Earlier quoted context omitted.
I think one resolution is the finite speed of light. Even if there are infinite stars in any given direction, they haven't been around long enough for the brightness to be infinite. This "paradox" is basically just theorizing an aspect of the heat death of the universe.
The paradox says that an universe infinite in space and time would have to be bright in all directions. By infinite in time, I mean that the universe has been around infinitely long, i.e. it has no beginning. The finite speed of light wouldn't matter here since the light would have had an infinite amount of time to reach you.
Olbers' paradox
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Re: Olbers' paradox
#12Earlier quoted context omitted.
The paradox says that an universe infinite in space and time would have to be bright in all directions. By infinite in time, I mean that the universe has been around infinitely long, i.e. it has no beginning. The finite speed of light wouldn't matter here since the light would have had an infinite amount of time to reach you.
Huh? We definitely know that that doesn't describe the universe. If two points are so far apart that the expansion of space inflates the distance between them faster than light can cross it, then no light can ever reach from one to the other, even if it travels for an infinitely long time.
Re: Olbers' paradox
#13Earlier quoted context omitted.
The paradox says that an universe infinite in space and time would have to be bright in all directions. By infinite in time, I mean that the universe has been around infinitely long, i.e. it has no beginning. The finite speed of light wouldn't matter here since the light would have had an infinite amount of time to reach you.
Huh? We definitely know that that doesn't describe the universe. If two points are so far apart that the expansion of space inflates the distance between them faster than light can cross it, then no light can ever reach from one to the other, even if it travels for an infinitely long time.
Re: Olbers' paradox
#14Only a finite number of stars have had enough time to reach the earth. So there can only be a finite number of concentric shells.
Re: Olbers' paradox
#15From what I remember from Coles-Lucchin, the finite age of stars does furnish a partial explanation: keeping the average density of lit stars the universe constant, does not solve the problem, since in general, when I look in a particular direction, any star in that direction will either be dead or lit, but still too far away for its light to have reached me.
Indeed the opposite would require fine-tuning the stars ignition time so that there is sphere of burning stars at the right distance.
Re: Olbers' paradox
#16What about the fact that we can barely see the light from some of the stars that we know are there (because of space dust, etc.)? How did somebody come to this conclusion just 150 years ago...
The energy absorbed by interstellar gas and dust doesn't just disappear, it's re-emitted at (mostly) infrared wavelengths. If there really were infinite stars in an eternal universe, everything would be heated to the same white-hot temperature, including the interstellar medium.
This is a logical truth.
Re: Olbers' paradox
#17Earlier quoted context omitted.
The energy absorbed by interstellar gas and dust doesn't just disappear, it's re-emitted at (mostly) infrared wavelengths. If there really were infinite stars in an eternal universe, everything would be heated to the same white-hot temperature, including the interstellar medium.
Think about what you're saying. In our current system, if you do not except infinity, then you are accepting that there is finite space for energy to escape to, which means that the lack of much visible light and infrared from distant stars available to Earthbound viewers implies that any distribution homogenous and similar to ours currently observable would result in similarly dark views from any vantage point. This…
Re: Olbers' paradox
#18Isn't this one explained by the speed of light? Only a finite number of stars have had enough time to reach the earth. So there can only be a finite number of concentric shells.
> If the universe is static, homogeneous at a large scale, and populated by an infinite number of stars
You're assuming an infinite number of stars sprang into existence a finite amount of time ago.
Re: Olbers' paradox
#19The universe might look like a cerulean sky, we just haven't evolved to see it that way yet.
Re: Olbers' paradox
#20Of course, given the quantum nature of light, this breaks down: at some (admittedly very large) distance, a star will be emitting so few photons in a given direction that it will be effectively black.
If the universe is infinite, for each particular direction there are an infinite number of stars. So even if the probability of a photon coming from a distant star is very low, there are infinitely many stars in that direction, so that direction will still be very bright. So the quantum nature of light does not change the paradox.