# I Examples of emergence?

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1. Dec 28, 2017

### MiKiDe

For a school project, I've got to choose a subject. I chose "Emergence", but I have to narrow it down a little bit.
So, that's why I'm creating this topic.

The definition of emergence that I use:
By emergence, I mean the fact that proprieties of one scale implies other proprieties by changing scale. This process is called emergence.

My question :
Do you have any example of emergence that may be interesting to study?

For this subject, I'd like:
- To show mathematically that one theory implies proprieties in another scale.
- that it has to deal with the term "interaction".
- And if possible, to make some experiment.

I hope my question is clear enough (and I'm sorry if I made some mistakes in English, I tried not to...).

2. Dec 28, 2017

### Nidum

Last edited: Dec 28, 2017
3. Dec 28, 2017

### MiKiDe

For example, it is said that "The laws of classical mechanics can be said to emerge as a limiting case from the rules of quantum mechanics applied to large enough masses": do you have any example of this?

4. Dec 28, 2017

### gleem

I think the implication of emergence is that the whole is greater than the sum of its parts. Classical mechanics doesn't "emerge" from QM in the same sense .

5. Dec 28, 2017

### jbriggs444

6. Dec 28, 2017

### Andy Resnick

"Interesting" is subjective, but a few examples are:

glass transition
biological signalling networks
left-handed/negative refractive index materials
large-scale coherent structures in turbulent flow