The repetitive, rhythmic motion of drawing fluid lines induces a meditative, flow state by synchronizing brain waves. This rhythm can stimulate the release of dopamine and calm the amygdala, reducing stress and enhancing a sense of relaxed focus.
This type of non-representational, sensory-focused drawing (ideation-free) allows the default mode network (responsible for self-referential thought and worry) to quiet down, giving the brain a rest from problem-solving and introspection.
Doodling waves is a form of active meditation. The continuous, flowing line is a physical metaphor for letting thoughts and feelings pass through you without getting stuck. You are not drawing a picture; you are tracing the rhythm of your own nervous system, guiding it toward calm.
This is a practice in 'process over product.' There is no right or wrong way. The goal is not a masterpiece but the state of mind achieved during the act. It's a permission slip to be imperfect, fluid, and present, much like the water you're drawing.