Because every time the distance doubles, the signal strength decreases by the square root. I.e. if the signal strength was 100 watts @ one light year, it's 10 watts at two light years. Ergo the signal (read: light) is very faint to begin with.
In addition, your eyes are very small. They're not a thousand mile wide antenna that can perceive stars' omnidirectional signal as bathing that entire side of the planet in light. They only perceive the tiny amount that fits through your retina. E.g. look at a running light on a plane. It's omnidirectional but looks like a point - and that's at 5-6 miles up, not light years away.
Because every time the distance doubles, the signal strength decreases by the square root. I.e. if the signal strength was 100 watts @ one light year, it's 10 watts at two light years. Ergo the signal (read: light) is very faint to begin with.
In addition, your eyes are very small. They're not a thousand mile wide antenna that can perceive stars' omnidirectional signal as bathing that entire side of the planet in light. They only perceive the tiny amount that fits through your retina. E.g. look at a running light on a plane. It's omnidirectional but looks like a point - and that's at 5-6 miles up, not light years away.
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