Writers have been surprised by the possibility that small events could have far-reaching effects. A centuries-old proverb blames the destruction of a kingdom for the “lack of a nail” to fix a horse of fate. In ray bradbury, a short story of 1952, "ray sound of thunder," a man who was looking for stimulus through time and time stepped on a prehistoric butterfly and unexpectedly changed the electoral process。
In 1961, norton juster wrote in the phantom tollbooth, "what we do affects everything else and everyone, even if it is minimal. Why does a breeze blow all over the world when a domestic fly turns its wings?"
This phenomenon, commonly known as the butterfly effect, inspires imagination because it conflicts with the way we visualize the world. Small causes should have a small impact, not a big one. However, when the magic plot was about to be printed, mit researchers found that the butterfly effect was not just a romantic concept。
It is said that edward lorenz (edward lorenz, 1917 - 2008) was in the process of conducting weather simulations using raw computers from the early 1960s, and he noted that analogue weather systems with the same starting point (initial values) may eventually produce very different weather patterns. Further surveys indicate that the starting point is just the same. The computer will print the variable to three digits on paper, but it saves five digits in memory。
Thus, when both simulations appear to start with a variable set to 0. 214, the computer may actually be calculating weather patterns with 0. 21431 and 0. 21423 seeds. In lorenz's digital world, the value of these two additional figures may mean the difference between clear skies and tornadoes. His research has opened the realm of chaos theory. It also classifies the weather as a “chaotic system”, which means that the weather is so unstable that the metaphorical fanning of the butterfly wings allows it to embark on a completely new path。
Confusion challenges the core goal of physics: to make predictions. How can we trust our calculations if the undetectable initial uncertainty leads to completely different results? But since the lorenz era, chaos theory has evolved into a mature discipline。
Physicists have studied what makes the system confused (mixed) and how to measure the extent of confusion (mixed). In doing so, they are becoming aware of the pervasiveness of chaos, ranging from irregular heartbeats to wild stocks https://www. Quatamagazine. Org/hidden-chaos-found-to-lurk-in-cosystems-20207/。
Recent developments and elements of concern
In 2017, the geophysicist daniel rothman, in his groundbreaking paper in lorenz, noted a strange thanks to ellen fetter for processing numerical calculations. Through a number of historical surveys, rothman discovered that fitz and his colleague margaret hamilton were actually researchers in running simulations that led to lorenz's breakthroughs. He shared his findings with quantum magazine, which in 2019 reported on the hidden history of chaos at https://www. Quatamagazine. Org/the-hidden-heroines-of-chaos-20195020/。
Last year's hot show, three body problems, introduced another famous example of chaos to many audiences, first discovered by the french mathematician henry pongale in the late nineteenth century. When three stars orbit each other -- even if they seem to have entered a pattern of regular repetition -- - you'll never be able to predict when they'll suddenly start to appear. (in television dramas and early science fiction novels by liu zhisin, this poses a threat to the survival of three long-suffering civilizations
Pongalai's work on triads has attracted the attention of mathematicians long before physicists began to realize the role of chaos in modelling. In a 2022 column article at https://www. Quatamagazine. Org/how-martrommaticians-make-sense-of-chaos-2022302, mathematician david ritcherson explained the dynamics developed by mathematicians, which hit the core of the confusion。
The confusion system is confusing for humanity because we cannot measure and track all the tiny but important details — all the fanning of the wings of the butterfly that determine fate. However, in 2018 physicists indicated that https://www. Quatamagazine. Org/mechanine-learnings-amazing-ability-to-pririct-chaos-2018418, which is not necessarily the case for computers. Machine learning algorithms cannot completely lift the veil of the future of a confused system, but they are eight times as far away from humanity。
Recently, physicists have been studying a more dramatic unpredictability. An infamous finding in computer science suggests that it is impossible to come up with a general method of predicting whether computer programs will cease. Physicists have shown that this indecisiveness also affects certain man-made materials and fluids flowing through strange curved spaces。
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Even with a complete understanding of the initial state of the system, it is not possible to make certain predictions, such as whether ducks floating in these fluids will reach specific areas. One researcher described the phenomenon as “higher-level” chaos (disturbing) https://www. Quatamagazine. Org/text-level-chaos-traces-the-true-limit-of-predictability-20250307。
To gain an intuitive understanding of the sensitivity of the mixer system, please view this youtube video of elizabeth diggins, which, at https://www. Youtube. Com/watch? V=mm3i4m8ysnm, presents triangulations, with many simulations of the three-track world。
The weather is volatile and unpredictable, but not impossible. According to our dataworld, weather forecasts have become better over the past few decades as a result of improved data collection and increased computer functionality. Https://ourworldindata. Org/weather-forests。
Put aside metaphors, can butterflies really trigger hurricanes https://www. Viscience. Com/1745-butterfly-effect-weather-prevention. HTML? The answer is almost certainly no, natalie wolchover, the current physics editor of quantum magazine, wrote about life sciences in 2011。
References
Https://mailchi. Mp/quatamagazine. Org/why-colliding-particles-reveal-reality-4866335
Https://www. Quatamagazine. Org/hidden-chaos-found-to-lurrk-in-cosystems20207/
Https://www. Quatamagazine. Org/the-hidden-heroines-of-chaos-201952/
Https://www. Quatamagazine. Org/how-marteticians-make-sense-of-chaos-20220302/
Https://www. Quatamagazine. Org/mechanine-learnings-amazing-ability-to-predict-chaos-2018418/
Https://www. Quatamagazine. Org/text-level-chaos-traces-the-tru-limit-of-predictability-20500307
Https://www. Youtube. Com/watch? V=mm3i4m8ysnm
Https://ourworldindata. Org/weather-forests
Https://www. Lifescience. Com/1745-butterfly-effect-weather-prevention. HTML
