Those who follow the market politics thread will find I'm a fan of Madison's opening to Federalist #51 which is the clearest statement of what is the problem of government, the reconciliation of two logical opposites, freedom and order.
Quanta Magazine has a recent article showing that dilemma may have much more universal application, the dance between simple synchronization and chimeric. There may be physics first principles ways to predict or control markets.
In the head note to their article they say: “In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.”
Physicists Discover Exotic Patterns of Synchronization | Quanta Magazine
There remain some mysteries which may already be answered. But first a paragraph.
“But the chimera state is still not fully understood. Kuramoto worked out the math verifying that the state is self-consistent, and therefore possible, but that doesn’t explain why it arises. Strogatz and Abrams further developed the math, but other researchers want 'a more seat-of-the-pants, physical explanation,' Strogatz said, adding, 'I think it’s fair to say that we haven’t really hit the nail on the head yet' about why the chimera state occurs.”
It would seem the work of Nobel Laureate Ilya Prigogine and others supplies the answer as to
why because of their advances in studying mixtures. When that is pushed to its extreme, it is difficult how any notion of change is possible without some mixture of order and disorder. Hegel's third law of the dialectic discussed this over a century ago: "The negation of the negation."
The scientists are aware of wide applications, including why for example AI and deep learning often come up with connections we cannot fathom. I would say, by intuition. How many times do we wake up with the solution to a problem? Can you specify the rules for intuition? In these cases a new logic or illogic is needed.
“Many of the new synchronization patterns arise in networks of oscillators, which have specific sets of connections, rather than all being coupled to one another, as assumed in the original Kuramoto model. Networks are better models of many real-world systems, like brains and the internet”
And so we see how game changing elections may follow each other, and negate themselves, or not. The same is true, of course, for innovative companies like Tesla and market reactions to it.
“Remote synchronization jibes with findings about real-world networks, such as social networks. 'Anecdotally it’s not your friend who influences your behavior so much as your friend’s friend,' D’Souza said.”