I don’t get the controversy. This is pretty straightforward.
When you move the bottle, the contents move too. So whether they are moving isn’t the question.
Instead, you’re probably asking if the water is *tubulent*—with some parts of the water are moving relative to others. Again, yes, but not very much. We can see this with food coloring.
A half filled bottle with a drop of food coloring will shake up and distribute the food coloring. A totally filled bottle with a drop food coloring will take much longer to diffuse when shaken. But we also know hot liquid will diffuse colors faster than cold ones. So we know the molecules are still moving at room temperature.
An ideal fluid that cannot compress filled all the way so that there is no room for molecules of water to move around will not be able to move any molecules at all—but it still has a temperature right? So the molecules clearly actually are able to move around. Meaning we know this idealization can not possibly be real.
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