[net.astro] hyperbolic space makes for solution to Olber's paradox too

ethan@utastro.UUCP (Ethan Vishniac) (03/06/86)

First, let me just point out that fractal models of clustering have
the following problems:
    1) Deep counts of galaxy numbers, usually done in a number of
       small areas scattered across the sky, show only small variations.
       [One has to be careful about this.  Different observers use
       slightly different techniques so a given data sample should include
       only the work of one group at a time.]  In one sample I happen to
       have on hand (Tyson, Jarvis, Valdes or some permutation of those
       names) the total counts vary by less than 10% on the average.
       Moreover, some fraction of this variation (or all of it) may be
       due to absorption by gas clouds in our galaxy.  Presumably this
       could be checked by using IRAS data.

    2) No *dynamical* model of such a universe has ever been constructed.
       That is, one that includes the general expansion and includes
       reasonable evolution of the clustering.
 
    3) The microwave background is isotropic to at least a few parts in
       10^5.  If its origin is cosmological, the most likely interpretation,
       then the limits this sets on gravitational fluctuations in the
       universe is quite severe on very large scales.

    4) Lastly, the theory of cosmological nucleosynthesis gives results
       which are nicely consistent with a nearly homogeneous big bang model.
       It is not apparent how this could be preserved in a model with
       fractal clustering.

It is certainly true that the fractal model takes care of the night
sky.
> 
> not yet seen a cutoff in clustering, in fact just recently a void that
> is something like a billion lightyears long has been discovered, and
> for all we know the larger scale we examine the larger voids we'll
> find. The inflationary-universe theory opens the possibility that on
> the largest scale the universe may in fact be grossly hyperbolic.

The first comment might be possible if galaxies are not a good tracer
of mass in the universe, except that an indefinite extension of teh
clustering hierarchy would violate point #1.  The second is somewhat
mysterious to me.  The inflationary hypothesis suggests that on the
largest scale the geometry of the universe could be nearly anything,
but on visible scales (billions of light years) should be close to
a flat Friedman model.

This seems more like net.astro than net.space.  I am cross listing it.
Perhaps discussion should continue there.
-- 
"Ma, I've been to another      Ethan Vishniac
 planet!"                      {charm,ut-sally,ut-ngp,noao}!utastro!ethan
                               ethan@astro.UTEXAS.EDU
                               Department of Astronomy
                               University of Texas