An other random thing to consider;
Oscilloscopes don't really show you a continuous wave.
It just looks like they do.
An analog, CRT tube, oscilloscope is really displaying a series of pulses or samples.
The inability of the Phosphor to go dark immediately and our mental capacity for persistence of vision allows our minds to construct a continuous line/vector/curve form in our minds.
I don't know how that applies to the discussion... but I thought some might find it curious. I think it is easy to assume that a scope shows the actual waveform, but it's really just showing an analogy of it.
best regards,
mike