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- Is the butterfly effect real? 15 answers
I've been thinking about the butterfly effect since I asked my first question on this site, which was different because here I ask for showing me the mechanism for the "how". I even gave one (the first) answer as a favorite. Though many answers were given (many of which contained critical phenomena, which aren't the same as chaos: sure, if you change the direction of a little ball, which is aimed at the detonation device of a thermonuclear bomb, and the ball will miss the device because of this, the difference will be enormous: a bomb blast or not! If this ain't a very different response to a small change of initial conditions...But it ain't chaotic behavior). it's still not clear to me how clapping my hands can cause a hurricane far away. The weather system will the same after clapping my hands already at a little distance from my clapping due to the dissipation of my clapping energy into the surrounding air, and maybe a solution can be given in terms of energy.
If I'm standing in a heavy hurricane, I just can't imagine the storm could not have developed if someone far away didn't clap her hands
The best way to explain this is to give the chain of causes and effects that will lead to this hurricane if I clap my hands instead of not clapping at all. The weather system, for sure, contains no criticalities. The answer can also be given in the causes and effects of larger chunks of air (from little vortices to the similar behavior at larger scales, which are different only in their time-scale), rather than on the atomic level.
In a double pendulum, you don't vary the places in phase space by a small (and non-random) way for just a few atoms to show the dp shows chaotic behavior. You vary both arms of the dp by a tiny amount and see what happens, which, contrary to the weather can easily be done in an experiment.
The same reasoning can be given for a weather system.
Is there someone who can show this chain which causes the faraway hurricane by just clapping my hands and leave everything else the same?
Please don't think I ask this for collecting votes because it did in my first question ever here. You can see the contrary is happening, but I just want to see an argument that shows that you can't say the weather system is chaotic by varying a very tiny small part of it.