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[I asked] am still wondering how you would describe the "stuff" of waves?Is it
that you simply would not attempt such a description because our language
would not do it justice?
[Leigh's answer] Waves are easy; our language fully supports the concept
because we
can see and touch waves. Your question really relates to wavelike
phenomena, I suspect, and not to mundane water waves.
Let's start with the easiest problem then. Is there any "stuff" in
water waves? I think not. One merely observes a substance in motion
of a sort to which we give that name. It is to the motion itself
that we refer when we speak of water waves. That motion can be
described far more accurately (if less poetically) using mathematics
than by any other means. Is the mathematics "stuff"? No, it is not.