When studying the delicate balance of ecosystems, it seems that ecosystems with moderate change and diversity have a better overall balance than stable, uniform ecosystems. Small, irregular changes that have a certain degree of order seem to be called fluctuations. Small fluctuations that remain close to the average value, and small, unexpected disturbances within a certain degree of order also seem to fall under the category of fluctuations.
One of the fluctuations in this ecosystem seems to be disturbance, which means a short-term disruption of a stable ecosystem in a steady state, and small destruction promotes regeneration and diversity. Temperature, humidity, and the number of living organisms also seem to be constantly fluctuating within certain ranges, so perhaps nature is always fluctuating.
https://nougyoudoboku.com/intermediate-disturbance-hypothesis
The fact that they fluctuate moderately within a certain range seems like an intricate mechanism, and is mysterious, but there is something soothing about these fluctuations. The rhythm of waves, the strength and direction of the wind, the swaying of flames, the rustling of trees, the strength and intervals of rain, the flow and shape of clouds, the flow and sound of a river, etc. Among the fluctuations contained in these, there seems to be a fluctuation pattern called 1/f fluctuation, and it is said that a pattern in which periodic fluctuations are occasionally overlapped with irregular fluctuations gives a sense of naturalness.
1/f fluctuations are called pink noise because of the pattern in which high frequencies occur less frequently and low frequencies occur more frequently. There are also other types of noise such as red noise, which is a more extreme version of the pink noise pattern, and white noise, in which high and low frequencies occur with equal frequency. This suggests that many biological functions and natural phenomena have commonalities in the frequency of occurrence of frequencies. Pink noise is said to have a positive effect on cardiac function, perhaps because it is reminiscent of nature.
https://diamond.jp/articles/-/334943
In the microscopic world, there seems to be fluctuations in the movements of electrons and quanta, which is explained by the uncertainty principle, which considers electrons to be probabilistic entities. Also, when electrons fluctuate minutely within a certain range, an attractive force called van der Waals force is generated between molecules. The concept of quantum fluctuations seems to be incorporated into theories about the universe, and fluctuations seem to be important both in the microscopic and macroscopic worlds.
https://www.issp.u-tokyo.ac.jp/maincontents/news2.html?pid=1911
I have looked at various fluctuations, and in terms of periodicity, the overlapping of many cycles such as precession, which lasts for tens of thousands of years, the annual and daily cycles of revolution and rotation, the cycles of atmospheric and oceanic currents, and the life cycles of living things may be similar to the overlapping of many frequencies. Each cycle may contain a slight random component, and life may exist in a stable fluctuation. The exquisiteness of the fluctuation is amazing. The exquisiteness of the Earth is amazing.