1 for the model to be correct.
The density parameter value determined by WMAP has been published as Ωo = 1.02 +/- .02. So what value of Ωo does this 'Eye Ball' model predict by using the more precise ratios between ordinary matter dark matter and dark energy established by Planck.
WMAP Planck
Ordinary Matter 4.5% 4.9%
Dark Matter 22.7% 26.9%
Dark Energy 72.8% 68.3%
Using the curved model and the Planck ratios yields a density parameter of Ωo = 1.027 +/- .01. This assumes our observable universe and space beyond the black poles event horizon are approximately the same. However, it is probably safe to assume that our observable universe is somewhat smaller than that area. This would mean the value for Ωo would likely be less than 1.027 but would have to be greater than 1 for the model to be correct.
