If the Hubble Constant is constant (across the universe, not necessarily for all time)
then there is certainly a finite number of stars which can have any impact on us. There is an upper limit set by "the number of stars you can fit into a sphere with radius of 14x10
9 light years". In practice it is a lot less than that, since we are not particularly crowded by stars -
wikipedia said:
According to a
http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/970115.html" chappy, the number of stars is 10
21 which works out to about 30 stars per cubic parsec on average. This is 30 times higher than the density of stars where we are and about 3 times less than the density 100 parsecs out from the galactic core.
I read on various sites that our sun is average (strong anthropic principle at work?) and that the density of the sun is 1400 kg/m
3 - more than water, but less than rock. The sun's mass is about 2x10
30kg and keeping with the idea that it is average, that puts the mass of all the stars in the universe at about 2x10
51kg.
This http://www.cs.umass.edu/~immerman/stanford/universe.html" puts the mass of all visible matter at 6x10
51kg. I understand that, with cosmology, being within the same order of magnitude is often accurate enough.
The bottom line is that there does seem to be a generally accepted view that there is a finite number of stars.
To get onto the next issue, the universe being finite presents an additional problem. An infinite universe, even with an infinite number of stars may well be more conducive to night than a finite universe - since the finite universe is usually considered to be closed. There are plenty of very good arguments as to why universe doesn't have really have an edge. The consequence of that though is that given enough time and great fortune, a photon will travel all the way around the universe and end up back where it started. If all the photons are stuck in a closed system, and there are so many stars which have been generating photons all the time (this http://www.qwantz.com/fanart/alexreachrisberry_lightcannon.pdf" takes an admittedly humorous look but arrives at the sun producing in the order 10
45 photons every second), why is the nighttime sky dark?
If the universe were closed and the universe were not expanding, then we would probably be bathed in photons all the time - even if it were only with a miniscule proportion of all those photons which have been produced in the last 14*10
9 years. Even if the universe were expanding - but at a slowish rate - we would still get bathed in photons throughout the 24 hour day.
I'd posit that the universe expands at just the right speed to prevent _any_ photons from making a round journey. Faster and we would be all alone (unless this is a special epoch in the universe's history, of course), slower and we would be toasted to a crisp by all those photons falling on us.
What is that speed?
cheers,
neopolitan