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Namely, that for a given amount of power, light travels a given distance, it cannot go any further than that power allows. Increase the power and increase the distance over which light is detectable, keep the power at a fixed level and it doesn′t matter for how long that light is on, it cannot travel one iota further than the power supplied to it allows.
That would imply that single photons suddenly poof out of existence for no obvious reason. It's not like photons consume energy to move.
to all intents and purposes, an infinite number of stars.
Olber′s paradox states that the sky is not uniformly bright although it contains, to all intents and purposes, an infinite number of stars.
Namely, that for a given amount of power, light travels a given distance,
No.It does more or less the opposite.Here's what WIKI says"Olbers's paradox, also known as the dark night paradox, is an argument in astrophysics and physical cosmology that says that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe. "Olber was clever enough to recognise the importance of the most commonplace observation; it gets dark at night.
My OP merely pointed out that there may be other contributing factors, which it is surprising to note, have not received the notice due them.
Olber′s paradox was the question of why the night sky is dark if the universe is infinite and filled with an infinite number of stars.
and also miss many of the significant points that were made about the propagation of light.
Surely one of the implications of everything that has been said and observed is that independent photons do not exist, in the sense of always being detected at a given distance from the source and at every point at that distance with the same energy and intensity? If your argument for independent photons were true then the inverse square law would not be true.
Photons have been detected, so we know they exist. The inverse square law is still approximately true because there are lots and lots of photons being emitted by stars.
always being detected at a given distance from the source and at every point at that distance with the same energy and intensity?