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I never got past first-year physics in college, so hopefully you guys can help me understand these findings a bit more.

So, quantum entanglement is essentially the idea that the quantum state of a group particles cannot factored out individually. Chaos theory is the idea that complex systems are deterministic, but that even minute changes in the initial parameters of the system, or the forces applied to the system can cause dramatically different outcomes.

The issue with binding these models is that quantum mechanics operates on probabilities, which are fundamentally incompatible with the idea of determinism. It's impossible to call a quantum system deterministic when, for example, measuring the spin of a particle has a 50% chance of a different outcome each measurement, regardless of the initial state.

Is this understanding somewhat correct?

If so, the implication of this research is that quantum entanglement somehow produces a deterministic environment from a large collection of probabilities? Almost like a reverse monte carlo simulator?




> Chaos theory is the idea that complex systems are deterministic, but that even minute changes in the initial parameters of the system, or the forces applied to the system can cause dramatically different outcomes.

You can have chaotic deterministic dynamics, and this can help explain why formally deterministic systems are indeterministic in practice. But you can just as well have chaotic dynamics in a formally indeterministic system. Chaos is about (a) sensitive dependence on initial conditions and (b) bounded phase space (or some sort of other restriction that implies the "folding" phenomena when combined with (a)). In particular, there is a whole field of quantum chaos, and there's nothing contradictory about it.

> If so, the implication of this research is that quantum entanglement somehow produces a deterministic environment from a large collection of probabilities?

Nope.


If I may make a correlation to initial conditions and randomness: https://bl.ocks.org/mbostock/19168c663618b7f07158


>The issue with binding these models is that quantum mechanics operates on probabilities

>Is this understanding somewhat correct?

No! The schrodinger equation and the quantum state of a system is 100% deterministic. Probabilities only come into play during the observation step.


You might be interested in this view: http://www.scottaaronson.com/democritus/lec9.html

It basically views QM as a generalization of probability theory which allows negative probilities.


Not just negative, but complex. Also, not really probabilities, but probability-square-roots.


About chaos theory. You can experience it in playing Starcraft 2. In the very beginning make tiny decisions on workers vs soldiers. Or where to fortify or what to upgrade and see entire game getting influenced by it.

Have dusted it off after years. Still such a great game




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