I think it’s an error from how physics generally assumes things.
If I remember right, most concepts in physics are completely reversible in time. So there’s no definite arrow of time needed.
Entropy is one of the few exceptions in that it has an arrow of time. Some say it _is_ the arrow of time. Some say it _created_ (or creates) time.
Which is it?
I dunno. I think I’m with you in that “entropy and time are associated with each other”. Anything beyond that is theoretical fun but gets wonky.
[this is where I should stop writing but I’m never good at that]
In Information Theory, Information and entropy are related in sort of an inverse relationship. The more information, the less entropy; the more entropy, the less information. But the entropy in information theory isn’t _quite_ the same as entropy in physics.
Entropy is a measure of disorder. So where do patterns come from?
Tiny vibrating membrane is a tiny pattern. But it’s only a pattern and measurable because of time. Need time to measure anything. Need time for duration. Need duration for existence.