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Walking alone makes you smarter. Don't Forget the Flâneur by Kathleen Rooney - Poetry Foundation

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"The most interesting positive finding we have so far is that these spontaneous fluctuations are neither random nor deterministic, but have an unpredictable "fractal" structure. A fractal is a pattern that roughly repeats across scales — like a tree whose few big branches have many smaller branches with even more leaves that look like tiny branches. Scientists have found that spontaneous neural activity follows a similar branching pattern throughout the brain, and has a related proportion of a few slow and strong frequencies to more faster and higher frequencies scientists call "pink noise." With this discovery, researchers are now starting to observe changes in these fluctuations related to aging, consciousness, mental health, experiences of art and nature, and memory.

When we take a walk outside, the fractal rhythms of our heart synchronize with the fractal rhythms of our lungs and our fractal gait. Researchers have also shown that our wandering bodies make our minds wander too. On a walk, our brain waves slow down. The underlying spontaneous fluctuations bubble up more easily, creating experiences of spontaneous thoughts and associations that seem to come from nowhere. We often call them "moments of inspiration." 

https://www.salon.com/2021/08/28/walking-and-spontaneous-fluctuations-brain/ 

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