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Comment by hatthew

I'm not sure I understand the distinction between "high-entropy macrostate" and "order". Aren't macrostates just as subjective as order? Let's say my friend's password is 6dVcOgm8. If we have a system whose microstate consists of an arbitrary string of alphanumeric characters, and the system arranges itself in the configuration 6dVcOgm8, then I would describe the macrostate as "random" and "disordered". However, if my friend sees that configuration, they would describe the macrostate as "my password" and "ordered".

If we see another configuration M2JlH8qc, I would say that the macrostate is the same, it's still "random" and "unordered", and my friend would agree. I say that both macrostates are the same: "random and unordered", and there are many microstates that could be called that, so therefore both are microstates representing the same high-entropy macrostate. However, my friend sees the macrostates as different: one is "my password and ordered", and the other is "random and unordered". There is only one microstate that she would describe as "my password", so from her perspective that's a low-entropy macrostate, while they would agree with me that M2JlH8qc represents a high-entropy macrostate.

So while I agree that "order" is subjective, isn't "how many microstates could result in this macrostate" equally subjective? And then wouldn't it be reasonable to use the words "order" and "disorder" to count (in relative terms) how many microstates could result in the macrostate we subjectively observe?

parent hatthew 1 year ago

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