@#55: Yes, this is possible, but would require that we are at a special place in the universe.

]]>Unless an infinite universe has virtually all of its diameter at around a plank length.

]]>“there are directions you can draw a ray so that it doesn’t touch any points with integer coordinates.”

interesting thought, but the human eye can’t see a point, it has a limit of practical resolution. would any starless area of the sky be large enough to be resolved by a human eye (or for that matter even the most advanced telescope)? if not, then the sky would still look bright in every direction.

]]>As stars get farther away, their light gets fainter. So maybe that will take care of it ? Turns out not, due to a neat mathematical fact.

Consider a sphere 1 AU in radius centred on Earth. It will just about touch the Sun and thus only 1 star on the surface of the sphere.

Now consider a sphere say 1 million times larger. Every star lying on the surface of that sphere is 1 million times further away, so the light they contribute is 1/(1 million)^2 times that of the Sun.

But on average, if a sphere of size 1 AU touches just the Sun, a sphere of 1 million AU touches (1 million)^2 stars ! So, the overall light coming from that sphere = Same as from the Sun.

Now if space goes on till infinity, we get an infinite amount of light hitting us ! That’s the paradox.

]]>It might be possible to use calculus to prove that an infinite number of stars doesn’t necessarily add up to 100% of the sky, but I’m not up for that task right now.

Oh, and I should add: It’s /TEM-por-al/, not /tem-POR-al/. (I often hear a similar mistake with “electoral”.)

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